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

摘要

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.