Deterministic model for rf hot spots location and probability within empty rectangular structures

Abstract

This paper introduces a theoretical model for determining the number of hot spots (high intensity electric fields) and their locations within an enclosed empty rectangular space that acts as a waveguide for electromagnetic waves in the radio frequency range of the spectrum. The model combines ray and geometrical optics for wave direction and interference patterns after multiple reflections have taken place within the guide. The location of the hot zones and hot spots due to intersecting rays are determined using trigonometry and vector analysis. Once these locations are identified, the varying and non-varying patterns of the waves are contained in fixed triangular areas occurring on both sides of the waveguide. Within these fixed triangles (zones) lie the high probabilities of hot spots and dead spots for electromagnetic propagation, both of which have their importance in health and safety and communication. The probability of hot spots is calculated for each hot zone.