Accession Number : AD0287829

Title :   APPLICATION OF MODIFIED ZERNIKE POLYNOMIALS TO THE ANALYSIS OF FRESNEL REGION FIELDS OF CIRCULAR APERTURES WITH NON-UNIFORM AND NON-SYMMETRIC ILLUMINATION

Corporate Author : SYRACUSE UNIV N Y

Personal Author(s) : HU,MING-KUEI

Report Date : 15 SEP 1962

Pagination or Media Count : 1

Abstract : A modified form of Zernike polynomals and a set of generalized functions are introduced. These polynomials and functions are applied to the analysis of the Fresnel-region field of circulr apertures with non-uniform and non-symmetric illumination. With m = 0, the general result reduces to that for non-uniform but circularly symmetric illumination obtained previously. a general expression for the far field (Fraunhofer field) of circular apertures with general illumination is aso derived. Finally, a simple example is given as an ilustration. (Author)

Descriptors :   *ANTENNAS, *ELECTRIC FIELDS, *ILLUMINATION, *MICROWAVES, *POLYNOMIALS, CONICAL ANTENNAS, DIFFRACTION, FUNCTIONS(MATHEMATICS), INTEGRALS, PARTIAL DIFFERENTIAL EQUATIONS, POLARIZATION, TAYLOR'S SERIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE