Patent No. 5800481 Thermal excitation of sensory resonances
Patent No. 5800481
Thermal excitation of sensory resonances (Loos, Sep 1, 1998)
Abstract
In man, autonomic and cortical resonances of the nervous system can be excited by inducing subliminal heat pulses in the skin by means of a resistive heat patch, laser, heat lamp, or microwave radiation, or through a slow air jet that carries a small periodic fluctuation in temperature. Deeply subliminal skin temperature oscillations of frequency near 1/2 Hz induced in a subject by any of these means cause sleepiness, drowziness, relaxation, a tonic smile, ptosis of the eyelids, a tense feeling, sudden loose stool, or sexual excitement, depending on the precise pulse frequency used. For certain higher frequencies, the induced subliminal skin temperature oscillations cause fractured thought and a slowing of certain cortical processes. The method and apparatus can be used by the general public as an aid to relaxation, sleep, or arousal, and clinically for the control and perhaps treatment of tremors, seizures, and emotional disorders. There is further application in the form of nonlethal weapons, involving a pulsed infrared laser or a pulsed microwave beam, tuned to a sensory resonance pulse frequency.
Notes:
 BACKGROUND 
  OF THE INVENTION 
  
  In man, the nervous system responds markedly to certain sensory signals in a 
  narrow band of frequencies near 1/2 Hz; the response to the sensory signals 
  includes sleepiness, drowsiness, relaxation, a tonic smile, ptosis of the eyelids, 
  the feeling of a "knot" in the stomach, sudden loose stool, and sexual excitement, 
  depending on the precise frequency used. The narrowness of the band of effective 
  frequencies is suggestive of a resonance, and the phenomenon is therefore called 
  "the 1/2 Hz sensory resonance". The resonance can be excited through the sense 
  of balance, as we know from "rocking the baby" or relaxing in a rocking chair. 
  But the resonance can also be excited by physical means other than motion, such 
  as externally generated weak electric and magnetic fields, as discussed in the 
  copending patent application Ser. Nos. 08/447394, [1], and 08/486918, [2]. The 
  electric field excitation appears to involve stimulation of Ruffini endings 
  in the skin [1], and the magnetic field excitation is believed to occur through 
  stimulation of muscle spindles and the vestibular end organ [2]. All the receptors 
  mentioned use frequency coding in their data transmission. 
  
  SUMMARY OF THE INVENTION 
  
  It has been shown in our laboratory that the induction of subliminal heat pulses 
  with a frequency near 1/2 Hz in the human skin can cause sleepiness, drowsiness, 
  relaxation, a tonic smile, ptosis of the eyelids, a tense feeling, sudden loose 
  stool, and sexual excitement, depending on the precise pulse frequency used. 
  The need for rather precisely tuned frequencies suggests that one is dealing 
  with a resonance phenomenon. Since the resonances are excited through the senses 
  and involve the autonomic nervous system, they are called "autonomic sensory 
  resonances". Experiments have shown that, for the mentioned responses to occur, 
  the amplitude of the skin temperature oscillations must fall in a rather restricted 
  range, called the effective intensity window. 
  
  Further experimentation has shown the existence of resonances at higher frequencies. 
  These resonances appear to involve cortical processes and are therefore called 
  "cortical sensory resonances". A large resonance of this type has been found 
  near 2.4 Hz, and smaller resonances have shown up near 2.2, 3.9, and 6.9 Hz. 
  These resonances are detected by letting the subject repeatedly count backward 
  from 100 to 70, while the frequency of the heat pulses is varied very slowly. 
  The resonances show up as pronounced peaks in the graph of counting time versus 
  heat pulse frequency. As is the case for autonomic sensory resonances, for the 
  physiological effects to occur, the heat pulse amplitude must lie in a certain 
  effective intensity window. The cortical sensory resonances cause a slowing 
  of certain cortical processes. Furthermore, prolonged exposure to heat pulses 
  near 2.4 Hz can cause mental states that may be characterized as "fractured 
  thought". It takes considerable time for the responses to develop fully. 
  
  The heat pulses may be induced in the skin by conductive, convective, or radiative 
  means. For conductive induction, the apparatus can be a battery-powered pulse 
  generator that powers a small resistive heat patch placed on the skin of the 
  subject. The heat patch employs either a resistive wire or a sheet of conductive 
  polymer. Heat pulses suitable for excitation of autonomic or cortical sensory 
  resonances are so weak as to be deeply subliminal. 
  
  Convective heat pulse induction may be achieved by an air jet which is heated 
  in pulsed fashion. The jet is aimed at the face of the subject. The full array 
  of physiological responses can be obtained even when the air velocity over the 
  skin is imperceptibly small and the periodic fluctuations of the air temperature 
  in the jet cause skin temperatures variations of subliminal magnitude. 
  
  Radiative induction may be achieved by a a pulsed heat lamp, a chopped heat 
  lamp beam, a keyed laser beam, or by pulsed microwave radiation. The effective 
  intensity window for excitation of the cortical sensory resonance near 2.4 Hz 
  has been measured for the case of heat pulses induced in a large skin area by 
  pulsed heat lamp radiation; the window has been found to extend from 0.8 to 
  3.0 mW/cm.sup.2. 
  
  These discoveries open the way for influencing the nervous system of a subject 
  by delivering weak heat pulses to the subject's skin. Devices for such purpose 
  can be used by the general public as a sleeping aid, and as an aid for relaxation, 
  control of anxiety and stage fright, or for facilitation of sexual arousal. 
  Clinical use is seen for the control, and perhaps the treatment, of emotional 
  disorders, tremors, and seizures. 
  
  Radiative heat pulse induction lends itself to application in non-lethal weapons 
  for remotely exerting an influence on a subject's nervous system. This can be 
  done covertly with a keyed infrared laser beam or with a pulsed microwave beam. 
  In the latter case, high frequency is desirable since it results in small skin 
  depths in human tissue, thereby minimizing the wasted heat generated in deeper 
  lying tissue much below the cutaneous thermoreceptors. 
  
