Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation


Uysal A. , Akleman Yapar F.

IEEE Texas Symposium on Wireless and Microwave Circuits and Systems (WMCS), ELECTR NETWORK, 18 - 20 May 2021 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/wmcs52222.2021.9493278
  • Country: ELECTR NETWORK
  • Keywords: Hermite - Gaussian basis, series expansion, electromagnetic fields, electromagnetic wave propagation, Finite Difference Time Domain, EXPANSION

Abstract

In this paper, a half-space wave propagation problem in the vicinity of discontinuities is considered and the cross-sectional Hermite - Gaussian expansion of three dimensional electromagnetic fields at a constant range is investigated. The electromagnetic fields are calculated via a Finite-Difference Time-Domain algorithm and then Fourier transformed. Series expansion coefficients are obtained through an inner product operation with each orthonormal basis function. It is shown that fields can be successfully reconstructed with a limited number of coefficients.