Born-Padé method for scattering by a diffraction grating: s polarization

Thomas A. van der Sijs*, Omar El Gawhary, H. Paul Urbach

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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Abstract

We use a rigorous vector Born series to solve electromagnetic scattering by a diffraction grating. To deal with possible divergence of the Born series, we compute Padé approximants of the Born series to retrieve the solution regardless. Besides results of the Born-Padé method for an example grating, for which the Born series diverges, we show analytical expressions for a two-layer grating in the case of s polarization. This gives insight into the convergence behavior of the Born series as function of the angle of incidence, for instance.

Original languageEnglish
Title of host publicationNanophotonics X
EditorsDavid L. Andrews, Angus J. Bain, Antonio Ambrosio
PublisherSPIE
Number of pages8
ISBN (Electronic)9781510673007
DOIs
Publication statusPublished - 2024
EventNanophotonics X 2024 - Strasbourg, France
Duration: 7 Apr 202412 Apr 2024

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume12991
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceNanophotonics X 2024
Country/TerritoryFrance
CityStrasbourg
Period7/04/2412/04/24

Keywords

  • Born series
  • diffraction grating
  • electromagnetism
  • Padé approximants
  • scattering

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