Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore.
Phys Rev Lett. 2012 Aug 10;109(6):063902. doi: 10.1103/PhysRevLett.109.063902. Epub 2012 Aug 8.
A formula for the laser linewidth of arbitrary cavities in the multimode nonlinear regime is derived from a scattering analysis of the solutions to semiclassical laser theory. The theory generalizes previous treatments of the effects of gain and openness described by the Petermann factor. The linewidth is expressed using quantities based on the nonlinear scattering matrix, which can be computed from steady-state ab initio laser theory; unlike previous treatments, no passive cavity or phenomenological parameters are involved. We find that low cavity quality factor, combined with significant dielectric dispersion, can cause substantial deviations from the Shawlow-Townes-Petermann theory.
从半经典激光理论的解的散射分析中推导出了多模非线性情况下任意腔的激光线宽公式。该理论推广了以前用 Petermann 因子描述增益和开放性影响的处理方法。线宽使用基于非线性散射矩阵的量来表示,这些量可以从稳态从头激光理论中计算出来;与以前的处理方法不同,不需要涉及无源腔或唯象参数。我们发现,低腔品质因数与显著的介电色散相结合,可能导致与 Shawlow-Townes-Petermann 理论有很大的偏差。