Abstract
The cavity mode and carrier density in dispersive and nonlinear gain planar photonic crystal cavities are studied with the three-dimensional finite-difference time-domain method. Planar photonic crystal cavity can enhance light mater interaction, which can be used to design a photonic crystal cavity laser. With the effect of both total internal reflection and photonic band gap confinement, the frequency responses of the planar photonic crystal cavity can be obtained by simulation. The effect of carrier diffusion is calculated through the laser rate equations. The electric field intensity distribution, temporal behavior of electric field energy, and carrier density characteristics are analyzed from the resonance cavity mode.
Highlights
IntroductionThe frequency responses of the planar photonic crystal defect structure can be studied with the effect of both total internal reflection and photonic band gap confinement
Many kinds of photonic crystal (PhC) cavities have been studied [1,2,3]
The frequency responses of the planar photonic crystal defect structure can be studied with the effect of both total internal reflection and photonic band gap confinement
Summary
The frequency responses of the planar photonic crystal defect structure can be studied with the effect of both total internal reflection and photonic band gap confinement. The effects of carrier diffusion in planar photonic crystal lasers have been studied using the nonlinear dispersive finitedifference time-domain (FDTD) method with solving the Maxwell equations in dispersive and nonlinear media [4,5,6,7,8,9]. In order to study the dynamic interaction between the dispersive gain medium and electromagnetic fields in the PhC laser cavity, the dispersive nonlinear FDTD combined with auxiliary differential equations (ADE) method and the equation of carrier diffusion is applied. With the effect of both total internal reflection and photonic band gap confinement, the frequency responses of the planar photonic crystal cavity are studied. The electric field intensity, temporal behavior of electric field energy, and carrier density characteristics are directly observed from the resonance modes
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