Joint control of coherent transmission, reflection, and absorption

Fuente: arXiv
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Autores principales: Li, Shiyu, Kim, Dongha, Fan, Shanhui, Guo, Cheng
Formato: Preprint
Publicado: 2025
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author Li, Shiyu
Kim, Dongha
Fan, Shanhui
Guo, Cheng
author_facet Li, Shiyu
Kim, Dongha
Fan, Shanhui
Guo, Cheng
contents Controlling multiple wave properties simultaneously poses a key challenge in coherent control of wave transport. We present a theory for joint coherent control of transmission, reflection, and absorption in linear systems. We prove that the numerical range provides the mathematical structure governing achievable responses, and reveal non-abelian effects due to non-commutativity between transmission, reflection, and absorption matrices. We provide an algorithm to achieve arbitrary target responses. Our results establish a theoretical foundation for joint coherent control of waves.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04788
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Joint control of coherent transmission, reflection, and absorption
Li, Shiyu
Kim, Dongha
Fan, Shanhui
Guo, Cheng
Optics
Mesoscale and Nanoscale Physics
Controlling multiple wave properties simultaneously poses a key challenge in coherent control of wave transport. We present a theory for joint coherent control of transmission, reflection, and absorption in linear systems. We prove that the numerical range provides the mathematical structure governing achievable responses, and reveal non-abelian effects due to non-commutativity between transmission, reflection, and absorption matrices. We provide an algorithm to achieve arbitrary target responses. Our results establish a theoretical foundation for joint coherent control of waves.
title Joint control of coherent transmission, reflection, and absorption
topic Optics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2511.04788