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

Descriptive Note:

Corporate Author:

SYRACUSE UNIV N Y

Personal Author(s):

Report Date:

1962-09-15

Pagination or Media Count:

1.0

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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE