Calculation of the Transmitted Electromagnetic Field Below a Flat Interface Between Lossless Media in the Far-Field Region Using a Geometrical Optics Approach
Sautbekov S. Sautbekova M. Frangos P. Massinas B. Bourgiotis S.
July 2025Multidisciplinary Digital Publishing Institute (MDPI)
Electronics (Switzerland)
2025#14Issue 14
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.
EM field calculation below the flat interface , far-field region , flat interface between lossless media , geometrical optics , optical Lengths , vertical Hertzian dipole
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Department of Physics and Technology, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
School of Applied Mathematics, Kazakh-British Technical University, Almaty, 050005, Kazakhstan
School of Electrical and Computer Engineering, National Technical University of Athens (NTUA), Athens, 157 73, Greece
Department of Physics and Technology
School of Applied Mathematics
School of Electrical and Computer Engineering
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