Fymat A L
Appl Opt. 1972 Jan 1;11(1):160-73. doi: 10.1364/AO.11.000160.
A general analytical method using the formalisms of polarization coherency and Jones's matrices is provided for the evaluation of all polarization effects in fourier spectroscopy. The method applies to any incident state of arbitrary (complete, random, or partial) polarization. Inversely, it may also be used for determining the intensity and state of polarization of the source of light. TE- and TM-mode reflectivity and transmissivity for beam splitters and the dependence of these quantities on the incident polarization are obtained. It is demonstrated that three different efficiencies for these optical components must be introduced. Interferometer efficiency expressions for the source beam and the detector beam are also derived and shown to be essentially different from the previous efficiencies. Polarization effects of beam splitters, reflectors, and their composite combinations (interferometers) are investigated in detail. General conditions for complete or restricted polarization compensation are derived. Theoretical SNR expressions for both the source beam and the detector beam are also obtained; these formulas specifically account for the incident state of polarization, the polarization effects of the interferometer, and make use of the exact expressions for the appropriate interferometer efficiency. In an Appendix, a brief comparison is made between some usual representations of the state of wave polarization.
提供了一种使用极化相干形式和琼斯矩阵的通用分析方法，用于评估傅里叶光谱中的所有极化效应。该方法适用于任意（完全、随机或部分）极化的任何入射状态。反之，它也可用于确定光源的强度和极化状态。获得了分束器的TE和TM模式反射率和透射率，以及这些量对入射极化的依赖性。结果表明，必须引入这些光学元件的三种不同效率。还推导了源光束和探测器光束的干涉仪效率表达式，并表明它们与以前的效率本质上不同。详细研究了分束器、反射器及其复合组合（干涉仪）的极化效应。推导了完全或受限极化补偿的一般条件。还获得了源光束和探测器光束的理论信噪比表达式；这些公式具体考虑了入射极化状态、干涉仪的极化效应，并使用了适当干涉仪效率的精确表达式。在附录中，对波极化状态的一些常用表示进行了简要比较。
