Santana C, Felsen L B
Appl Opt. 1978 Aug 1;17(15):2352-7. doi: 10.1364/AO.17.002352.
The waveguide approach developed previously by the authors is here applied to unstable strip resonators with unequal sharp-edged circular mirrors that have been tilted with respect to the resonator axis. An equivalent resonator with nontilted mirrors is defined wherein the mirror edges form asymmetrically placed terminations of the open-ended transverse waveguide. The eigenmode losses are found by calculating the waveguide mode reflection coefficients for each pair of edges and inserting these into the previously derived resonance equation. Numerical calculations for the low-loss detached mode are presented for the special case of symmetrical resonators with equally tilted mirrors since results for this configuration, for moderately large Fresnel numbers, have previously been given by Sanderson and Streifer. Our solutions agree with those of Sanderson and Streifer but accommodate also the range of large Fresnel numbers. It is found that misalignment introduces additional ripples into the power loss vs Fresnel number curves. A ray-optical interpretation in terms of edge diffraction is shown to account for this behavior.
作者之前开发的波导方法在此应用于具有不等边锐边圆形镜且相对于谐振器轴倾斜的不稳定条形谐振器。定义了一个具有非倾斜镜的等效谐振器，其中镜边缘形成了开放式横向波导的不对称放置的终端。通过计算每对边缘的波导模式反射系数并将其代入先前推导的共振方程来确定本征模损耗。对于具有同等倾斜镜的对称谐振器的特殊情况，给出了低损耗分离模式的数值计算结果，因为对于这种配置，在中等大菲涅耳数的情况下，Sanderson和Streifer之前已经给出了结果。我们的解与Sanderson和Streifer的解一致，但也涵盖了大菲涅耳数的范围。结果发现，失准会在功率损耗与菲涅耳数的曲线上引入额外的波纹。从边缘衍射的角度进行的光线光学解释表明可以解释这种行为。
