An Investigation of Resonant Modes in Rectangular Dielectric Resonator Antenna Using Transcendental Equation

This article presents an analysis of resonant modes in a rectangular dielectric resonator antenna and investigates the generation of higher order modes. Mathematical analysis of resonant frequency and transcendental equation using MATLAB has been performed. A prototype model for rectangular DRA has been developed. Resonant frequency of higher modes based on delta (δ) variation (where delta = 0.1–0.9) on Eigen vector has been investigated. The paper demonstrates that the design of a compact size dielectric resonator antenna (DRA) covering wide range of frequency with multiple modes is possible by selecting the value of p less than 1 (p < 1), where p is number of half-wave variations in the z-direction of TEmnp modes. An orthogonal feed has been used to cancel out the undesired modes. Simulations and experimental measurements were carried out to verify the proposed idea. Theoretical, simulated, and experimental results of resonant frequency and gain of the antenna have been compared and are found to be in agreement with each other. The results presented should have useful potential applications in wireless communication systems and satellite applications.