mathbb{T}$-Operator Limits on Optical Communication: Metaoptics, Computation, and Input-Output Transformations

We present an optimization framework based on Lagrange duality and the scattering $\mathbb{T}$ operator of electromagnetism to construct limits on the possible features that may be imparted to a collection of output fields from a collection of input fields, i.e., constraints on achievable optical tr...

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Bibliographic Details
Main Authors Molesky, Sean, Chao, Pengning, Mohajan, Jewel, Reinhart, Wesley, Chi, Heng, Rodriguez, Alejandro W
Format Journal Article
LanguageEnglish
Published 19.02.2021
Subjects
Mathematics - Mathematical Physics
Physics - Computational Physics
Physics - Mathematical Physics
Physics - Optics
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Summary:We present an optimization framework based on Lagrange duality and the scattering $\mathbb{T}$ operator of electromagnetism to construct limits on the possible features that may be imparted to a collection of output fields from a collection of input fields, i.e., constraints on achievable optical transformations and the characteristics of structured materials as communication channels. Implications of these bounds on the performance of representative optical devices having multi-wavelength or multiport functionalities are examined in the context of electromagnetic shielding, focusing, near-field resolution, and linear computing.
DOI:10.48550/arxiv.2102.10175