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

Hongting Jia; Kiyotoshi Yasumoto

doi:10.1023/B:IJIM.0000047450.11515.4a

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

Hongting Jia, Kiyotoshi Yasumoto

Research output: Contribution to journal › Article › peer-review

16 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 language	English
Pages (from-to)	1591-1609
Number of pages	19
Journal	International Journal of Infrared and Millimeter Waves
Volume	25
Issue number	11
DOIs	https://doi.org/10.1023/B:IJIM.0000047450.11515.4a
Publication status	Published - Nov 1 2004

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

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10.1023/B:IJIM.0000047450.11515.4a

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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.",

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

Abstract

All Science Journal Classification (ASJC) codes

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