 DETAILED 
  DESCRIPTION OF THE INVENTION 
  
  As mentioned in the Background Section, the excitations of the 1/2 Hz sensory 
  resonance by rocking motion, weak external electric fields [1] and weak magnetic 
  fields [2] all are believed to involve sensory receptors that use frequency 
  coding for reporting information to the central nervous system. Since cutaneous 
  thermoreceptors also use frequency coding [3,5], and skin temperature fluctuations 
  may occur in rocking motions as a result of induced air currents, the question 
  arises whether perhaps the 1/2 Hz sensory resonance can be excited also through 
  cutaneous thermoreceptors. It has been found in our laboratory that this is 
  indeed the case; when heat flux pulses of appropriate pulse frequency and intensity 
  are delivered to the skin by a small resistive heat patch, the subject experiences 
  autonomic nervous system responses that include sleepiness, drowsiness, relaxation, 
  a relaxed soft feeling in the stomach, a tonic smile, ptosis of the eyelids, 
  a "knot" in the stomach, sudden loose stool, and sexual excitement. The various 
  responses occur at slightly different frequencies near 1/2 Hz. The appropriate 
  frequency for each of these responses can be determined, either by the subject 
  or by someone else in attendence, through manual frequency scanning, wherein 
  the frequency of the heat pulses is manually adjusted, usually in monotonic 
  fashion, in small steps until the desired response is obtained. From the observation 
  that the various responses occur at slightly different frequencies it appears 
  that the 1/2 Hz sensory resonance encompasses a multiplet of resonance frequencies, 
  one for each particular autonomic response. When the heat pulses are first applied, 
  the resonance frequencies are observed to undergo a downward drift, large at 
  first, but diminishing in time. Eventually the frequency drift stops altogether, 
  so that the resonance frequencies become steady. Crude preliminary experiments 
  suggest that the multiplet of resonant frequencies drifts downward as a whole. 
  Upon discontinuing the administration of heat pulses, the multiplet frequencies 
  drift back up again, as can be seen during a brief resumption of the pulses. 
  The frequencies for the various physiological responses depend somewhat on the 
  state of the nervous system. 
  
  Of all the responses to the 1/2 Hz sensory resonance, ptosis of the eyelids 
  stands out for distinctness, ease of detection and frequency sensitivity. When 
  voluntary control of the eyelids is relinquished, the eyelid position is determined 
  by the relative activities of the sympathetic and parasympathetic nervous systems. 
  The heat pulse frequency for maximum ptosis is called the ptosis frequency; 
  it can be found by manual frequency scanning. The ptosis frequency initially 
  drifts downward, eventually settling at the steady ptosis frequency. The latter 
  can be determined by manual tracking of the ptosis frequency, in which the frequency 
  is manually adjusted such as to keep the ptosis maximum. At a fixed frequency 
  slightly above the steady ptosis frequency the ptosis oscillates with a period 
  of one or several minutes. Therefore, the steady ptosis frequency can also be 
  determined by finding the frequency setting at which this oscillation ceases, 
  and the ptosis remains strong and steady. 
  
  The intensity of the heat pulses delivered to the skin is an important parameter 
  in the experiments; it has been noticed that the heat flux density must be very 
  small, in fact deeply subliminal, for the mentioned responses to occur. This 
  experimental result can be understood in terms of nuisance-guarding circuitry 
  in the brain, that blocks nuisance signals from higher processing. Of course, 
  these signals must exceed a certain strength for the guard circuits to be activated, 
  and this signal strength determines the upper limit of a window of effective 
  stimulus intensities. The lower limit of the window is determined by a signals 
  which are only marginally able to excite the resonance. It has been found that 
  a radiative power density of 0.6 mW/cm.sup.2 from a heat lamp applied to a large 
  part of the skin is suitable for exciting the 1/2 Hz resonance, evoking the 
  whole array of autonomic responses mentioned for various frequencies near 1/2 
  Hz. At very low power densities it takes considerable time, up to half an hour, 
  for physiological effects to develop. The frequency drift decreases with diminishing 
  power density, but of course the slow development of responses makes frequency 
  tracking difficult. 
  
  In extensive sleep experiments it has been found that pulse frequencies effective 
  for inducing sleep are somewhat lower than the steady ptosis frequency. Before 
  using a heat pulse device for the first time as a sleeping aid, it is recommended 
  that a ptosis frequency is first determined by manual scanning. Then, starting 
  with this frequency, the subject should adjust the tuning control every few 
  minutes by a small downward frequency step, until sleep sets in. The final frequency 
  setting should be written down in the morning, as it can be used as a fixed 
  setting for the next session. 
  
  Heat pulses may be induced in the skin by conductive, convective, or radiative 
  processes. In the first two cases, heat is delivered stricly to the surface 
  of the skin, whereas with radiative induction there is heating by photon absorption 
  in an extended layer of tissue. The intensity of the heat pulses induced in 
  the skin by a device is defined here as the integral, taken over the line perpendicular 
  to the skin, of the heat induced by the device per unit of time and per unit 
  of volume in the skin and underlying tissue; it has the dimension of mW/cm.sup.2. 
  Note that the tissue under the skin is included in the integral; this is done 
  in order to make the definition applicable to microwave radiation, which may 
  have a skin depth [6] in excess of the thickness of the human skin. Thus, "induced 
  in the skin" is here used as a brief form for "induced in the skin and underlying 
  tissue". As formal cutoff for the integral a point may be used half way between 
  the skin point considered and the diametrically opposed point on the skin which 
  lies on the line of integration. 
  
  The array of autonomic responses elicited by induction of subliminal skin temperature 
  oscillations is roughly the same as that achieved by application of weak electric 
  or magnetic fields, as described respectively in copending U.S. patent application 
  Ser. Nos. 08/447394, [1], and 08/486918, [2]. However, the dynamics of excitation 
  and the guard circuitry involved cannot be quite the same for the three different 
  stimulation modalities, since experiments with sleeping aid applications show 
  that habituation of the nervous system to the stimulation can be thwarted to 
  a large extent by switching stimulation modality after several nights of use. 
  
  
  Heat flux pulses, administered by a heat patch, have been applied successfully 
  to the thighs, fingers, cheeks, neck, abdomen, and perinaeum. As compared with 
  the electric and magnetic excitation, the thermal excitation of the 1/2 Hz sensory 
  resonance has the advantage of a stricter localization of the stimulus. Although 
  the electric or magnetic field can be localized to a considerable extent by 
  the use of special electrodes or coils, the fields always have fringes that 
  smear the boundary of the region of application. Such smearing is essentially 
  absent in the thermal excitation with a heat patch. The strict localization 
  of administration of heat flux pulses to the skin can be used, in research and 
  perhaps clinically, for a novel kind of neurological testing of cutaneous thermoreceptors, 
  their afferents, and the neural circuitry onto which the latter project. Furthermore, 
  the stricter localization provides more options for diminishing habituation 
  by shifting the application region. 
  
  Experiments have also shown the importance of the size of the skin area in which 
  the heat pulses are induced. At an appropriate fixed value for the total heat 
  pulse power, a greater physiological effect was obtained by increasing the skin 
  area of application, so that the heat pulses are spread over a larger area. 
  
  
  Since the electric power dissipated in the resistive heat patch is quadratic 
  in the driving voltage, the voltage pulses may as well be of single polarity, 
  for the sake of efficiency. For square wave voltage pulses with 50% duty cycle, 
  rising from 0 to V, the V/2 DC bias causes an initial average heating over periods, 
  so that the long term temperature T of the cutaneous thermoreceptors oscillates 
  around a slightly elevated temperature T.sub.av. The receptors respond to the 
  temperature oscillation by an oscillatory modulation of their firing frequency 
  f. The receptor responsivity df/dT may depend on T.sub.av. 
  
