On an Improved T-Matrix Approach to Study the Scalar Scattering Response of Doubly Periodic Surfaces,

Abstract

In investigating the scattering response of a periodic surface, the use of incomplete or inappropriate basis functions for representing the field(s) induced on the scattering surface has given rise to what is now called the Rayleigh Hypothesis (RH). Here the authors use normalized Fourier bases for this purpose and develop a T-matrix which completely characterizes the scalar scattering response of such a surface. The Rayleigh limits are effectively bypassed, and the obtained solutions are seen to obey unitarity as well as reciprocity constraints. They also show that the measurement of the scattered field can lead to two different interpretations of the nature of the scattering surface in inverse shape problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADP004933

Entities

People

  • A. Lakhtakia
  • V. K. Varadan
  • V. V. Varadan

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Mathematics
  • Scattering

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Theoretical Analysis.