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

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)

Document Details

Document Type
Technical Report
Publication Date
Sep 15, 1962
Accession Number
AD0287829

Entities

People

  • Ming-kuei Hu

Organizations

  • Syracuse University

Tags

DTIC Thesaurus Topics

  • Electromagnetic Fields
  • Electromagnetic Radiation
  • Far Field
  • Illumination
  • Mathematics
  • Polynomials

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering