The Classical and Quantum Dynamics of the Multispherical Nanostructures

Abstract

The Classical and Quantum Dynamics of the Multispherical Nanostructures Downloaded from www.worldscientific.com by 54.213.91.117 on 05/09/18. For personal use only. PrefaceNowadays there are various emerging possibilities to produce dielectric microspheres with sizes of about 1 micron and less. The number of theoretical and experimental works on the subjects of microspheres increases every year. The most fruitful turns out to be the idea of transition from the passive use of natural volume waves to the active management by the properties of such waves by growing the necessary structures in a surface. Creation of multilayered alternating structures (a dielectric stack) in a surface of microspheres allows one to sharply reduce radiative losses in a necessary frequency range and thus effectively control the parameters of radiation from microspheres. The opportunity of localization of quantum objects (quantum points) in a small working volume of the microsphere allows for the creation of miniature quantum devices. Effects of the thin layers are especially important when the thickness of a layer becomes about a quarter wavelength of radiation. So for wavelengths of about 600 nanometers such thickness becomes 150 nanometers, and for metallo-dielectric layers it is even less. Thus in multilayered microspheres interplay of micro-nano-scales effects occurs, which determines the unique features of the coated microsphere. It has predetermined the theme of this book. The various spherical micro and nano-structures are now heightened interest with experimenters, and theorists. The reason is that a dielectric microsphere possesses a number of unique features based mainly on an opportunity of energy conservation of optical oscillations in a very small working volume. Such microspheres possess natural modes of light oscillation at characteristic frequencies corresponding to the specific size and to the wavelength ratios. Presently only a spectrum of the optical modes having the large spherical quantum numbers (whispering gallery mode -WGM) is in use, and it is possible to observe the interesting phenomena to find the various engineering applications (see [Bishop et al., [Braginsky & Ilchenko, 1987; Braginsky et al., 1989]. However all of them still remain an object of intensive researches. As a result it was possible to lower the spatial scales up to the size when interaction of fields with various quantum subsystems becomes rather effective [Artemyev et al., 2001b and references therein]. Such phenomena are already described by quantum electrodynamics. Due to an opportunity of localization of fields in such a small volume (the radius of microspheres makes about 1−2 µm and less) it is possible to observe the nonlinear effects with very low threshold [Spillane et al., 2002 and references therein]. A variety of interesting nonlinear phenomena in micro-droplets have been reported [Braunstein et al., 1996 and references therein], and finally, the creation of the ensembles of such particles allows for the creation of struct...

The Subwavelength Optical Field Confinement in a Multilayered Microsphere with Quasiperiodic Spherical Stack

“…The transmittancy spectrum for γ = 0.618 is shown in Figure 2(b). We observe that as opposed to just a periodic λ/4 case [6,7,28], the Fibonacci stack has a fractal-like transmittancy spectrum, see Figure 2(b). Such a spectrum consists of narrow resonances separated by numerous pseudoband gaps, induced by incoherent re-reflections of optical waves from quasiperiodic layers interfaces.…”

The Electromagnetic Properties of the Generalized Cantor Stack in Spherical Multilayered Systems

“…where matrix Q ij (ω) depends on P m , G m and is written in [16]. In (4) two equations relate three variables: R, T and frequency ω.…”

“…It is worth to note that both the reflection coefficient R and the transmittance coefficient T depend also on the number of a spherical harmonic m. Below we give more attention to the dynamics of the transmittance coefficient T . The eigenfrequencies equation for a coated microsphere follows from the boundedness of fields in the microsphere center and it has a simple form R(ω) = 1 [16].…”

Narrow plasmon-polaritons resonances in metal-dielectric microspheres

“…We apply it to the case of a spherical stack with metal layers having material Drude dispersion (2), see details in Ref. [14]. The eigenfrequencies equation for a case of spherical stack was derived in Ref.…”