Application of the differential method to uniaxial gratings with an infinite number of refraction channels: Scalar case

Ricardo A. Depine; Marina E. Inchaussandague; Akhlesh Lakhtakia

doi:10.1016/j.optcom.2005.07.067

Application of the differential method to uniaxial gratings with an infinite number of refraction channels: Scalar case

Ricardo A. Depine
, Marina E. Inchaussandague
, Akhlesh Lakhtakia

Engineering Science and Mechanics

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

5 Scopus citations

Abstract

The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic medium characterized by hyperbolic dispersion equations. Numerical results for sinusoidal gratings are presented and compared with those obtained by means of the Rayleigh method, showing that both the differential method and the Rayleigh method can fail to give adequate results for gratings supporting an infinite number of refracted Floquet harmonics.

Original language	English (US)
Pages (from-to)	90-96
Number of pages	7
Journal	Optics Communications
Volume	258
Issue number	2
DOIs	https://doi.org/10.1016/j.optcom.2005.07.067
State	Published - Feb 15 2006

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/j.optcom.2005.07.067

Cite this

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title = "Application of the differential method to uniaxial gratings with an infinite number of refraction channels: Scalar case",

abstract = "The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic medium characterized by hyperbolic dispersion equations. Numerical results for sinusoidal gratings are presented and compared with those obtained by means of the Rayleigh method, showing that both the differential method and the Rayleigh method can fail to give adequate results for gratings supporting an infinite number of refracted Floquet harmonics.",

author = "Depine, \{Ricardo A.\} and Inchaussandague, \{Marina E.\} and Akhlesh Lakhtakia",

note = "Funding Information: R.A.D. and M.E.I. acknowledge financial support from Consejo Nacional de Investigaciones Cient{\'i}ficas y T{\'e}cnicas (CONICET), Agencia Nacional de Promoci{\'o}n Cient{\'i}fica y Tecnol{\'o}gica (ANPCYT-BID 1201/OC-AR-PICT14099) and Universidad de Buenos Aires. A.L. is grateful for financial support from the Penn State CIRTL Project funded by the US National Science Foundation.",

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doi = "10.1016/j.optcom.2005.07.067",

language = "English (US)",

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AU - Depine, Ricardo A.

AU - Inchaussandague, Marina E.

AU - Lakhtakia, Akhlesh

N1 - Funding Information: R.A.D. and M.E.I. acknowledge financial support from Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Agencia Nacional de Promoción Científica y Tecnológica (ANPCYT-BID 1201/OC-AR-PICT14099) and Universidad de Buenos Aires. A.L. is grateful for financial support from the Penn State CIRTL Project funded by the US National Science Foundation.

PY - 2006/2/15

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N2 - The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic medium characterized by hyperbolic dispersion equations. Numerical results for sinusoidal gratings are presented and compared with those obtained by means of the Rayleigh method, showing that both the differential method and the Rayleigh method can fail to give adequate results for gratings supporting an infinite number of refracted Floquet harmonics.

AB - The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic medium characterized by hyperbolic dispersion equations. Numerical results for sinusoidal gratings are presented and compared with those obtained by means of the Rayleigh method, showing that both the differential method and the Rayleigh method can fail to give adequate results for gratings supporting an infinite number of refracted Floquet harmonics.

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JO - Optics Communications

JF - Optics Communications

IS - 2

ER -

Application of the differential method to uniaxial gratings with an infinite number of refraction channels: Scalar case

Abstract

All Science Journal Classification (ASJC) codes

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