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@article{Byrnes:2021:10.1103/PhysRevResearch.3.013129,
author = {Byrnes, N and Foreman, MR},
doi = {10.1103/PhysRevResearch.3.013129},
journal = {Physical Review Research},
pages = {013129  1--013129  13},
title = {Symmetry constraints for vector scattering and transfer matrices containing evanescent components: energy conservation, reciprocity and time reversal},
url = {http://dx.doi.org/10.1103/PhysRevResearch.3.013129},
volume = {3},
year = {2021}
}

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TY  - JOUR
AB  - In this work we study the scattering and transfer matrices for electricfields defined with respect to an angular spectrum of plane waves. For thesematrices, we derive the constraints that are enforced by conservation ofenergy, reciprocity and time reversal symmetry. Notably, we examine the generalcase of vector fields in three dimensions and allow for evanescent fieldcomponents. Moreover, we consider fields described by both continuous anddiscrete angular spectra, the latter being more relevant to practicalapplications, such as optical scattering experiments. We compare our results tobetter-known constraints, such as the unitarity of the scattering matrix forfar-field modes, and show that previous results follow from our framework asspecial cases. Finally, we demonstrate our results numerically with a simpleexample of wave propagation at a planar glass-air interface, including theeffects of total internal reflection. Our formalism makes minimal assumptionsabout the nature of the scattering medium and is thus applicable to a widerange of scattering problems.
AU  - Byrnes,N
AU  - Foreman,MR
DO  - 10.1103/PhysRevResearch.3.013129
EP  - 1
PY  - 2021///
SN  - 2643-1564
SP  - 013129
TI  - Symmetry constraints for vector scattering and transfer matrices containing evanescent components: energy conservation, reciprocity and time reversal
T2  - Physical Review Research
UR  - http://dx.doi.org/10.1103/PhysRevResearch.3.013129
UR  - http://arxiv.org/abs/2011.14974v1
UR  - https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.013129
UR  - http://hdl.handle.net/10044/1/86599
VL  - 3
ER  -

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