  Further experimentation in our laboratory has shown the existence of sensory 
  resonances at higher frequency, albeit of a different nature than the 1/2 Hz 
  resonance, because they appear to mainly involve the cortex rather than the 
  autonomic system. These higher-frequency resonances manifest themselves as pronounced 
  increases in the time needed by the subject to count backward from 100 to 70. 
  Using radiative induction of heat pulses in the skin, a large resonance has 
  been found near 2.4 Hz, and smaller resonances have shown up near 2.2 Hz, 3.9 
  Hz, and 6.9 Hz. Since counting backward through a sequence of numbers involves 
  cortical processes, these resonances are here called cortical sensory resonances, 
  in distinction with the multiplet of 1/2 Hz sensory resonances discussed earlier, 
  which henceforth will be called autonomic sensory resonances. These names are 
  not to be interpreted as implying that the resonances necessarily involve cortical 
  and autonomic circuits in their resonance dynamics, but rather that the excitation 
  of these resonances have respectively mainly cortical and autonomic consequences. 
  
  
  The cortical sensory resonances have been discovered only recently. Although 
  there has been no time for investigating whether these resonances also can be 
  excited by stimulations other than thermal, such as by electric or magnetic 
  fields, this result is anticipated. In this regard, we report success in sleep 
  experiments conducted over a period of three weeks, using stimulation of a nature 
  different from heat pulses, at frequencies near 2.4 Hz. It has also been noticed 
  that prolonged exposure to stimulation at these frequencies cause fractured 
  thought and concentration difficulties. It is expected that such results may 
  also be obtained from induction of heat pulses in the skin. 
  
  Although our pulsed heat induction experiments have not gone beyond frequencies 
  of about 12 Hz, further cortical sensory resonances are expected to exist, perhaps 
  up to 45 Hz. Collectively, the autonomic and cortical sensory resonances will 
  here be called sensory resonances. 
  
  The discovery that in man certain sensory resonances can be excited by inducing 
  heat pulses in the skin leads to a method and apparatus for artificially influencing 
  the central nervous system of subjects. Certain devices based on this discovery 
  may be used by the general public as a sleeping aid, or as an aid for relaxation, 
  control of anxiety and stage fright, or for facilitation of sexual arousal. 
  
  
  A preferred embodiment of the invention is shown in FIG. 1, where a voltage 
  generator 1, labeled "GEN", is connected through a thin coaxial cable 2 to a 
  small resistive heat patch 3, consisting of a resistance wire placed in a zig-zag 
  pattern between two adhesive sheets of electrical insulator. The heat patch 
  3 is placed in physical contact with the subject 4 on a selected area of skin. 
  The generator 1 produces current pulses 5 through the coaxial cable 2 and the 
  resistive heat patch 3. The frequency of the voltage generator 1 can be manually 
  adjusted with the tuning control 6, so that by manual scanning a pulse frequency 
  can be found at which a sensory resonance is excited in the subject. The heat 
  patch 3 may be secured to the skin with adhesive tape. Low pulse frequencies 
  can be measured by monitoring the flashes of LED 7. The arrangement shown is 
  particularly convenient for use as a sleeping aid. Instead of a resistance wire, 
  a conductive polymer sheet may be used as the resistive element in the heat 
  patch. 
  
  An embodiment in which heat pulses are induced in the skin of the subject in 
  radiative manner is shown in FIG. 2, where generator 1, labeled "GEN", produces 
  voltage pulses with a frequency that can be adjusted with the tuning control 
  6. The voltage pulses drive an infrared cw laser diode which, together with 
  collimating optics, is shown as assembly 8 labeled "IR LASER". The laser assembly 
  8 produces an invisible infrared laser beam 9 which is keyed on and off according 
  to the pattern 5. By using the telescopic sight 10, the laser beam 9 can be 
  aimed at a distant subject 11, preferably at the lips 12. The strength of the 
  voltage pulses that drive the laser laser is adjusted by the amplitude control 
  13 such that the radiative power density at the subject's skin lies in the effective 
  intensity window for excitation of sensory resonances. When the tuning control 
  6 is then set to an appropriate frequency, the frequency modulation signal in 
  the afferents from the cutaneous thermoreceptors will excite in the subject 
  a sensory resonance. The pulse frequency may be read from the display 14. For 
  frequencies near 1/2 Hz, excitation of the subject's autonomic sensory resonance 
  will cause sleepiness, woosiness, relaxation, ptosis of the eyelids, arousal, 
  sudden loose stool or sexual excitement, depending on the precise frequency 
  used. For higher frequencies in the range from 1 to 45 Hz, excitation of cortical 
  sensory resonances will cause a slowing of certain cortical processes and, after 
  prolonged exposure, fractured thought; some secondary autonomic responses may 
  occur as well. A complex wave may be used for laser keying, such that autonomic 
  and cortical sensory resonances are excited together. The apparatus may be used 
  as a non-lethal weapon for covert operations, in which the nervous system of 
  a selected subject is influenced in a chosen manner, from a considerable distance. 
  In practice, the range of the device is limited only by line-of-sight and visibility 
  restrictions. The assembly consisting of the generator 1, the laser 8, and the 
  telescopic sight 10 can be mounted on a tripod 15, the upper part of which is 
  shown in FIG. 2. Instead of a cw laser, a pulsed laser may be used, and the 
  pulses are then keyed on and off with the square wave produced by the generator 
  1. In practice, the temperature fluctuations due to the individual laser pulses 
  are smoothed out by diffusion on their way through the skin so that the cutaneous 
  thermoreceptor temperature essentially oscillates only with the keying frequency. 
  Instead of a manual tuning control, the pulse train that keyes the laser can 
  be controlled automatically by a programmed processor such as the Basic Stamp 
  [4], in a manner known to those skilled in the art. 
  
  Experiments have been conducted at our laboratory with a 5 mW laser beam produced 
  by a 670 nm cw laser diode. The 1 cm diameter visible laser beam was aimed at 
  a subject's lips. Keying the laser on and off with frequencies near 1/2 Hz and 
  a 50% duty cycle caused the same array of physiological responses as found with 
  the heat patch application. Similar results were obtained with the laser aimed 
  at the upper part of the right foot of the subject. 
  
  A simple pulse generator for use with a resistive heat patch is shown in FIG. 
  3. The battery-powered generator is built around two RC timers 16 and 17. Timer 
  16 (Intersil ICM7555) is hooked up for astable operation; it produces a square 
  wave voltage with a frequency determined by potentiometer 18 and capacitor 19. 
  The square wave voltage at output 20 drives the LED 7, and appears at one of 
  the output terminals 21, after voltage division by potentiometer 22. The other 
  output terminal is connected to the negative supply. The output terminals 21 
  are connected, via a thin coaxial cable 2, to the resistive heat patch 3. Automatic 
  shutoff of the voltage that powers the timer 16 at point 23 is provided by a 
  second timer 17 (Intersil ICM7555), hooked up for monostable operation. Shutoff 
  occurs after a time interval determined by resistor 24 and capacitor 25. Timer 
  17 is powered by a 3 volt battery 26, controlled by a switch 27. Rounding of 
  the square wave is done by an RC circuit consisting of a resistor 28 and capacitor 
  29. 
  
