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Upper bounds on absorption and scattering

Gustafsson, Mats LU orcid ; Schab, Kurt LU ; Jelinek, Lukas and Capek, Miloslav (2019) In TEAT
Abstract
A general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations. The optimized variable is a contrast current defined within a prescribed region of a given material constitutive relations. Two power conservation constraints analogous to the optical theorem are utilized to tighten the bounds and to prescribe either losses or material properties. Thanks to the utilization of matrix rank-1 updates, modal decompositions, and model order reduction techniques, the optimization procedure is computationally efficient even for complicated scenarios. No dual gaps are observed. The... (More)
A general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations. The optimized variable is a contrast current defined within a prescribed region of a given material constitutive relations. Two power conservation constraints analogous to the optical theorem are utilized to tighten the bounds and to prescribe either losses or material properties. Thanks to the utilization of matrix rank-1 updates, modal decompositions, and model order reduction techniques, the optimization procedure is computationally efficient even for complicated scenarios. No dual gaps are observed. The method is well-suited to accommodate material anisotropy and inhomogeneity. To demonstrate the validity of the method, bounds on scattering, absorption, and extinction cross sections are derived first and evaluated for several canonical regions. The tightness of the bounds is verified by comparison to optimized spherical nanoparticles and shells. The next metric investigated is bi-directional scattering studied closely on a particular example of an electrically thin slab. Finally, the bounds are established for Purcell's factor and local field enhancement where a dimer is used as a practical example.
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author
; ; and
organization
publishing date
type
Book/Report
publication status
published
subject
in
TEAT
pages
37 pages
report number
7268
project
Optimal antenna synthesis
language
English
LU publication?
yes
additional info
New Journal of Physics 22, 073013, 2020
id
39876f59-762e-4d69-90f2-44f2378259dd
date added to LUP
2019-12-13 10:38:18
date last changed
2021-01-31 00:42:27
@techreport{39876f59-762e-4d69-90f2-44f2378259dd,
  abstract     = {{A general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations. The optimized variable is a contrast current defined within a prescribed region of a given material constitutive relations. Two power conservation constraints analogous to the optical theorem are utilized to tighten the bounds and to prescribe either losses or material properties. Thanks to the utilization of matrix rank-1 updates, modal decompositions, and model order reduction techniques, the optimization procedure is computationally efficient even for complicated scenarios. No dual gaps are observed. The method is well-suited to accommodate material anisotropy and inhomogeneity. To demonstrate the validity of the method, bounds on scattering, absorption, and extinction cross sections are derived first and evaluated for several canonical regions. The tightness of the bounds is verified by comparison to optimized spherical nanoparticles and shells. The next metric investigated is bi-directional scattering studied closely on a particular example of an electrically thin slab. Finally, the bounds are established for Purcell's factor and local field enhancement where a dimer is used as a practical example.<br/>}},
  author       = {{Gustafsson, Mats and Schab, Kurt and Jelinek, Lukas and Capek, Miloslav}},
  language     = {{eng}},
  number       = {{7268}},
  series       = {{TEAT}},
  title        = {{Upper bounds on absorption and scattering}},
  url          = {{https://lup.lub.lu.se/search/files/73168309/TEAT_7268.pdf}},
  year         = {{2019}},
}