Electromagnetic oscillations in a 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].…”

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 case of the compound structure, when the dielectric sphere is coated by an alternative stack, is much richer. The Q-factor of optical oscillations has a large value in the frequency regions of weak transmittancy, and beyond these regions Q remains small [5][6][7][8]. This gives rise to a large variety of optical properties of microspheres, coated with a multilayer stack.…”

Narrow plasmon-polaritons resonances in metal-dielectric microspheres

“…The method of calculation is based on the transfer matrix approach is well-known for a plane case [3,10]. It was generalized for a case of the multilayered spherical stack in [10,12]. We apply it to the case of a spherical stack with metal layers having material Drude dispersion (2), see details in Ref.…”

“…The Q-factor (quality) of such oscillations strongly depends on the properties of the stack. Q becomes large in the areas of high reflectivity and beyond of these zones Q remains small [6,7,12]. The combination of such factors causes the large variety of optical properties of microspheres with a multilayered stack.…”