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

2018/01/31 by Z. E. Eremenko, Eremenko, Z. E., Yu. V. Tarasov +3
Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Photonic and Optical Devices #Photorefractive and Nonlinear Optics

paper · pdf · doi:10.48550/arxiv.1802.00505

openalex publication_date 2018/01/31 · openalex created_date 2018/02/23 · openalex updated_date 2026/07/28

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.

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