Electromagnetic eigenoscillations and fields in a dielectric microsphere with multilayer spherical stack

A recursive transfer-matrix solution for a dipole radiating inside and outside a stratified sphere

“…For completeness, a different matrix formulation has recently been initiated by Burlak et al [62,63]. Some other approaches are discussed by Fuller and Mackowski [64].…”

Narrow plasmon-polaritons resonances in metal-dielectric microspheres

“…The eigenfrequencies equation for a case of spherical stack was derived in Ref. [13] (see also Ref. [15]).…”

“…We suppose the absence of singularity in the center of internal substrate r-0. One can see that such condition is satisfied if the amplitudes of forward and backward waves in the internal substrate are the same: a 0 ¼ b 0 a 0 [13]. (In this case the superposition of Hankel functions is described by the spherical Bessel function [19].)…”

“…(In this case the superposition of Hankel functions is described by the spherical Bessel function [19].) Then the reflection coefficient becomes R¼1 that allows to write the eigenfrequencies equation in closed form [13] Dðo,nðoÞÞ ¼ 0:…”

“…[13], however it allows to write down the eigenfrequencies equation in closed form. We apply the above-developed theory to calculate the reflectance, transmittance, eigenfrequencies, and eigenfields for a spherical metallo-dielectric stack.…”