Marques Dylan M, Guggenheim James A, Munro Peter R T
Opt Express. 2022 Dec 19;30(26):46294-46306. doi: 10.1364/OE.472308.
We present a model that calculates optical fields reflected and transmitted by a Fabry-Perot (FP) etalon composed of interfaces with non-planar surface topography. The model uses the Rayleigh-Rice theory, which predicts the fields reflected and transmitted by a single interface, to account for the non-planar surface topography of each interface. The Rayleigh-Rice theory is evaluated iteratively to account for all round trips that light can take within the FP etalon. The model predictions can then be used to compute Interferometer transfer function (ITF)s, by performing wavelength or angle resolved simulations enabling predictions of the bandwidth, peak transmissivity, and sensitivity of FP etalons. The model was validated against the Pseudospectral time-domain (PSTD) method, which resulted in good agreement. Since the model accuracy is expected to reduce as the Root mean square (RMS) of the topographic map increases, the error in the model's predictions was studied as a function of topographic map RMS. Finally, application of the model was exemplified by predicting the impact of roughness on ITFs and computing the changes in FP etalon transmissivity as cavity thickness is modulated by an ultrasonic wave.
我们提出了一个模型，该模型可计算由具有非平面表面形貌的界面组成的法布里-珀罗（FP）标准具所反射和透射的光场。该模型使用瑞利-赖斯理论（该理论可预测单个界面所反射和透射的光场）来考虑每个界面的非平面表面形貌。通过迭代评估瑞利-赖斯理论，以考虑光在FP标准具内可能进行的所有往返行程。然后，通过执行波长或角度分辨模拟，利用模型预测来计算干涉仪传递函数（ITF），从而能够预测FP标准具的带宽、峰值透射率和灵敏度。该模型通过与伪谱时域（PSTD）方法进行对比验证，结果显示二者吻合良好。由于预计随着地形图的均方根（RMS）增加，模型精度会降低，因此研究了模型预测误差与地形图RMS的函数关系。最后，通过预测粗糙度对ITF的影响以及计算当腔厚度由超声波调制时FP标准具透射率的变化，举例说明了该模型的应用。
