两束失调失配完全高斯光束干涉的解析描述
Analytical description of interference between two misaligned and mismatched complete Gaussian beams
摘要:
激光干涉仪的典型应用是对导致干涉相移的长度变化进行精确测量。由于需要求解的重叠积分的复杂性,这种相位变化通常是数值预测的。在本文中,我们将推导出干涉相位和对比度(又名。条纹可见度)。基本高斯光束可以任意地彼此失调和失配。分析结果的一个限制是,这两个光束必须被完全检测到,这可以通过实验实现一个足够大的单元件光电探测器。
英文摘要:
A typical application for laser interferometers is a precision measurement of length changes that result in interferometric phase shifts. Such phase changes are typically predicted numerically, due to the com- plexity of the overlap integral that needs to be solved. In this paper we will derive analytical representations of the interferometric phase and contrast (aka. fringe visibility) for two beam interferometers, both homodyne and heterodyne. The fundamental Gaussian beams can be arbitrarily misaligned and mismatched to each other. A limitation of the analytical result is that both beams must be detected completely, which can experimentally be realized by a sufficiently large single-element photodetector.
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