Electromagnetic scalar product in spatially bounded domains

Vavilin, Maxim; Rockstuhl, Carsten; Fernandez-Corbaton, Ivan

doi:10.1103/physreva.109.043506

Phys. Rev. A

2024

DOI: 10.1103/physreva.109.043506

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Electromagnetic scalar product in spatially bounded domains

Maxim Vavilin,

Carsten Rockstuhl,

Ivan Fernandez-Corbaton

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2024

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An Algebraic Approach to Light–Matter Interactions

Fernandez‐Corbaton

2024

Advanced Physics Research

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A theoretical and computational framework for the study and engineering of light–matter interactions is reviewed in here. The framework rests on the invariance properties of electromagnetism, and is formalized in a Hilbert space whose conformally invariant scalar product provides connections to physical quantities, such as the energy or momentum of a given field, or the outcome of measurements. The light–matter interaction is modeled by the polychromatic scattering operator, which establishes a natural connection to a popular computational formalism, the transition matrix, or T‐matrix. This review contains a succinct yet comprehensive description of the main theoretical ideas, and illustrates some of the practical benefits of the approach.

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An Algebraic Approach to Light–Matter Interactions

Fernandez‐Corbaton

2024

Advanced Physics Research

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Electromagnetic scalar product in spatially bounded domains

Cited by 1 publication

References 29 publications

An Algebraic Approach to Light–Matter Interactions

An Algebraic Approach to Light–Matter Interactions

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