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Journal of the Optical Society of America B

Bistable behavior of reflection and transmission of a one-dimensional photonic crystal with a dense resonant medium as a defect

Denis V. Novitsky, S. Yu. Mikhnevich

Published Jul 25, 2008• 15 citations
Publisher

Abstract

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.

DOI
10.1364/josab.25.001362

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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.
Optical characteristics of a system consisting of a photonic crystal with a defect layer of a dense resonant medium described by the modified Bloch equation are considered. Transmission spectra are calculated and regions of existence of bistable optical response of the system are found. It is shown that the effect of internal reflection demonstrated by the dense resonant medium results in variation of reflection and transmission spectra of the photonic crystal and the loop width of the bistable response of the dense resonant medium is determined by the structure of the photonic crystal.
We study the optical bistable properties in one-dimensional photonic crystal with symmetric structure (AB)N(D)M(BA)N, where A is high refractive index medium, B is low refractive index medium, D is defect layer, N is the number of layer periods at the left and right of the defect layer. M determines the thickness of the defect layer with Kerr medium. First, we analyze mechanisms producing bistability by the structure consisted of a nonlinear layer sandwiched between Bragg reflectors. Then by using the transfer matrix method, we calculate numerically the threshold value of the bistability switching in one-dimensional photonic crystals with structure (AB)N(D)M(BA)N. The investigations show that the number of layer periods (N) and the thickness of the defect layer (M) influence the threshold value of the bistability switching. We confirm the parameter of the bistability switching to produce the lower threshold value.
It is studied the defect mode and bistability properties of a nonlinear medium sandwiched between Bragg reflectors composed of one-dimensional photonic crystal by numerical calculation and theoretical analysis.The influence of defect layer thickness and quasi-periodic Bragg reflectors on defect mode and bistability is discussed.It is revealed that the defect mode shift to lower frequency when the increasing thickness of defect layer or refractive index of Bragg reflectors.Hence microcavity resonant mode is superposition with incident wave mode at lower incident intensity,and produce the bistability with lower threshold.The numerical calculation results accord with theoretical analysis.It is significant for design of photonic crystal microcavity.
The optical transfer matrix theory is used to research the transmission characteristics of an one-dimensional photonic crystal.If the defect layer is nonlinear medium which is saturatedly absorbed,the optical bistable properties are studied based on the sensitivity change of incident light transmittivity of nonlinear medium.And the analytical formula related to the input-output of the light intensity is deduced.When the saturated absorption is above a certain value,the optical bistablity will appear in the system.Finally the change law of the incident light threshold value of the optical bistablity is studied.
Optical properties of n-i-p-i superlattices embedded into a band-gap material are studied. Transmission and reflection spectra at the near infra-red range and the light intensity distribution inside the structure are investigated. Self-consistent calculations of the transmission and reflection spectra have been performed using the transfer-matrix method and with taking into account the gain saturation. Bistability effects which can be exhibited in photonic crystal heterostructure amplifiers are predicted.
We consider a boundary value problem of reflection of a powerful light wave from a dense resonant medium that exhibits intrinsic optical bistability because of the dipole–dipole interaction of two-level atoms. On the basis of analytical solutions and numerical simulations we establish that intrinsic optical bistability results in the dependence of the reflection coefficient on the adiabatically varying intensity of an external field. The reflection coefficient is an oscillating function of the intensity because of the additional reflectivity that is due to a light-induced sharp discontinuity in the nonlinear permittivity of a dense resonant medium.