The spectrum of non-centrosymmetrically layered spherical cavity resonator. I.The mode decomposition method

TL;DR

This paper introduces a theoretical method to analyze the frequency spectra of layered spherical cavity resonators with asymmetric dielectric insertions, showing good agreement with numerical results for initial frequency ranges.

Contribution

The paper presents a novel mode decomposition method for solving Maxwell's equations in inhomogeneous, asymmetric spherical cavities, extending analysis capabilities.

Findings

Good agreement between theoretical and numerical spectra at initial frequencies.

Accuracy improves with more trial resonant modes.

Method effectively handles asymmetrical layered spherical cavities.

Abstract

We develop a theoretical method for solving Maxwell's equations to obtain the frequency spectra of inhomogeneous and asymmetric cavity resonators using a couple of effective Debye-type potentials. The structure we study specifically is the layered spherical cavity resonator with symmetrically or asymmetrically inserted inner dielectric sphere. The comparison of the exact numerical results obtained for the frequency spectrum of layered cavity resonator with centrosymmetrically inserted sphere and the spectrum found from the suggested theory reveals good agreement at the initial part of the frequency axis. The coincidence accuracy depends on the number of trial resonant modes that we use while approving our method numerically.