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Acta Physica Sinica

Optical properties of a two-dimensional array of absorptive and dispersive medium under near-resonant excitation

Zhiyu Li, Zhou Jian-Ying, 中山大学光电材料与技术国家重点实验室，广州 510275

Published Jan 1, 2006• 0 citations
Publisher

Abstract

A two_dimensional array of resonant absorptive and dispersive medium is proposed. The transmission,reflection and absorption spectra of optical field transmitting in the structure are calculated. The photonic band gap caused by resonance(PBG), similar as the case of one_dimensional active photonic crystal, is observed. It’s found that the resonance between the border of the Brillouin zone and the resonant center of the atom in the array is the key condition for the formation of the PBG. Further discussion is carried on the study of the dependence of transmission spectrum on the structure,the resonant center and the absorption linewidth of the atoms in the array.

DOI
10.7498/aps.55.677

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A two_dimensional array of resonant absorptive and dispersive medium is proposed. The transmission,reflection and absorption spectra of optical field transmitting in the structure are calculated. The photonic band gap caused by resonance(PBG), similar as the case of one_dimensional active photonic crystal, is observed. It’s found that the resonance between the border of the Brillouin zone and the resonant center of the atom in the array is the key condition for the formation of the PBG. Further discussion is carried on the study of the dependence of transmission spectrum on the structure,the resonant center and the absorption linewidth of the atoms in the array.
The transmission spectrum of the 1D photonic crystal with dispersive cavity is studied in this paper.The dispersive medium is described by the Lorentz oscillator model,and the frequency of the cavity mode is set at the center of the gap.When the absorption is negligible,the density of states near the cavity mode is very high,and there is a comparatively wider transmitted band appearing in the transmission spectrum.When absorption is included,the transmission at the central frequency disappears,but the transmission still exists near the tail of the transmission band.
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.
We consider the optical response of a one-dimensional photonic crystal with a dense resonant medium as a defect. Using the iteration matrix approach, we calculate the intensity distribution in this structure and the reflection and transmission properties of it. We discuss the influence of photonic crystal on the bistable behavior of a dense resonant medium both within and outside the region of intrinsic optical bistability. Finally we compare our results with the case without taking into account near dipole-dipole interaction.
The subject of the review is the diffraction of an electromagnetic wave on a periodic condensed matter where the Bragg condition is satisfied at the frequency of resonance excited in this medium. The Bragg systems known as resonant photonic crystals in general have been considered, and the propagation, reflection, transmission, and diffraction of electromagnetic radiation in different objects—(I) periodic quantum-well structures near the exciton resonance, (II) optical lattices of atoms cooled in a laser field, and (III) bulk crystals and multilayers with gamma-ray resonance intranuclear transitions—have been described in a unified context. The main attention has been paid to the steady-state linear diffraction, including resonant reflection and transmission, which is the best studied and allows a comparison of the three aforementioned systems with the aim of revealing specific characteristics and common features. A characteristic common property of the considered systems is the suppression of non-radiative channels and an inhomogeneous broadening of the resonance frequency. The second fundamental property of resonant photonic crystals is that the interaction of light with resonant excitation can occur in two regimes depending on the thickness of the sample. In the superradiant regime realized for a small number of resonant layers N (fine structures), the height of the peak and half-width of the reflection spectrum monotonically increase with increasing value of N. With a further increase in N, there occurs a transition to a photonic-crystal regime where the half-width of the reflection spectrum is saturated, which manifests itself in the form of an optical stop band. The theoretical description is illustrated by experimental spectra measured for all three resonant Bragg systems.
If the electromagnetic waves are scattered by the periodic structure of media with different refractive indexes, a band gap in the transmitted spectrum can be generated. This is the photonic crystal whose band gap is usually uncontrollable as its structure parameters are fixed after the fabrication. Alternatively, based on the quantum theory in real space for single photons transporting along a one-dimensional waveguide embed by a series of two-level atoms, we propose here a quantum mechanical configuration to implement the photonic crystal with adjustable band gap. It is shown that if the scattering two-level atoms are arranged as a periodic array, the desirable band gap in the photonic transmission spectrum can be formed. This is the atomic-type photonic crystal, in which the center frequency of the gap can be controlled by adjusting the eigenfrequencies of the atoms. The possible physical implementations of our proposal with the voltage-biased superconducting qubits for the centimeter waves and the voltage-biased electrons on liquid helium for the millimeter waves are also discussed.