Optical Phenomena in Dielectric Spheres Several Light Wavelengths in Size: A Review

Abstract

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Optical Super‐Resonances in Mesoscale Dielectric Cenosphere: Giant Magnetic Field Generations

“…The spatial field configuration inside a sphere under SR conditions, which are clear seen from Figure 2, are similar to the spatial field configuration inside a sphere with other Mie size parameter and refractive index. [ 29,30,38–40 ] Notable, only 2 maxima at the poles of a homogeneous sphere has magnitude ≈4–5 order higher than others. [ 30 ] According to the Mie theory, this corresponds to a significant predominance of a single term in the series of internal scattering coefficients, which is responsible for the excited resonant mode.…”

“…A detailed analysis of the features of the formation of superresonance in a homogeneous sphere was carried out earlier in the works. [ 29,30,38–40 ]…”

“…[ 30 ] For example, for materials with extremely high refractive index ( n > 10) and small Mie size parameter ( q < 1), SR resonances with giant enhancement of magnetic fields can be observed in the range of the first Fano resonances in microwave. [ 40 ]…”

“…The detailed analysis of the amplitudes of the Mie scattering coefficients ( c l , d l ) carried out earlier for homogeneous spheres shows the strong scattering of a high‐order single mode in the internal electric or magnetic field of a particle to be a key factor responsible for the superresonance effect. [ 29,30,38–40,42 ] In the content of the SR, we are interested in the Mie coefficients associated with the internal scattering of fields in the field component equations, which can be written as: [ 30,38,50–52 ] $$$$\begin{equation}{}^e{A}_l = {i}^{l + 1}\frac{{2l + 1}}{{l(l + 1)}}{c}_{l,}\;m({A}_l) = {i}^{(l + 1)}\frac{{(2l + 1)}}{{(l(l + 1))}}{d}_l,\end{equation}$$$$where …”

The Poynting vector field generic singularities in resonant scattering of plane linearly polarized electromagnetic waves by subwavelength particles

“…Numerous research papers, reviews, book chapters, and monographs present results in this subfield of optics; see, for example, Refs. [1][2][3][4][5][6][7] In addition to the purely academic interest, the structure of the electromagnetic field in the immediate vicinity of a nanoparticle irradiated by a laser beam is of utmost importance for various problems of high-resolution spectroscopy, nanomaterial science, nanotechnologies, etc. ; see, e.g., [8][9][10][11] and references therein.…”