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Singular topology of scattering matrices
- 发表刊物：PHYSICAL REVIEW B
- 摘要：We present a systematic topological theory of the scattering matrix and its submatrices, focusing on the singular values and vectors. We study the topological properties of the scattering matrix in the parameter space and determine a set of topological characteristics for a general system, including the winding number, Berry phase, and skew polarization. We reveal unique topological effects for a reciprocal system such as quantized
single-band polarization and Z2 topology of Takagi vectors. Applying our theory, we reveal the topological nature of two phenomena: the well-known effect of coherent perfect absorption and a new effect we call coherent perfect extinction. Coherent perfect extinction refers to the complete extinction of light due to interference of multiple incident waves. It accounts for both absorption and scattering losses and encompasses many other
known effects such as complete polarization conversion and reflectionless scattering modes, providing a unifying theme for these phenomena. Our analysis highlights the topological nature of these effects and provides criteria to localize their occurrence in parameter space, facilitating optical design to achieve these effects. We propose utilizing coherent perfect extinction for multichannel background-free sensing. These findings significantly advance our understanding of scattering phenomena and have important implications for the development of novel optical devices.
- 论文类型：期刊论文
- 卷号：108
- 期号：15
- 页面范围：155418
- 是否译文：否
- 发表时间：2023-10-17
- 发布期刊链接：https://journals.aps.org/prb/abstract/10.1103/PhysRevB.108.155418