  A compact packaging of the device of FIG. 3 is shown in FIG. 4, where all circuit 
  parts and the heat patch are confined to a small clam-type enclosure, such as 
  an eye shadow box 30 with hinge 31. Shown are the generator 1, labeled "GEN", 
  with tuning control 6, LED 7, and power switch 27. The generator provides current 
  pulses through a thin conductive polymer sheet 3', via connecting wires 2. The 
  conductive polymer sheet 3' is covered by an electrically insulating film 32, 
  which for purposes of semantic definition is here considered as part of the 
  boundary of the enclosure. 
  
  An embodiment with convective heat pulse induction is depicted in FIG. 5. Shown 
  are a power supply 33, labeled as "PWR", that provides power for a fan 34, labeled 
  as "FAN", which produces a jet 35 in the surrounding air. The jet is made to 
  pass through a grid 36 of resistor wires that are driven by voltage pulses from 
  a generator 1', labeled as "GEN", with pulse frequency tuning control 6. The 
  voltage pulses cause the resistor wires to be heated in a pulsed manner, with 
  the result that the air jet 35 exhibits a wave-like temperature pattern, which 
  is convected downstream with the jet motion. Hence, a subject 11' whose face 
  is exposed to the jet will undergo a pulsating heat flux to the skin. Experiments 
  in our laboratory with this type device have induced in the exposed subject 
  the array of autonomic responses mentioned above. In these experiments, the 
  flow of air over the subject's face was too slow to be sensed, and the rythmic 
  temperature fluctuations induced in the skin were imperceptible as well. The 
  apparatus is thus suitable for influencing a subject's nervous system in a covert 
  manner. 
  
  A resistive heat patch may generate electric and magnetic fields as a side effect. 
  Since such fields may contribute to the excitation of sensory resonances [1,2], 
  they are undesirable in certain situations, such as in research on purely thermal 
  excitation. If a heat patch is to be used in such situations, it must be shielded 
  so that the emanating electric and magnetic fields are reduced to negligible 
  magnitude. A design for such a shielded heat patch is depicted schematically 
  in FIG. 6, which shows a sandwich consisting of an inner electrode 37 in the 
  form of a plane metal foil, mounted between two thin sheets 38 of conductive 
  polymer, covered by the outer electrodes 39 in the form of plane metal foils. 
  An electrically conductive epoxy is used in the spaces 40 to secure electric 
  contact between the electrodes and the conductive polymer. The inner electrode 
  37 is electrically connected to the center conductor of the coaxial feed cable 
  2, and the outer electrodes 39 are connected to the braid. The connections are 
  made in the center of the heat patch, in order to obtain axisymmetry of the 
  currents through the electrodes. The two outer electrodes are connected together 
  by a conductive epoxy joint 41. During operation of the heat patch, the inner 
  electrode 37 is given a voltage with respect to the outer electrodes 39, but 
  since the latter form an enveloping shield, no electric field emanates from 
  the assembly. The electric currents 42 that flow from the inner electrode to 
  the outer electrodes are distributed throughout the conductive polymer; the 
  magnetic fields induced by these currents of opposite directions essentially 
  cancel outside the device, if the sandwich is very thin. The electric currents 
  flowing along the electrodes also have opposing directions and the same planar 
  pattern, if the sandwich has symmetry in the normal direction; the magnetic 
  field of these currents then also essentially vanishes if the sandwich is very 
  thin. Sandwiches as thin as 0.5 mm can easily be constructed. The outer electrode 
  that is not to be in physical contact with the skin can be covered with several 
  layers of insulating tape, in order to increase the stiffness of the assembly, 
  and to decrease the convective heat loss to the surrounding air. The driving 
  circuit should be such that the outer electrodes remain at ground potential, 
  and then no electric insulation needs to be used between the heat patch and 
  the skin of the subject. 
  
  An embodiment in which the heat pulses are induced by microwave radiation is 
  depicted schematically in FIG. 7. Shown are a microwave dish 43 illuminated 
  by a horn 44 driven by a power supply 45, labeled "PWR SUPPLY". A pulse generator 
  1, labeled "GEN", is connected to the power supply such that the microwave voltage 
  supplied to the horn 44 is modulated by a square wave 5. The frequency of the 
  square wave 5 can be adjusted by the tuning control 6. Subjects within the microwave 
  beam 46 will undergo a weak pulsed heating of an outer layer of their bodies, 
  the thickness of which is about the skin depth [6] for the microwave frequency 
  used; for a microwave frequency of 250 GHz, the skin depth in human tissue is 
  about 1 mm. In a certain window of microwave power densities, the induced temperature 
  oscillation of cutaneous thermoreceptors will cause excitation of sensory resonances 
  at appropriate pulse frequencies. The device can be used as a nonlethal beam 
  weapon for remotely influencing the nervous system of foes. 
  
  A device which produces radiative power pulses for therapeutic purposes is shown 
  in FIG. 8. A heat lamp 47 is powered by AC current 48 via a relay 49 which is 
  energized by voltage pulses produced by the generator 1, labeled "GEN". As a 
  result, the heat lamp is pulsed on and off according to the square wave 5. The 
  frequency of the pulses 5 can be varied through the frequency control 6. For 
  excitation of sensory resonances, the heat lamp is aimed at a selected portion 
  of the subject's skin. The subject's eyes must be shielded from the radiation. 
  
  
  Periodic radiative flux may also be obtained by chopping a steady radiative 
  beam. FIG. 9 shows such a device wherein a heat lamp 47 is powered by AC current 
  48. A baffle 50 with hole 51 is arranged such as to confine the radiation to 
  a beam, and the latter is interrupted periodically by the chopper 52 which is 
  rotated steadily by the electric motor 53, labeled "MOTOR". The speed of the 
  motor is controlled by the controller 54 labeled "CONTROL". The pulse frequency 
  of the beam can be set through the manual tuning control 55. The pulsed beam 
  is to be aimed at a selected area of a subject's skin, for the purpose of exciting 
  sensory resonances. The beam can also be chopped by an array of parallel rotating 
  strips in a louver arrangement; this approach affords a more compact device. 
  
