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arXiv physics/0305040physics.optics
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作为多层膜光学基本构件的双曲反射

Hyperbolic reflections as fundamental building blocks for multilayer optics

A. G. Barriuso, J. J. Monzon, L. L. Sanchez-Soto, J. F. Carinena

摘要:

我们重新阐述了无损多层膜的基本性质,通过使用双线性变换。我们研究了单位圆盘中多层传递函数的一些有趣的性质,表明双曲几何是理解多层作用的一个重要工具。我们使用一个简单的跟踪标准,多层膜分为三类,代表旋转,平移,或平行位移。此外,我们表明,这三个行动可以分解为产品的两个反射在双曲线。因此,我们得出结论,双曲反射可以被认为是更深入地理解多层光学的基本件。

英文摘要:

We reelaborate on the basic properties of lossless multilayers by using bilinear transformations. We study some interesting properties of the multilayer transfer function in the unit disk, showing that hyperbolic geometry turns out to be an essential tool for understanding multilayer action. We use a simple trace criterion to classify multilayers into three classes that represent rotations, translations, or parallel displacements. Moreover, we show that these three actions can be decomposed as a product of two reflections in hyperbolic lines. Therefore, we conclude that hyperbolic reflections can be considered as the basic pieces for a deeper understanding of multilayer optics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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