Imaging of optical modes — resonators with internal lenses
Imaging of optical modes — resonators with internal lenses
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DOI：
10.1002/j.1538-7305.1965.tb01672.x
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发表时间：
1965-03
影响因子：
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通讯作者：
H. Kogelnik
中科院分区：
文献类型：
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作者：
H. Kogelnik
本文讨论了光学谐振腔的模式，以及光的传播模式或高斯光束。研究了高斯光束通过透镜、望远镜、透镜组以及类透镜介质的情况。推导了模式匹配公式。引入了一个复光束参数，对于任何给定的光学结构，其变换规律都可以写成双线性变换（ABCD定律）的简单形式。还研究了带有内部光学元件的谐振腔及其对应的传输线。确定了有效菲涅耳数和曲率参数，由此可以推断出各种系统的衍射损耗、谐振条件和模式图样。得到了带有内部透镜的谐振腔、在透镜间插入光阑的透镜组、带有内部类透镜介质的谐振腔、由带有周期性间隔光阑的类透镜介质组成的传输线以及带有一个非常大反射镜的谐振腔的相关结果。
This paper discusses the modes of optical resonators, and optical modes of propagation or Gaussian beams of light. The passage of Gaussian beams through lenses, telescopes, sequences of lenses, and lenslike media is studied. Mode matching formulae are derived. A complex beam parameter is introduced for which the law of transformation by any given optical structure can be written in the simple form of a bilinear transformation (ABCD law). Resonators with internal optical elements and their transmission line duals are also investigated. Effective Fresnel numbers and curvature parameters are determined which allow one to infer the diffraction losses, the resonant conditions, and the mode patterns of the various systems. Results are obtained for resonators with internal lenses, sequences of lenses with irises inserted between the lenses, resonators with internal lenslike media, transmission lines consisting of a lenslike medium with periodically spaced irises, and resonators with one very large mirror.