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广义时间转移矩阵方法:一种求解时间分层结构中电磁波散射问题的系统方法。

Generalized temporal transfer matrix method: a systematic approach to solving electromagnetic wave scattering in temporally stratified structures.

作者信息

Xu Jingwei, Mai Wending, Werner Douglas H

机构信息

Department of Electrical Engineering, The Pennsylvania State University, University Park, PA 16802, USA.

出版信息

Nanophotonics. 2022 Mar 7;11(7):1309-1320. doi: 10.1515/nanoph-2021-0715. eCollection 2022 Mar.

DOI:10.1515/nanoph-2021-0715
PMID:39634623
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11501795/
Abstract

Opening a new door to tailoring electromagnetic (EM) waves, temporal boundaries have attracted the attention of researchers in recent years, which have led to many intriguing applications. However, the current theoretical approaches are far from enough to handle the complicated temporal systems. In this paper, we develop universal matrix formalism, paired with a unique coordinate transformation technique. The approach can effectively deal with temporally stratified structures with complicated material anisotropy and arbitrary incidence angles. This formulation is applied to various practical systems, enabling the solution of these temporal boundary related problems in a simple and elegant fashion, and also facilitating a deep insight into the fundamental physics.

摘要

时间边界为定制电磁波打开了一扇新的大门,近年来吸引了研究人员的关注,这也带来了许多有趣的应用。然而,当前的理论方法远不足以处理复杂的时间系统。在本文中,我们开发了通用矩阵形式体系,并结合了一种独特的坐标变换技术。该方法能够有效地处理具有复杂材料各向异性和任意入射角的时间分层结构。这种公式被应用于各种实际系统,能够以简单而优雅的方式解决这些与时间边界相关的问题,同时也有助于深入洞察基本物理原理。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/90410bbb623d/j_nanoph-2021-0715_fig_008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/5c1be3f0cd0e/j_nanoph-2021-0715_fig_001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/7ea2da52cd77/j_nanoph-2021-0715_fig_002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/d082f47c1f6c/j_nanoph-2021-0715_fig_003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/1501e56976d5/j_nanoph-2021-0715_fig_004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/5322f9abdabe/j_nanoph-2021-0715_fig_005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/c3e89036104b/j_nanoph-2021-0715_fig_006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/e6f1cbee77ec/j_nanoph-2021-0715_fig_007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/90410bbb623d/j_nanoph-2021-0715_fig_008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/5c1be3f0cd0e/j_nanoph-2021-0715_fig_001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/7ea2da52cd77/j_nanoph-2021-0715_fig_002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/d082f47c1f6c/j_nanoph-2021-0715_fig_003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/1501e56976d5/j_nanoph-2021-0715_fig_004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/5322f9abdabe/j_nanoph-2021-0715_fig_005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/c3e89036104b/j_nanoph-2021-0715_fig_006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/e6f1cbee77ec/j_nanoph-2021-0715_fig_007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/183c/11501795/90410bbb623d/j_nanoph-2021-0715_fig_008.jpg

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本文引用的文献

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Temporal Parity-Time Symmetry for Extreme Energy Transformations.极端能量转换的时间奇偶性——时间对称性
Phys Rev Lett. 2021 Oct 8;127(15):153903. doi: 10.1103/PhysRevLett.127.153903.
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Light scattering at a temporal boundary in a Lorentz medium.洛伦兹介质中时间边界处的光散射。
Opt Lett. 2021 Oct 1;46(19):4988-4991. doi: 10.1364/OL.437419.
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Impact of the boundary's sharpness on temporal reflection in dispersive media.边界锐度对色散介质中时间反射的影响。
Opt Lett. 2021 Aug 15;46(16):4053-4056. doi: 10.1364/OL.432180.
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Disordered Photonic Time Crystals.无序光子时间晶体
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Opt Lett. 2021 Mar 15;46(6):1373-1376. doi: 10.1364/OL.415757.
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Nonreciprocity in Bianisotropic Systems with Uniform Time Modulation.具有均匀时间调制的双各向异性系统中的非互易性。
Phys Rev Lett. 2020 Dec 31;125(26):266102. doi: 10.1103/PhysRevLett.125.266102.
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Harmonic information transitions of spatiotemporal metasurfaces.时空超表面的谐波信息转换
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Light propagation through metamaterial temporal slabs: reflection, refraction, and special cases.光在超材料时间平板中的传播:反射、折射及特殊情况。
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