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Chinese Journal of Luminescence

Normal Coupled Modes in a Symmetric One-Dimension Photonic Crystal

Ping Hu, Huang Yongzhen

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The normal-mode coupling dispersive medium in a symmetric one-dimension photonic crystals(1D PCs) was studied.The frequency shift effect,homogeneous broadening effect,and the detuning effect of the normal(coupled) modes can be well controlled by adjusting the parameters of the dispersive medium.It is found that the separation between the two transmission peaks enlarges with increasing the dimensionless coupling strength.It implies that we can modulate the frequency shift of the dispersive defect by adjusting the parameter of the dispersive medium.The broadening effect of normal coupled modes is related to the reduced oscillator HWHM linewidth.Detuning effect of dispersive layer will make one peak rapidly drop and the other relatively much higher.It can be understood by Fabry-Perot cavity analysis.

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Acta Sinica Quantum Optica•Jan 1, 2004•0 citations
The normal-mode coupling dispersive medium in a symmetric one-dimension photonic crystals(1D PCs) was studied.The frequency shift effect,homogeneous broadening effect,and the detuning effect of the normal(coupled) modes can be well controlled by adjusting the parameters of the dispersive medium.It is found that the separation between the two transmission peaks enlarges with increasing the dimensionless coupling strength.It implies that we can modulate the frequency shift of the dispersive defect by adjusting the parameter of the dispersive medium.The broadening effect of normal coupled modes is related to the reduced oscillator HWHM linewidth.Detuning effect of dispersive layer will make one peak rapidly drop and the other relatively much higher.It can be understood by Fabry-Perot cavity analysis.
The transfer matrix, which represents the dispersive medium's layer, can be rigorously obtained by using Lorentz model and considering boundary conditions. The detailed investigation on polaritons in a symmetric photonic crystal with absorptive type of dispersive medium's layer is presented by adjusting parameters of the dispersive medium's layer. It's found that the absorptive type of dispersive cavity and reinforced dispersive cavity may demonstrate similar properties in normal modes coupling, the homogeneous broadening effect, and the detuning effect. But there exists evident differences in transmitted intensity and frequency shift. Finally, the optical bistability in one-dimensional symmetric photonic crystal both with absorptive type of dispersive medium's layer and with Kerr nonlinear layer is also investigated. It's found that optical bistability threshold of the photonic crystal with dispersive medium layer is a little lower than that of structure without dispersive medium laver.
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.
We investigate superradiant lasing in 1D photonic crystal taking into account both homogeneous and inhomogeneous broadening in a two-level active medium. The latter may be based on, e.g., the quantum-well heterostructures and the fibers activated by color centers where Bragg structure can be fabricated artificially by means of a periodic modulation of the cladding layers. The truncated Maxwell-Bloch equations for the counter-propagating waves, the polarization and inversion of an inhomogeneously broadened two-level medium are used to analyze numerically the interplay between the back-scattering, amplification, dispersion, and de-phasing of waves. It is found that, if the photonic band gap is less than the coherent amplification bandwidth, there is a wide range of the pumping and relaxation parameters of a two-level medium where superradiant lasing exists and results in generation of a quasi-periodic and/or chaotic series of powerful and short pulses similar to those of Dicke superfluorescence. It is the cavity mode selection due to distributed feedback caused by the resonant Bragg structure which is responsible for the existence of superradiant lasing. Typical parameters of superradiant photonic-crystal lasers, including lengths, photonic band gaps and relaxation rates, are indicated.
The propagation of a pulse through onedimensional photonic crystals with a dispersive and gain defect layer is discussed. The dispersion and gain of the defect layer is described by Lorentz oscillator model. It is found that the pulse pea k exhibits subluminal and superluminal behaviors with varying strength of the os cillator. The Poynting vector and energy velocity can be negative, but the latte r is never faster than the vacuum light speed c. The advance or delay of the pulse peak is a result of the coherent superposition of all Fourier components which experienced different phase shift and different amplification in the medium.
The dispersion and transmission in one-dimensional photonic crystals with a defect containing three-level system with two closely placed Raman gain peaks is discussed, there is a steep curve with negative slop between the two gain peaks, two resonant transmissions with transmissivities larger than 1 are found in photonic band gap. The two resonant transmissions depends on the position of the defects and structure parameters. There is a steep curve with negative slop at the left resonant frequency and positive slop at right resonant frequency, a negative group velocity and a very slow speed is found.