  
  Presently, the experiments which show the existence of cortical sensory resonances 
  are described. The blinking heat lamp of FIG. 8 was used, but generator 1 was 
  replaced by a computer running a program which causes a computer port to produce 
  voltage pulses, that are used to drive the solenoid via an interface. The computer 
  slowly made small downward adjustments in the pulse frequency. The heat lamp 
  was aimed at the subject who was unclothed, in order to expose as much skin 
  to the radiative heat as possible. The subject's eyes were closed and shielded 
  from the radiation. A quantitative measurement made by the subject comprises 
  repeatedly counting backward from 100 to 70 as rapidly as possible, and recording 
  each counting time. The counting was done with the "silent voice" which is accompanied 
  by a sensation of slight stress in the vocal cords, instead of by mere thinking 
  of the numbers, which does not produce such sensation. The distinction between 
  these two modes of silent counting is important, since the former is much more 
  responsive to the stimulus than the latter. FIG. 10 shows a graph of the counting 
  time versus radiative heat pulse frequency, for an experiment in which the subject's 
  skin was exposed to heat radiation which, at the point of the skin closest to 
  the heat lamp had a peak power density of 2.5 mW/cm.sup.2. The pulse frequency 
  was changed very slowly, since at any one frequency considerable time is needed 
  for the development of a full response to the heat pulses. Since a large frequency 
  range had to be covered, the experiment was arranged over several days as a 
  set of separate runs of sensible duration; the starting point 56 and end point 
  57 of one such run at the extreme right in the graph are indicated. The graph 
  is therefore a cumulative plot of individual runs, some of which have an overlap 
  in frequency. In all runs the frequency was slowly decreased, in a leftward 
  direction along the graph. A large peak 58 is seen near the pulse frequency 
  of 2.4 Hz, with smaller peaks near 2.2 Hz, 3.9 Hz, and 6.9 Hz. The large peak 
  58 shows up in two different runs, with the trailing edges of the peaks coinciding 
  as marked by 59, and the leading edges 60 and 61 somewhat separated. Near 1/2 
  Hz, the graph shows only an insignificant peak 64. 
  
  As discussed, the intensity of the stimulus must fall in a certain effective 
  intensity window, in order that the mentioned physiological effects occur. The 
  quantitative subjective measurement of counting time discussed above affords 
  an opportunity for investigating the effective intensity window. This was done 
  by making experiment runs across the peak 58 of FIG. 10, using different values 
  for the radiative power density. The results of these runs are shown in FIG. 
  11, where graphs of the counting time versus frequency are shown for radiative 
  power densities ranging from 0.5 to 3.7 mW/cm.sup.2, for frequencies in the 
  range from 2.334 Hz to 2.647 Hz. The effective window is clearly seen, since 
  an appreciable peak is absent in graph 65 for the low power density of 0.5 mW/cm.sup.2 
  and also in graph 66 for the high power density of 3.7 mW/cm.sup.2, whereas 
  large peaks occur for graphs 67 and 68, respectively for intermediate power 
  densities of 1.1 and 2.5 mW/cm.sup.2. The decline of response near the upper 
  end of the intensity window is evident in graph 69 for a power density of 2.8 
  mW/cm.sup.2, which has a low peak. Note that the leading edges of the peaks 
  essentially coincide, as indicated by 70. 
  
  There needs to be concern that the electric and magnetic fields which emanate 
  from the pulsed heat lamp and its driving circuitry may contribute or perhaps 
  dominate the measured physiological response. Therefore, the experiments of 
  FIG. 11 were repeated while the radiation from the heat lamp was blocked from 
  striking the skin of the subject. In all other respects the experiment was the 
  same, and in particular, the electromagnetic fields emanating from the device 
  and exposing the subject were the same. The results of the experiment with blocked 
  radiation are shown in FIG. 12, where for all power densities shown, the graphs 
  71 are without significant peaks. It follows that the peaks of FIG. 11, for 
  1.1, 2.5, and 2.8 mW/cm.sup.2, are not due to electromagnetic fields, but are 
  indeed caused by the pulses of radiation impinging on the subject's skin. 
  
  So far, the heat pulses discussed were periodic. However, for the purpose of 
  thwarting habituation to the stimulation, irregular features may be introduced 
  in the pulse train, such as short-term variations of frequency of a chaotic 
  or stochastic nature. Such chaotic or stochastic heat pulses can cause excitation 
  of a sensory resonance, provided that the dominant frequency of the pulses is 
  close to the appropriate sensory resonance frequency. The dominant frequency 
  of pulses is defined here as the frequency at which the norm of the Fourier 
  transform of the temperature pulse train attains its maximum. If the maximum 
  is not unique, the lowest frequency in the set of maxima is formally taken as 
  the dominant frequency. For the purposes of this invention, the dominant frequency 
  needs to lie in the range 0.1 to 45 Hz, in order to include the known resonances, 
  and to allow for the possibility that further resonances exist below 1/2 Hz 
  and above 12 Hz. A chaotic square wave can be generated in a simple manner by 
  cross coupling of two timers. FIG. 13 shows such a hookup, where timers 72 and 
  73, each labeled "TIMER", have their output pins 74 and 75 connected crosswise 
  to each other's control voltage pins 76 and 77, via resistors 78 and 79. The 
  control voltage pins 76 and 75 have capacitors 80 and 81 to ground. If the timers 
  are hooked up for astable operation with slightly different frequencies, and 
  appropriate values are chosen for the coupling resistors and capacitors, the 
  output of either timer is a chaotic square wave with an oval attractor. Example 
  circuit parameters are: R.sub.78 =440 K.OMEGA., R.sub.79 =700 K.OMEGA., C.sub.80 
  =4.7 .mu.F, C.sub.81 =1.0 .mu.F, with (RC).sub.72 =0.83 s and (RC).sub.73 =1.1 
  s. For these parameters, the output 74 of timer 72 is a chaotic square wave 
  with a power spectrum that has large peaks near 0.40 Hz and 0.62 Hz. The chaotic 
  wave is suitable for the excitation of the 1/2 Hz sensory resonance. 
  
  As mentioned before, a complex wave may be used for the excitation of sensory 
  resonances. Although this possibility was mentioned in regard to the keyed laser 
  of FIG. 2, it can also be used with several other heat pulse induction devices, 
  such as the resistive heat patch of FIG. 1, the air jet with pulsed temperature 
  of FIG. 5, the pulsed microwave radiator of FIG. 7, and the pulsed heat lamp 
  of FIG. 8. A simple generator of a complex wave, suitable for the joint excitation 
  of a 1/2 Hz autonomic resonance and the 2.4 Hz cortical resonance, is shown 
  in FIG. 14. Timers 82 and 83 are arranged to produce square waves of frequencies 
  f.sub.1 and f.sub.2 respectively, where f.sub.1 is near 2.4 Hz, and f.sub.2 
  is near 0.5 Hz. The outputs 84 and 85 of the timers are connected to the inputs 
  of an AND gate 86. The output 87 of the AND gate produces a square wave of frequency 
  f.sub.1, amplitude modulated with a square wave of frequency f.sub.2, as indicated 
  by 88. 
  
  Complex, chaotic, or stochastic waves can be generated easily by a programmed 
  processor, such as the Basic Stamp [4], and programs can be tailored towards 
  thwarting habituation to the stimulus. 
  
