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chapter_1<br />

estimate of a, the semi-focal distance of the defining ellipsoid.<br />

Using E0 and a, together with known values of the conductivity and<br />

di-electric constants of brain tissue, those wavelengths are found for<br />

which the radial component of the electric field satisfies the<br />

boundary condition that it is zero at E0.<br />

These wavelengths are the wavelenghts associated wi ith the<br />

standing waves or modes. The corresponding frequencies are found<br />

by dividing the phase velocity of microwaves in brain tissue by<br />

each of the wavelengths A subject’s microwave modal frequencies<br />

may also be determined by observing the effect of external<br />

microwave radiation upon the EEG. The frequency of the M equal I<br />

mode may then be used as a base point to estimate all other modal<br />

frequencies.<br />

A typical example of such an estimation is where the subject is<br />

laterally irradiated with a monochromatic microwave field<br />

simultaneous with EEG measurement and the microwave frequency<br />

altered until a significant change occurs in the EEG, the lowest such<br />

frequency causing a significant EEG change is found. This is<br />

iden-tified as the frequency of the M= 1 mode, the lowest mode of<br />

importance in auditory perception. The purely anatomical<br />

estimation procedure (FIGS. 8, 9, 10) is then performed and the<br />

ratio of each modal frequency to the M 1 modal frequency<br />

obtained. These ratios together with the experimentally-determined<br />

M - I frequency are then used to estimate the frequencies of the<br />

mode numbers higher than 1. The prolate spheroidal coordinate<br />

system is shown in FIG. 9. Along the lateral plane containing the x<br />

and y coordinates of FIG. 9. the prolate spheroidal coordinate<br />

variable 4 (angle) lies FIGS. 9 and 10. Plots of the transverse<br />

electric field amplitude versus primary mode number m are shown<br />

in FIG. 11.<br />

The equation is<br />

http://mercury.spaceports.com/~persewen/fritz/fritz-ch6-3.html (2 of 10) [7/15/2000 8:01:19 PM]

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