Maxwell-Bloch equations for spatially inhomogeneous semiconductor lasers. I. Theoretical formulation.
Maxwell-Bloch equations for spatially inhomogeneous semiconductor lasers. I. Theoretical formulation.
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空间非均匀半导体激光器的麦克斯韦-布洛赫方程。
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Kuhn
中科院分区：
文献类型：
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作者：
Hess;Kuhn
推导了描述空间非均匀半导体激光器时空动力学的空间相关Maxwell-Bloch方程。载流子的动力学描述的密度矩阵的方法，使用维格纳函数表示。在此基础上，导出了有源介质与空间相关光场的耦合运动方程组。基于典型的长度和时间尺度，进行近似，以获得一个数值上易于处理的问题。多体相互作用产生了与空间相关的能量重整化、库仑增强和散射过程。后者被认为是在动量和密度依赖的微观弛豫率的形式，由于载流子-载流子和载流子-声子相互作用的载流子分布函数和极化。对于空间输运或载流子的双极扩散模型推导。\textcopyright{} 1996美国物理学会。
Space-dependent Maxwell-Bloch equations are derived for the description of spatiotemporal dynamics of spatially inhomogeneous semiconductor lasers. The dynamics of the charge carriers is described in a density-matrix approach using a Wigner function representation. On this basis, the coupled set of equations of motion for the active medium and the space-dependent light field is derived. Based on typical length and time scales, approximations are performed to obtain a numerically tractable problem. The many-body interactions give rise to space-dependent energy renormalizations, Coulomb enhancement, and scattering processes. The latter ones are considered in the form of momentum- and density-dependent microscopic relaxation rates due to carrier-carrier and carrier-phonon interaction for the carrier distribution functions and the polarization. For the spatial transport or the carriers an ambipolar diffusion model is derived. \textcopyright{} 1996 The American Physical Society.