Fresnel formulation for multi-element lamellar diffraction gratings in conical mountings

Campbell, S; Botten, LC; de Sterke, CM; McPhedran, RC

Fresnel formulation for multi-element lamellar diffraction gratings in conical mountings

Campbell, S Botten, LC

de Sterke, CM McPhedran, RC

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Publication Type:: Journal Article
Citation:: Waves in Random and Complex Media, 2007, 17 (4), pp. 455 - 475
Issue Date:: 2007-11-01

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Field	Value	Language
dc.contributor.author	Campbell, S	en_US
dc.contributor.author	Botten, LC https://orcid.org/0000-0001-6471-6954	en_US
dc.contributor.author	de Sterke, CM	en_US
dc.contributor.author	McPhedran, RC	en_US
dc.date.issued	2007-11-01	en_US
dc.identifier.citation	Waves in Random and Complex Media, 2007, 17 (4), pp. 455 - 475	en_US
dc.identifier.issn	1745-5030	en_US
dc.identifier.uri	http://hdl.handle.net/10453/3489
dc.description.abstract	A formulation of the modal method for multi-element dielectric lamellar diffraction gratings is presented. It combines the conventional semi-analytic Kronig-Penny formulation with a Fresnel scattering matrix approach to the solution of the diffraction problem. The theory is intuitive, applicable to complex geometries, and provides insight into diffraction grating physics. With the Fresnel matrix extensions the method potentially has greater generality than other formulations, and is applicable to non-trivial waveguide problems, such as characterizing the coupling between 1D photonic crystal waveguides. A numerically stable way of using the modal method for multilayer stacks of lamellar gratings is described.	en_US
dc.relation.ispartof	Waves in Random and Complex Media	en_US
dc.relation.isbasedon	10.1080/17455030701466428	en_US
dc.subject.classification	Optics	en_US
dc.title	Fresnel formulation for multi-element lamellar diffraction gratings in conical mountings	en_US
dc.type	Journal Article
utslib.citation.volume	4	en_US
utslib.citation.volume	17	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0203 Classical Physics	en_US
utslib.for	0299 Other Physical Sciences	en_US
dc.location.activity	ISI:000251400800005	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	closed_access
pubs.issue	4	en_US
pubs.publication-status	Published	en_US
pubs.volume	17	en_US

Abstract:

A formulation of the modal method for multi-element dielectric lamellar diffraction gratings is presented. It combines the conventional semi-analytic Kronig-Penny formulation with a Fresnel scattering matrix approach to the solution of the diffraction problem. The theory is intuitive, applicable to complex geometries, and provides insight into diffraction grating physics. With the Fresnel matrix extensions the method potentially has greater generality than other formulations, and is applicable to non-trivial waveguide problems, such as characterizing the coupling between 1D photonic crystal waveguides. A numerically stable way of using the modal method for multilayer stacks of lamellar gratings is described.

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http://hdl.handle.net/10453/3489