Theory of quarter-wave-stack dielectric mirrors used in a thin fabry-perot filter.
Theory of quarter-wave-stack dielectric mirrors used in a thin fabry-perot filter.
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用于薄法布里-珀罗滤波器的四分之一波堆叠介质镜的理论。
DOI：
10.1364/ao.42.005442
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发表时间：
2003
期刊：
影响因子：
1.9
通讯作者：
E. Garmire
中科院分区：
文献类型：
--
作者：
E. Garmire
本文提出了由四分之一波堆组成的分布式介质反射镜的近共振相移和反射后的光穿透长度解析形式的新推导。为了研究大的光学穿透深度，我们搁置了对高反射率的适当终端的要求。分别推导了N和N + 1/2层对的方程，便于设计具有特定调谐范围的可调谐法布里-珀罗滤波器。该分析也适用于分布式布拉格反射器、垂直腔面发射激光器和谐振光电二极管。我表明，穿透长度可以急剧减少超薄法布里-珀罗滤波器过宽的自由光谱范围，这可能在波分复用应用的可调波长滤波器等应用中很有用。结果还证明了介质镜中的零色散和超光反射机制，这是光子带隙结构中特别感兴趣的。
I present a new derivation of the analytic form for the phase shift near resonance and the optical penetration length upon reflection from a distributed dielectric mirror consisting of a quarter-wave stack. The requirement of proper termination to achieve high reflectivity is suspended to investigate large optical penetration depths. Separate equations, derived for N and N + 1/2 layer pairs, are convenient for the design of tunable Fabry-Perot filters with a specified tuning range. The analysis is also applicable to distributed Bragg reflectors, vertical-cavity surface-emitting lasers, and resonant photodiodes. I show that the penetration length can sharply reduce the overly broad free spectral range of an ultrathin Fabry-Perot filter that might be useful in applications such as tunable wavelength filters for wavelength division multiplexing applications. The results also demonstrate regimes of zero dispersion and of superluminal reflection in the dielectric mirrors, which are of particular interest in photonic bandgap structures.