Thermal radiation in quasiperiodic photonic crystals with negative refractive index

Abstract

In this work we investigated the thermal power spectrum of the electromagnetic radiation through one-dimensional stacks of alternating negative and positive refractive index layers, arranged as truncated quasiperiodic photonic structures obeying the Fibonacci (FB), Thue–Morse (TM), and double-period (DP) sequences. The thermal radiation power spectra are determined by means of a theoretical model based on a transfer matrix formalism for both normal and oblique incidence geometries, together with Kirchoff’s second law. We studied the radiation spectra by considering the case where both refractive indices of layers A and B are assumed to be a constant, as well as a more realistic case which takes into account the frequency-dependent electric permittivity ϵ and magnetic permeability μ to characterize the negative refractive index n in layer B.

Optical resonances in multilayer structures

“…There is a shift toward higher frequencies in spectral emittance for phase compensated situation in for larger angles. The same feature can be observed both in periodic and in quasi-periodic spectra [118]. pairs number for dispersionless NIM-containing multilayers with absorptive substrate for the case of normal incidence.…”

“…Thin film technology has been a sound foundation for this task. The possibilities offered by periodic all-dielectric or metal-dielectric PBG media [13] may be expanded by the introduction of negative index metamaterials (NIM) [116,117,118]. The advances in the technology of nanostructured materials heralded NIMs for the optical range, see [13] and references therein.…”

“…Indeed, the investigation of multilayers consisting of alternating dielectric (positive index material, PIM) and NIM layers showed novel properties convenient for emittance/absorptance tailoring [116,117,118]. For instance, widening and flattening of the spectral emittance was demonstrated, while at the same time the angular dependence was much weaker [116].…”

“…For instance, widening and flattening of the spectral emittance was demonstrated, while at the same time the angular dependence was much weaker [116]. Further possibilities for emittance/absorptance tailoring are introduced by utilizing NIMs-containing pre-fractal [117] and quasi-periodic multilayers [119,118]. Excellent selectivity and directionality properties were observed in these structures, when considered as thermal radiation antennas [117,118,120].…”

“…Further possibilities for emittance/absorptance tailoring are introduced by utilizing NIMs-containing pre-fractal [117] and quasi-periodic multilayers [119,118]. Excellent selectivity and directionality properties were observed in these structures, when considered as thermal radiation antennas [117,118,120]. Figure 2 shows a general passive NIM-containing multilayer filter for thermal radiation control.…”