  As noted before, the ptosis frequency initially drifts downward towards the 
  steady ptosis frequency. The characteristic time for this frequency drift depends 
  on the stimulus intensity, but is at least several minutes. This suggests that 
  the resonance is modulated by a process, the rate of which is controlled by 
  bulk substance release or uptake and perhaps diffusion; candidates for the substance 
  involved are neurotransmitters, second messengers, and hormones. The process 
  whereby the ptosis frequency is influenced by the bulk substance release, uptake, 
  or diffusion is here called chemical modulation of the resonance. It is expected 
  that the substance concentration perturbations have other, "extended" physiological 
  effects as well. For instance, pathological oscillatory activity of neural circuits, 
  such as tremors and seizures, is influenced by the chemical milieu of the circuits. 
  So are emotional disorders such as depression, mania, anxiety, and phobia. Hence, 
  the manipulation of the autonomic nervous system by means of heat pulses induced 
  in the skin may afford, through extended chemical modulation, some measure of 
  control of these disorders, and of tremors and seizures as well. It is postulated 
  here that such control is possible. The control may also provide a treatment 
  of some of the disorders, through conditioning and other plastic modifications 
  of neural circuits. 
  
  The invention may also be used to help prevent epileptic seizures by switching 
  on the thermal stimulation when a precursor or aura is felt by the patient. 
  A somewhat similar use is seen for the prevention of panic attacks. 
  
  The invention may be further be used for controlling tremors by upsetting pertinent 
  pathological oscillations through the activity of neural circuits partaking 
  in a suitable sensory resonance. 
  
  The cortical sensory resonance frequencies have not been observed to drift. 
  However, the physiological response to the stimulation builds very slowly. This 
  has been shown in an experiment using the pulsed heat lamp of FIG. 8, where 
  the subject is nude, with the eyes closed and shielded from the radiation. The 
  radiant power density was 1.1 mW/cm.sup.2 reckoned at the point of the subject's 
  skin closest to the heat lamp center, and the pulse frequency was fixed at 2.386 
  Hz, at the peak 58 in FIG. 10. In the experiment, the time needed for counting 
  backward from 100 to 70 was seen to rise slowly from about 20 s to about 60 
  s in 13.5 minutes; the counting time increased further to about 90 s in another 
  14 minutes, whereafter it stayed roughly at 90 s for the 32.5 minute remainder 
  of the experiment. A similar experiment with power density of 0.5 mW/cm.sup.2 
  showed a rather flat response, ranging from 20 to 29 s over the 20 minute duration 
  of the experiment. The slow development of the physiological response may perhaps 
  explain the lag, in FIG. 10, of the leading edge 61 of the peak 58 behind the 
  leading edge 60 of a run that had been going for a longer time; the starting 
  points of the former and latter runs are indicated respectively by 63 and 62. 
  From point 63 to point 61 the elapsed time was 23 min, compared with 112 minutes 
  elapsed from point 62 to point 60. It is not known whether the slow development 
  of the physiological response is due to the slow growth in amplitude of oscillations 
  of resonant neural circuits, or caused by the slow increase of perturbations 
  in substance concentrations that develop as a result of the resonance. Applications 
  of cortical sensory resonances are envisioned to include sleeping aids and sleep 
  therapy, and the control and treatment of emotional disorders, tremors, and 
  seizures. 
  
  For purposes of design and research, the transfer function from oscillating 
  power density incident on the skin to thermoreceptor temperature oscillation 
  needs to be known. The transfer function is needed for the three modes of pulsed 
  heat induction: conductive, convective, and radiative. 
  
  For conductive pulsed heat transfer, the calculation of the transfer function 
  proceeds as follows. A spatially uniform harmonically varying thermal flux density 
  P* sin .omega.t delivered to the outer skin surface causes at depth z below 
  the outer skin surface a temperature fluctuation ##EQU1## where c is the specific 
  heat and .rho. the mass density of the tissue, and .delta. is a diffusion length 
  given by ##EQU2## k being the thermal diffusivity of the tissue. Eq. (1) is 
  the one-dimensional solution of the diffusion equation for a semi-infinite homogeneous 
  slab, with a prescribed uniform value for .differential.T/.differential.z at 
  the surface, determined by the delivered thermal flux. It follows from Eq. (1) 
  that at depth z the temperature oscillation has an amplitude ##EQU3## Eq. (3) 
  shows that the heat diffusion from the skin surface z=0 to the depth z of the 
  thermoreceptors acts as a low pass filter because of the factor .omega..delta. 
  in the denominator and the exponental factor, considering how the diffusion 
  length .delta. depends on frequency. This low pass filter effect is here called 
  diffusional filtering. For numerical calculations one must know the depth z 
  of the thermoreceptors, as well as the diffusivity k in the skin. There are 
  two types of thermoreceptors: warm receptors and cold receptors. According to 
  Hensel [5], in man thermoreceptors lie at an average depth of 0.3 to 0.6 mm 
  for warm, and 0.15 to 0.17 mm for cold receptors. Hensel [5] has also measured 
  the thermal diffusivity k in man in the forearm skin, and reports k=0.0006 cm.sup.2 
  /s at 0.45 mm depth, and 0.001 cm.sup.2 /s at 0.90 mm. In human skin, cold receptors 
  are much more dense than warm receptors [5]. As a consequence of diffusional 
  filtering, the higher harmonics of the applied pulse wave form are severely 
  attenuated at the level of the thermoreceptors. This explains the experimental 
  finding that for thermal excitation of the 1/2 Hz autonomic sensory resonance 
  a square wave pulse can be used without experiencing the harsh sensation that 
  occurs for magnetic excitation [2]. When Eq. (3) is to be used for calculating 
  the thermoreceptor temperature oscillation amplitude that results from a given 
  sinusoidal heat stimulation, the heat capacity c and mass density .rho. of the 
  skin tissue must be known. Values of these parameters given by Van Bladel [8] 
  result in c.rho.=3.7 J/.degree.cm.sup.3 for muscle, and c.rho.=3.6 J/.degree.cm.sup.3 
  for blood. 
  
  When calculating the receptor temperature oscillation amplitude that results 
  from a given oscillating electric power dissipation in the heat patch, one must 
  account for the power needed for heating the patch itself. The calculation is 
  simple for the case of a thin patch that consists of materials with large thermal 
  conductivity; then, throughout the patch the temperature is essentially uniform 
  and equal to T(0) given by Eq. (1). The total oscillatory electric power density 
  dissipated in the heat patch is then ##EQU4## where C.sub.p is the heat capacity 
  of the heat patch per unit of surface area. In Eq. (4), the term P* sin .omega.t 
  is the density of the power transmitted across the interface z=0, from the heat 
  patch to the skin, per unit of area. Use has been made of Eq. (1) for the calculation 
  of the time derivative of the skin surface temperature. Accounting for the phase 
  difference of the two terms on the right hand side of Eq. (4), the total oscillatory 
  electric power dissipated in the heat patch per unit of area is found to have 
  an amplitude ##EQU5## where the cosine law has been used in the composition 
  of two vectors that include an angle .pi./4. Eqs. (3) and (5) give ##EQU6## 
  so that at depth z below the skin surface the temperature oscillation amplitude 
  can be calculated from the amplitude of the electric power density dissipated 
  in the heat patch by using an effective heat capacity per unit of area ##EQU7## 
  C.sub.p, the patch heat capacity per unit of patch area, can be measured by 
  taping a small thermistor to the patch surface, and covering the assembly with 
  thermal insulation tape. A step function voltage is applied to the heat patch, 
  and the thermistor temperature is measured at selected times. From these data 
  and the thermal response of the thermistor itself, C.sub.p can then be determined. 
  A typical value for C.sub.p is 0.1 J/.degree.cm.sup.2. 
  
