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$\mathbb{T}$-Operator Limits on Optical Communication: Metaoptics, Computation, and Input-Output Transformations
Optics · Submitted 19 Feb 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 0.91 | 0.94 | 0.40 | asserted 0.97 |
| s1 | 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. | interpretation 0.78 | 0.79 | 0.17 | asserted 0.87 |
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The paper
Original abstract
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.
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How the literature uses it
3 arXiv papers cite this in 8 sentences
Papers citing it · 7 sentences without a confident label
Cites it as background 1 paper
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Though a few bounds have been identified in certain physical scenarios [ref] , those are still open questions that await for general answers.
Bounds on the Coupling Strengths of Communication Channels and Their Information Capacities · Extensions · 0.82
What it cites · 13 sentences without a confident label
Builds on 1 paper
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During this brief overview, two innovations necessary for handling generic input–output formulations are introduced: a further generalization on the variety of operator constraints that can be imposed based on the definition of the $𝕋$ operator, beyond the possibility of local clusters examined in Refs. [ref] , and a generalization of the type of vector image constraints that should be usually considered, as required to enforce that every transformation in an input–output set references the same underlying structure.
Computational bounds to light-matter interactions via local conservation laws · Introduction · 0.93
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