ADE-FDTD-based Numerical Simulations for the Development of Novel Laser Devices

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This paper discusses on our resent studies on the numerical simulation of lasing dynamics in cholesteric liquid crystal as a one dimensional photonic crystal. On the basis of ADE-FDTD method, which incorporates finite-difference time-domain (FDTD) method with auxiliary differential equations (ADEs) such as rate equation in a four level energy structure and equation of motion of polarization, we have successfully reproduced circularly polarized lasing at the edge energy of the stop band. The threshold pumping rates for the lasing can be evaluated. Our computational scheme may also be quite useful as a development tool for fabricating more efficient laser cavity systems.

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