CREATING A SPATIAL Ø-FIELD PATTERN SLIDE 51 TRUNCATED FOURIER
EXPANSION (3D)
On this slide we show that a hemispherical dome (or other regular shape) can be composed from scalar waves by 3-dimensional Fourier expansion. By truncating the expansion -- say after 10 or 12 frequency terms -- a good representation of the desired form can be obtained with a practical number of frequencies, and in turn a practical number of transmitters. A computer is used to compute the multiplying functions for each frequency, and the entire complex of frequencies is then transmitted to produce the scalar form. By interfering two such scalar forms, a 3-dimensional shell of locked-in, ordinary EM energy is formed in space. Interference of two such scalar hemispherical surfaces creates a "glowing hemispherical shell or dome of energy." Interference of two such scalar spherical surfaces creates a "glowing spherical shell or globe of energy." Both such geometric forms have been repeatedly seen. |