Design of sharp transmission filters using band-edge resonances in one-dimensional photonic crystal hetero-structures

Applied Physics B (Impact Factor: 1.86). 09/2009; 96(4):709-713. DOI: 10.1007/s00340-009-3662-1


This paper presents a design of sharp transmission filters using band edge resonance effects in a hetero-structure composed of one-dimensional photonic crystals with different periods. Assuming that the photonic crystals are made of identical pairs of transparent materials, the band-edge resonance occurs when the periods are distributed in a geometrical progression with a common ratio, r=r
, where r
is a known function of refractive-index modulation, incident angle and the polarization of light. The band-edge resonance results in sharp resonant peaks in the transmission spectrum, with the full width at half maximum of the peaks increasing with an increase in the number of unit cells in each photonic crystal. Furthermore, if M photonic crystals are used to construct the hetero-structure, M−1 resonant peaks with the spacing between kth (1<k<M) and (k−1)th peaks equal to the band gap of the kth photonic crystal form in the transmission spectrum.

8 Reads
  • [Show abstract] [Hide abstract]
    ABSTRACT: We investigate the properties of electromagnetic wave propagating in a one-dimensional photonic crystal (PC) consisting of two metamaterials with different dispersive model. The reflection gaps of metamaterials multilayer system are independent of the incident angle. Not only TE wave but also TM wave, the omnidirectional reflection gaps exhibit the same behavior with different incident angle for metamaterials as double negative material. We also observed that the frequency regimes of zero-transmission bands are different for TE and TM wave with the same incident angle, when one of metamaterials is the permittivity negative (ε < 0) and the other is the double negative. Correspondingly, we show that the result can be act as an efficient polarization splitter. At last, we discuss the resonant tunneling effect. If the total reflection condition is satisfied, the resonant tunneling effect is enhanced as the incident angle increases, even though the propagation wave is evanescent wave in the single layer medium.
    No preview · Article · Feb 2012 · The European Physical Journal D
  • [Show abstract] [Hide abstract]
    ABSTRACT: We propose the one-dimensional photonic crystal quantum well structure composed of two negative metamaterials, the features of which are investigated with scattering matrix method. With this method, the transmittance, reflectance and dispersion relation of electromagnetic wave propagation in photonic crystal are obtained. Moreover, the photonic band structure is given by dispersion relation. For photonic crystal parallel wells the sandwich structure (MpNqMp) and four PCs structure (MpNqMpNq), the resonant modes exist in the photonic band gaps. The number of resonant modes is varied by changing the period number of the constituent photonic crystals. Meanwhile, the resonant modes is not sensitive to the incident angle increasing, only shift slowly to lower frequency region. Moreover, the resonant modes can be act as multiple ultra-narrow bandwidth filters.
    No preview · Article · Sep 2013
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we investigate by theoretical analysis a way to enlarge the frequency range of band gap in one-dimensional heterostructure photonic crystal (PC) made of two PCs alternate stacked by conventional and double negative index material. The numerical results by scattering matrix method (SMM) show that, for the proposed PC with appropriate parameters, there is an omnidirectional photonic band gap (OBG), which is insensitive to incident angle and polarization. The thickness ratio of layers in the second PC is the inverse and identical of that in the first PC, respectively. Two PCs form the PC heterostructures. Moreover, we demonstrate the existence of OBG and notable enlargement of the frequency range of the OBG in proposed PC heterostructure. The reason is that the pass band of one of the two PCs falls into the forbidden band of another PC. Decreasing the thickness of layers but not changing the thickness ratio of layers in the second PC, the frequency range of OBG keeps invariant. However, with the increasing of thickness of layers, the frequency range of OBG gets narrow.
    No preview · Article · Nov 2013 · The European Physical Journal D
Show more