Steady-state ab initio laser theory: Generalizations and analytic results
Steady-state ab initio laser theory: Generalizations and analytic results
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DOI：
10.1103/physreva.82.063824
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发表时间：
2010-12-21
影响因子：
2.9
通讯作者：
Stone, A. Douglas
中科院分区：
文献类型：
--
作者：
Ge, Li;Chong, Y. D.;Stone, A. Douglas
我们改进了Tureci等人的稳态从头计算激光理论（SALT），将其基本自洽方程表示为包含精确阈值激光模式的阈值恒流态基组。对于具有非均匀折射率和/或非均匀增益的腔，新的基组允许以更高的效率计算稳态激光特性。SALT的这个公式可以在单极近似中求解，单极近似给出了强度和阈值，包括所有阶次的非线性烧孔相互作用的影响，计算量可以忽略不计。近似产生了一些分析预测，包括一个“增益钳制”的过渡，强模态相互作用抑制所有更高的模式。我们表明，单极近似同意精确的SALT计算，特别是高Q腔。在这个有效性范围内，它提供了一个非常有效的技术建模现实和复杂的激光。
We improve the steady-state ab initio laser theory (SALT) of Tureci et al. by expressing its fundamental self-consistent equation in a basis set of threshold constant flux states that contains the exact threshold lasing mode. For cavities with nonuniform index and/or nonuniform gain, the new basis set allows the steady-state lasing properties to be computed with much greater efficiency. This formulation of the SALT can be solved in the single-pole approximation, which gives the intensities and thresholds, including the effects of nonlinear hole-burning interactions to all orders, with negligible computational effort. The approximation yields a number of analytic predictions, including a "gain-clamping" transition at which strong modal interactions suppress all higher modes. We show that the single-pole approximation agrees well with exact SALT calculations, particularly for high-Q cavities. Within this range of validity, it provides an extraordinarily efficient technique for modeling realistic and complex lasers.