Calculation of the Transmitted Electromagnetic Field Below a Flat Interface Between Lossless Media in the Far-Field Region Using a Geometrical Optics Approach

Seil S. Sautbekov, Merey Sautbekova, Panayiotis Frangos, Basil A. Massinas, Sotiris Bourgiotis

2025

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DOI 10.3390/electronics14142821
Data confidence 70 medium
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Abstract

In this paper, we introduce a novel method for calculating the electromagnetic (EM) field below a flat interface between two lossless media when a radiating vertical Hertzian dipole (VHD) is located far from the interface. The method uses a Geometrical Optics (GOs) approach based on the concept of ‘equal optical lengths’, in the framework of which the location of the ‘virtual image’ of the original source is calculated. Using the well-known formulae for the far EM field of a vertical Hertzian dipole, the EM field at a point below the flat interface is calculated in a closed mathematical form.