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Optics Letters

Wideband switchable unidirectional transmission in a photonic crystal with a periodically nonuniform pupil

Andriy E. Serebryannikov, Akhlesh Lakhtakia

Published Aug 19, 2013• 10 citations
Publisher

Abstract

Wideband switchable diode-like transmission can be exhibited by an asymmetric dielectric photonic crystal, when the host medium is changed from air to a coherent atomic gas (CAG), a strongly dispersive medium. Significant modification of diffraction-enabled one-way transmission due to the CAG is possible in both frequency and incidence-angle domains in the short-wave infrared regime. In particular, new one-way and high-contrast passbands, which are as much as 1.0 THz in bandwidth, can appear at fixed incidence angle within a stop band of the CAG-free structure and tuned by varying the oscillator strength of the CAG. These passbands correspond to relatively small, either positive or negative, values of the dielectric susceptibility of the CAG.

DOI
10.1364/ol.38.003279

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Wideband switchable diode-like transmission can be exhibited by an asymmetric dielectric photonic crystal, when the host medium is changed from air to a coherent atomic gas (CAG), a strongly dispersive medium. Significant modification of diffraction-enabled one-way transmission due to the CAG is possible in both frequency and incidence-angle domains in the short-wave infrared regime. In particular, new one-way and high-contrast passbands, which are as much as 1.0 THz in bandwidth, can appear at fixed incidence angle within a stop band of the CAG-free structure and tuned by varying the oscillator strength of the CAG. These passbands correspond to relatively small, either positive or negative, values of the dielectric susceptibility of the CAG.
Abstract Asymmetry in a regular dielectric photonic crystal of finite thickness created by periodically altering one of its two pupils results in the exhibition of diode‐like passbands that can be switched on/off by injecting/removing a coherent atomic gas.The diode‐like operation is accompanied by diffraction‐enabled deflection of the transmitted wave, within a stop band of the gas‐free structure. Alteration of the oscillator strength can be used to engineer the passband characteristics. © 2013 Wiley Periodicals, Inc. Microwave Opt Technol Lett 55:1248–1250, 2013; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.27562
We studied the specular and nonspecular remittances and the absorptance of two-dimensional photonic crystals (PCs) comprising a periodic array of dielectric rods immersed in a coherent atomic gas (CAG). Illumination by obliquely incident, s-polarized plane waves was considered. Minipassbands that may include peaks of nearly complete transmission appear within the stop bands of the corresponding gas-free PCs, due to the strong frequency dispersion in the relative permittivity of the CAG. As a result, high-efficiency passbands of a gas-free PC and those arising due to the CAG can coexist. The latter can be tuned in a simpler way than by varying the constitutive parameters of the CAG, i.e., via variation of the incidence angle. In contrast with the earlier studied metallic PCs immersed in a CAG, new passbands may also appear when the CAG behaves as a medium with ultralow positive permittivity. Also, complete absorptance bands (with zero overall reflectance and overall transmittance) can be obtained, which are well correlated with the frequency-dependent characteristics of the CAG.
The crystal under consideration is a layered structure consisting of alternating layers of two materials, one of which is a resonantly absorbing gas. It is shown that the combination of the dispersion of an atomic gas with the dispersion of a photonic-bandgap structures allows one to efficiently control the transmission spectra of s - and p -polarized modes in these combined systems. It is found that the spectrum is highly sensitive to the position of the gas resonance frequency with respect to the bandgap edge and to a change in the gas pressure. The transmission, reflection, and absorption spectra of the resonant photonic crystal are studied at an angle of incidence equal to the Brewster angle of a seed photonic crystal. Possible applications of the found particular features of the dispersion of resonant photonic crystals are discussed.
The transmission spectra of two-dimensional resonant photonic crystals of two types have been investigated. Crystals of one type consist of dielectric cylinders forming a square lattice filled by a resonant gas with mercury atoms, and crystals of the other type consist of cylindrical holes filled with a gas and forming a square lattice in a dielectric matrix. It has been established that characteristics of the spectrum of additional transmission arising in the band gap of the photonic crystal can be changed significantly by varying the gas pressure and the angle of incidence. It has been demonstrated that the calculated features in the transmission spectrum of the photonic crystal are stable with respect to a significant increase in the width of the atomic resonance.
Cold atoms trapped in one-dimensional optical lattices and driven to the four-level N configuration are exploited for achieving an electromagnetically induced grating with parity-time-symmetry. This nontrivial grating exhibits unidirectional diffraction patterns, e.g., with incident probe photons diffracted into either negative or positive angles, depending on the sign relation between spatially modulated absorption and dispersion coefficients. Such asymmetric light diffraction is a result of the out-of-phase interplay of amplitude and phase modulations of transmission function and can be easily tuned via optical depth, probe detuning, pump Rabi frequencies, etc.
Introduction The propagation of light in periodically ordered photonic crystals bears a strong analogy to the wave propagation of conduction electrons in atomic crystals. The development of Bloch modes and dispersion are determined by the interference of waves that are diffracted by lattice planes [19, 52]. The periodicity commensurate with the wavelength (a ≈ λ/2) gives rise to Bragg diffraction that is associated with frequency windows for which waves are forbidden to propagate in a particular direction. Such stop gaps have long been known to arise for electromagnetic waves, notably for X-rays in atomic crystals [214]. At optical frequencies, the stop gaps that occur in one-dimensional periodic structures, known as Bragg stacks, are widely used in optical laboratories as broadband highly reflecting dielectric mirrors [556]. The distinguishing feature of three-dimensional (3D) photonic crystals is that a common stop gap can be achieved for all directions and for all polarizations simultaneously: the widely pursued 3D photonic band gap . Historically a 3D band gap has never been considered for the propagation of X-rays in periodic media, since a gap requires a high refractive index contrast of order unity, whereas the refractive index varies by less then 10 −4 in the X-ray range. At frequencies inside the 3D photonic band gap, the density of optical states (DOS) completely vanishes. As the density of states can also be interpreted as the density of vacuum fluctuations [334], a 3D band gap thus serves as an effective shield to these fluctuations. The total absence of optical modes in a photonic band gap has implications beyond classical optics that break the analogy between the behavior of light in photonic crystals and the behavior of electrons in atomic crystals. 3D photonic band gap crystals play an important role in cavity quantum electrodynamics (cQED) [64, 549], where they offer at least five prospects for new physics. Firstly, probably the most eagerly pursued phenomenon is the complete inhibition of spontaneous emission: an excited quantum emitter – such as an atom, molecule, or quantum dot – embedded in a crystal with its transition frequency tuned to within the 3D band gap remains forever excited since it cannot decay to the ground state by emitting a photon.