Arnaud J A
Appl Opt. 1969 Sep 1;8(9):1909-17. doi: 10.1364/AO.8.001909.
A simple expression is given for the response of degenerate cavities suffering from arbitrary misalignments, and numerical results are presented. The method of resonance excitation is carried out analytically with the help of a complex ray representation of gaussian beams. It is first shown that the modulus and phase of such complex rays can be identified with, respectively, the beam radius and the phase of the on-axis field. This identification simplifies the calculation of the coupling factor between two gaussian beams, which is needed in deriving the expression for the response. For the case of conventional cavities, the results are in exact agreement with results derived from the Laguerre-Gauss or Hermite-Gauss mode theory. The case of degenerate cavities with large and possibly nonorthogonal misalignments, of interest in various nonresonant multipath systems, is also discussed.
给出了存在任意失调的简并腔响应的简单表达式，并给出了数值结果。借助高斯光束的复射线表示，对共振激发方法进行了分析。首先表明，这种复射线的模和相位可分别与光束半径和轴上场的相位对应。这种对应简化了两个高斯光束之间耦合因子的计算，而这是推导响应表达式所必需的。对于传统腔的情况，结果与从拉盖尔 - 高斯或厄米 - 高斯模式理论得出的结果完全一致。还讨论了在各种非共振多径系统中感兴趣的具有大的且可能非正交失调的简并腔的情况。
