A novel formulation of the fourier model method in S-matrix form for arbitrary shaped gratings

Hongting Jia, Kiyotoshi Yasumoto

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A new formula has been proposed for analyzing arbitrary shaped-gratings. The formula is in very simple form, is always suitable for all the gratings of arbitrary profiles, any depth, and any permittivity. The new formula has a character of satisfying rigorously the energy-flux conservation. The effectiveness and its characters have been confirmed by numerical examples. The numerical examples have shown that the new formula is superior to the classical formulas with Fourier series technique in convergence, computing precision, and stability.

Original languageEnglish
Pages (from-to)1591-1609
Number of pages19
JournalInternational Journal of Infrared and Millimeter Waves
Volume25
Issue number11
DOIs
Publication statusPublished - Nov 1 2004

Fingerprint

Fourier series
Conservation
Permittivity
gratings
Fluxes
formulations
matrices
conservation
permittivity
profiles
energy

All Science Journal Classification (ASJC) codes

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Instrumentation
  • Condensed Matter Physics
  • Physics and Astronomy (miscellaneous)
  • Electrical and Electronic Engineering

Cite this

A novel formulation of the fourier model method in S-matrix form for arbitrary shaped gratings. / Jia, Hongting; Yasumoto, Kiyotoshi.

In: International Journal of Infrared and Millimeter Waves, Vol. 25, No. 11, 01.11.2004, p. 1591-1609.

Research output: Contribution to journalArticle

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