Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings

Cinthya Rivas, Manuel E. Solano, Rodolfo Rodríguez, Peter B. Monk, Akhlesh Lakhtakia

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We have formulated an asymptotic model for implementation in the finite-element method to calculate diffraction from a planar multilayered structure having a shallow surface-relief grating. The thin grating layer containing the shallow grating is replaced by a planar interface with transmission conditions that differ from the standard continuity conditions, thereby eliminating the necessity of representing the grating layer by a fine mesh. The parameters defining the shallow surface-relief grating are thereby removed from the geometry to the transmission conditions. Adoption of the asymptotic model will considerably reduce the computational cost of optimizing the grating shape because there is no need to re-mesh at every optimization step.

Original languageEnglish (US)
Pages (from-to)68-79
Number of pages12
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume34
Issue number1
DOIs
StatePublished - Jan 1 2017

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Diffraction gratings
Diffraction
gratings
diffraction
Finite element method
Geometry
mesh
Costs
planar structures
continuity
finite element method
costs
optimization
geometry

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

Cite this

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abstract = "We have formulated an asymptotic model for implementation in the finite-element method to calculate diffraction from a planar multilayered structure having a shallow surface-relief grating. The thin grating layer containing the shallow grating is replaced by a planar interface with transmission conditions that differ from the standard continuity conditions, thereby eliminating the necessity of representing the grating layer by a fine mesh. The parameters defining the shallow surface-relief grating are thereby removed from the geometry to the transmission conditions. Adoption of the asymptotic model will considerably reduce the computational cost of optimizing the grating shape because there is no need to re-mesh at every optimization step.",
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Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings. / Rivas, Cinthya; Solano, Manuel E.; Rodríguez, Rodolfo; Monk, Peter B.; Lakhtakia, Akhlesh.

In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 34, No. 1, 01.01.2017, p. 68-79.

Research output: Contribution to journalArticle

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AU - Lakhtakia, Akhlesh

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