Surface electric fields and spatial derivatives of Green's function of layered media based on half-space extraction

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)247-253
Journal / PublicationMicrowave and Optical Technology Letters
Volume24
Issue number4
Publication statusPublished - 20 Feb 2000

Abstract

We consider the case when both source and field points are located on the same interface separating two different dielectric media. The electric fields and spatial derivatives of an electric-field Green's function in the spatial domain are calculated numerically without using potentials. For the electric field and its spatial derivatives, the integrand of the Sommerfeld integral grows with kρ for large kρ. For the fourth derivative, the integrand grows as the kρ11/2 power. To evaluate the integrals, we use a half-space extraction technique. After the half-space extraction, the integrand of the Sommerfeld integral of layered media decays exponentially, and the integral is calculated along the Sommerfeld integration path. The half-space extraction part is calculated by numerical integration along the vertical branch cuts. Numerical results of the surface electric fields and spatial derivatives up to the fourth order for multilayered media are illustrated for distances from 0.02 to 20 free-space wavelengths. Results are illustrated for various layer thicknesses.

Citation Format(s)

Surface electric fields and spatial derivatives of Green's function of layered media based on half-space extraction. / Tsang, Leung; Huang, Chung-Chi; Chan, Chi H.

In: Microwave and Optical Technology Letters, Vol. 24, No. 4, 20.02.2000, p. 247-253.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review