  When the heat pulses are induced in the skin convectively, the skin is directly 
  warmed and cooled by the surrounding air flow. Standard convective heat transfer 
  theory [9] may be used to calculate the skin temperature oscillation that results 
  from a given temperature fluctuation in the air jet. The temperature fluctuation 
  at depth z of the thermoreceptors can then be calculated from Eq. (1), by eliminating 
  the factor in front of the exponential by using the known skin temperature T(0). 
  
  
  When the heat pulses are induced radiatively, heat is generated in the skin 
  by absorption of photons throughout a layer of some thickness, and the relation 
  (1) does not hold. Instead, one must use the inhomogeneous diffusion equation 
  
  
  where p is the density of the heat generated by photon absorption per unit of 
  time t at depth z. For the model in which a semi-infinite uniform absorbing 
  slab is illuminated by a harmonically varying flux of monochromatic photons, 
  the rate of deposited radiative heat per unit of area may be taken as 
  
  where .alpha. is the effective absorption coefficient of the photons and P* 
  is the oscillation amplitude of the total radiative power absorbed by the slab, 
  per unit of surface area. The effective absorption coefficient .alpha. must 
  include the effect of multiple scattering of photons in the tissue. A solution 
  of Eqs. (8) and (9) is ##EQU8## The interest here is in a solution for which 
  the heat flux at the slab surface z=0 vanishes at all times. This is the case 
  when the skin surface is not in conductive thermal contact with the surroundings, 
  and thermal radiation from the skin surface is neglected; note however, that 
  part of the incident radiative power may be reflected from the skin surface. 
  The solution of Eqs. (8) and (9), subject to the boundary condition .differential.T/.differential.z=0 
  at z=0, is ##EQU9## where the angles .psi. and .phi. are taken in the first 
  or fourth quadrant such that 
  
  The amplitude T* of the temperature oscillation T described by Eq. (12) is easily 
  found to be ##EQU10## For varying z, the square root in Eq. (14) oscillates 
  between the values 0.293 and 1.707, due to partial destructive and constructive 
  interference of temperature waves diffusing to the receptors directly from the 
  sites of heat deposit and indirectly via a reflection off the outer skin surface. 
  As a consequence, the spectral filtering exhibited by (14) can actually increase 
  the relative intensity of some harmonics in the receptor temperature waveform 
  as compared with the applied radiative flux waveform. An upper bound for the 
  receptor oscillation temperature amplitude can easily be found from Eq. (14), 
  as ##EQU11## 
  
  If the effective photon absorption length 1/.alpha.is much larger than the diffusion 
  length .delta., then the parameter .xi. of (11) is small compared to unity, 
  so that .psi.=0 and .phi.=.pi./4 in good approximation, and Eq. (14) becomes 
  ##EQU12## This expression may then be used for the device of FIG. 2, for the 
  purpose of calculating keying wave shapes which give a prescribed harmonic content 
  of the temperature wave shape at cutaneous thermoreceptors, such as to evoke 
  certain autonomic or cortical responses. For covert operations, harsh sensations 
  may be desired or avoided, depending on the type of operation intended. As an 
  aside it is noted that for certain laser photon frequencies non-thermal interactions 
  with the nervous system might occur, in which photons directly induce in certain 
  cutaneous receptors conformational transitions that cause frequency modulation 
  of spontaneous spiking. 
  
  Eq. (16) can also be used for heat pulse induction by microwaves, by taking 
  the absorption length 1/.alpha.as the skin depth [6] in human tissue. 
  
  Delivery of a thermal flux with uniform density can be done by a sheet-type 
  resistor consisting, for instance, of an electrically conducting polymer. If 
  the heat is generated by resistance wires, the delivered heat flux is nonuniform 
  over the heat patch, and an additional calculation is needed for determining 
  the spatial nonuniformity of the temperature variation at the depth of the thermoreceptors. 
  Although tedious, such a calculation is straightforward for the case that the 
  resistance wires are laid out in a periodic pattern such as in the heat patch 
  3 of FIG. 3. For a thin plane patch with embedded resistor wires in a plane 
  P of constant z, separate solutions can be written down for the two-dimensional 
  diffusion equation in the region between plane P and the free patch surface, 
  in the region between plane P and the skin surface, and in the skin modeled 
  as a homogeneous semi-infinite slab. These solutions are cosine series in the 
  direction y of the wire periodicity, with coefficients that have the essential 
  structure shown in Eq. (1), without the phase shift .pi./4, with cosine as well 
  as sine functions, and with both signs for .delta.. The numerical coefficients 
  in these Fourier series can be determined from the condition .differential.T/.differential.2=0 
  on the free surface of the heat patch (assuming zero heat loss from that surface), 
  a matching of both T and .differential.T/.differential.z on the interface between 
  patch and skin, and conditions on the plane P, namely a match of T and a jump 
  in .differential.T/.differential.z to the extent required by the heat input 
  in plane P by the resistance wires. This heat input can be modeled as a spatially 
  periodic set of delta functions, which can be expanded in a cosine series in 
  the sense of generalized functions [7]. The resulting solution in the skin may 
  be used for calculating the y-wise spatial nonuniformity of the cutaneous thermoreceptor 
  temperature oscillation. This nonuniformity causes a spatial nonuniformity of 
  the evoked FM signals over the neuron assembly upon which the receptor afferents 
  project topographically. These FM signals furnish the excitation of the sensory 
  resonance, and the nonuniformity of excitation amplitude over the involved assembly 
  of neural circuits is expected to have physiological consequences. A similar 
  comment applies to the nonuniformity of frequency modulation amplitude due to 
  the nonuniform distribution of the depth of thermoreceptors. 
  
