Morphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions
Open Access
- 7 October 2021
- journal article
- research article
- Published by MDPI AG in Applied Mechanics
- Vol. 2 (4), 781-796
- https://doi.org/10.3390/applmech2040045
Abstract
In many applications constant or piecewise constant refractive index profiles are used to study the scattering of plane electromagnetic waves by a spherical object. When the structured media has variable refractive indices, this is more of a challenge. In this paper, we investigate the morphology dependent resonances for the scattering of electromagnetic waves from two concentric spheres when the outer shell has a variable refractive index. The resonance analysis is applied to the general solutions of the radial Debye potential for both transverse magnetic and transverse electric modes. Finally, the analytic conditions to determine the resonance locations for this system are derived in the closed form of both modes. Our numerical results are provided with discussion.Keywords
This publication has 33 references indexed in Scilit:
- Superconductivity-Induced Macroscopic Resonant TunnelingPhysical Review Letters, 2008
- Unified treatment of bound, scattering, and resonant states in one-dimensional semiconductor nanostructuresPhysical Review B, 2003
- Propagation speed of evanescent modesPhysical Review E, 2000
- Structural resonances in a coated sphere: investigation of the volume-averaged source function and resonance positionsApplied Optics, 1994
- Theory of morphology-dependent resonances: shape resonances and width formulasJournal of the Optical Society of America A, 1993
- Interference enhancement of the internal fields at structural scattering resonances of a coated sphereApplied Optics, 1990
- Internal and near-surface scattered field of a spherical particle at resonant conditionsApplied Optics, 1985
- Exact solutions for fields of electric type in spherically stratified isotropic mediaMathematical Proceedings of the Cambridge Philosophical Society, 1969
- Exact solutions for electromagnetic wave propagation in spherically stratified isotropic mediaMathematical Proceedings of the Cambridge Philosophical Society, 1968
- Refractive index profiles based on the hypergeometric equation and the confluent hypergeometric equationMathematical Proceedings of the Cambridge Philosophical Society, 1965