Narrow transmittance peaks in a multilayered microsphere with a quasiperiodic left-handed stack

The Field Confinement, Narrow Transmission Resonances, and Green Function of a Multilayered Microsphere with Metamaterial Defects

“…where tensor G V q,nm (r, r , ω) in (21) has a form In (22), vectors M and N represent TE-and TM-waves, where the prime denotes the nanoemitter coordinates (r , θ , ϕ ), n and m are spherical and azimuthal quantum numbers, respectively, while k s is the wave number of the medium where the radiated nanoemitters are located. It is worth noting that due to the dyad r r, the δ-function in (21) contributes to the radial (longitudinal) part [43].…”

“…It was found that when the number of layers (Fibonacci order) increases, the structure of the spectrum acquires a fractal form. If the metamaterial layers (with negative refraction index) are included in such a stack then the width of the resonant peaks in the frequency spectrum becomes extremely narrow [22]. It is found the formation and coupling of defect modes in two-dimensional photonic crystal (PC) band gaps associated with degenerate edges [23].…”

The Confinement of Electromagnetic Radiation of Nanoemitters in a Multilayered Microsphere with Left-Handed Layers

“…The use of one-dimensional plane structures, including dispersiveless LH layers, allows considerable widening of the band gap of layered structures [25]. Moreover, similarly constructed spherical stack allows extremely narrow frequency resonances in a quasiperiodic structure [26] Nevertheless, up to now, the case of a radiated nanosource placed in a LH dispersive spherical stack containing both conventional and LH materials has not been studied.…”

Optical properties and Poincaré mapping in spherical multilayered systems: periodic, quasiperiodic, and disordered

“…), defining a novel description of disorder . Indeed, theoretical transfer matrix‐treatments show that these spectra are fractals .…”