  The analysis given above provides all that is needed for calculating the temperature 
  fluctuations of cutaneous thermoreceptors which results from heat pulse induction 
  in the skin with given parameters. Such a calculation is given here for radiative 
  heat pulses from a heat lamp as in FIG. 8, using data shown in FIG. 11. From 
  these data it is seen that the effective radiant power density window for exciting 
  the resonance near 2.4 Hz ranges approximately from 0.8 to 3.0 mW/cm.sup.2. 
  The resulting temperature oscillation amplitude of cutaneous cold receptors 
  is calculated, using z=0.16 mm for the average cold receptor depth [5], at a 
  pulse frequency of 2.386 Hz. The average absorption length 1/.alpha.for photons 
  from the heat lamp is estimated as 0.2 mm, c.rho. is taken as 3.7 J/.degree.cm.sup.3 
  [8], and the diffusivity k as 0.0006 cm.sup.2 /s [5]. The diffusion length .delta. 
  is calculated from (2) as 0.009 cm. Since 1/.alpha.=0.02 cm is considerably 
  larger than .delta.=0.009 cm, Eq. (16) may be used as an approximation, and 
  one finds the result that the effective window for the cold receptor temperature 
  oscillation amplitude T* ranges from 0.2.times.10.sup.-3 to 0.8.times.10.sup.-3 
  .degree. C. 
  
  For the same experimental setup, with pulse frequencies near 1/2 Hz, and a radiative 
  power density of 0.6 mW/cm.sup.2, for which the full array of mentioned autonomic 
  responses is produced, the estimate of the thermoreceptor temperature oscillation 
  amplitude T* goes as follows. For a pulse frequency of 0.5 Hz, Eq. (2) gives 
  .delta.=0.02 cm. With 1.alpha.=0.02 cm, the approximation (16) cannot be used, 
  and T* must be calculated from Eq. (14). The parameter .xi. of Eq. (11) turns 
  out to be 0.5, and the angles computed from Eq. (13) are .psi.=0.46 radian and 
  .psi.=1.25 radian. From Eq. (14) one finds T*=0.3.times.10.sup.-3 .degree. C. 
  for the amplitude of the cold receptor temperature oscillation for this case. 
  It is satisfying to see that this amplitude lies inside the effective window 
  from 0.2.times.10.sup.-3 to 0.8.times.10.sup.-3 .degree. C. calculated above 
  for the cortical sensory resonance near 2.4 Hz. It is noted that both these 
  results apply to the case where a large skin area was exposed to the pulsed 
  heat radiation. In contrast, in the visible laser experiment mentioned earlier, 
  only 1 cm.sup.2 of skin was exposed. In this experiment, the large power density 
  of 5 mW/cm.sup.2 is perhaps needed because only a small skin area was exposed. 
  
  
  For heat pulse induction by pulsed microwave radiation, Eq. (16) applies, with 
  the photon absorption length 1/.alpha.taken as the skin depth ##EQU13## where 
  .sigma. is the electric conductivity of the tissue, .mu. the permeabilty (4.pi..times.10.sup.-7 
  henries/m), and .omega. the radian frequency of the microwave radiation. Eq. 
  (16) shows that, for fixed frequency, cases with equal values for .alpha.P* 
  give equal thermoreceptor temperature oscillation amplitudes. This relation 
  can be used for calculating the power density of the pulsed microwave radiation 
  that is needed for effective excitation of sensory resonances, from the observed 
  effective intensity window that extends from 0.8 to 3.0 mW/cm.sup.2 for the 
  heat lamp radiation case analyzed above. From the constancy of .alpha.P* one 
  has 
  
  where P*.sub.mw and P*.sub.hl are respectively the power density of the microwave 
  radiation and of the heat lamp radiation, .alpha. is the average effective absorption 
  coefficient of the heat lamp radiation photons in the skin, and s is the skin 
  depth given by Eq. (17). For 250 GHz microwave radiation, the skin depth is 
  about 1 mm; with .alpha. estimated as 50 cm.sup.-1, as in the forgoing calculation, 
  Eq. (18) gives 
  
  so that for 250 GHz microwave radiation the effective intensity window for exciting 
  the cortical sensory resonance near 2.4 Hz extends from 4.0 to 15.0 mW/cm.sup.2. 
  
  
  The above calculation was made for cold receptors, because they are much more 
  numerous in human skin. For warmth receptors the responsivity is larger, but 
  there is an opposing effect due to the smaller exponential factor in Eqs. (14) 
  and (16), that results from the larger average depth of the warm receptors. 
  
  
  Heat loss from the skin due to radiation and sweathing has been ignored. The 
  former effect can be accounted for in straightforward manner, but at low frequencies 
  the sweathing response may be complicated by autonomic feedback loops. 
  
  The inventor served as the subject in all the experiments mentioned. 
  
  The invention is set apart from other therapeutic uses of heat pulse administration 
  by the minute power densities employed, by the low pulse frequencies and also 
  by differences in field of use. The discovery that induction of weak heat pulses 
  in the skin can excite in man the 1/2 Hz autonomic sensory resonance and several 
  higher-frequency cortical sensory resonances constitutes a novel development 
  in neuroscience that is unexpected and surprising. The peak power densities 
  applied to the skin are less than 10 mW/cm.sup.2, except for those cases of 
  pulsed microwave radiation of long wavelengths that have large skin depths at 
  these wavelengths. 
  
  The invention also differs from the relaxation machines where pulsing lights 
  are used for stimulating the retina, with the eyelids open or closed. In contrast, 
  pertinent embodiments of present invention use pulsed light for the induction 
  of heat pulses in the skin, utilizing an entirely different pathway to the brain. 
  That the new field of use of pulsing light is effective for relaxation and for 
  influencing the central nervous system of a subject is unexpected and surprising. 
  
  
  The invention is not limited by the embodiments shown in the drawings and described 
  in the description, which are given by way of example and not of limitation, 
  but only in accordance with the scope of the appended claims. 
  
  REFERENCES 
  
  [1] H. G. Loos, "Method and Apparatus for Modulating Cutaneous Nerves", U.S. 
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  [2] H. G. Loos, "Magnetic Excitation of Sensory Resonances", U.S. Pat. application 
  Ser. No. 08/486918, 1995 
  
  [3] E. R. Kandel, J. H. Schwartz, and T. M. Jessel, PRINCIPLES OF NEURAL SCIENCE, 
  3TH EDITION, ELSEVIER, N.Y., 1991. 
  
  [4] Basic Stamp, PARALLAX, INC, Rocklin, Calif. 95765. 
  
  [5] H. Hensel, THERMAL SENSATIONS AND THERMORECEPTORS IN MAN, Charles C. Thomas, 
  Springfield, Ill., 1982 
  
  [6] AMERICAN INSTITUTE OF PHYSICS HANDBOOK, D. E. Gray, Ed., McGraw-Hill, N.Y., 
  1957. 
  
  [7] M. J. Lighthill, FOURIER ANALYSIS AND GENERALIZED FUNCTIONS, Chapter 5, 
  Eq. (43), Cambridge University Press, 1970. 
  
  [8] J. Van Bladel, "The Nature of Electromagnetic Stimuli", in ELECTRODYNAMIC 
  FIELDS AND NEUROBEHAVIORAL FUNCTION, Eds. M. E. O'Connor and R. H. Lovely, Allan 
  R. Liss, Inc, New York, 1988 
  
  [9] H. Sclichting, BOUNDARY-LAYER THEORY, McGraw-Hill, N.Y. 1968. 
  
 
 
 
 
 
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