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Photonic Bloch waves and field microstructure in nonlinear gratings: An intuitive approach

Photonic Bloch waves and field microstructure in nonlinear gratings: An intuitive approach
Photonic Bloch waves and field microstructure in nonlinear gratings: An intuitive approach
Coupled wave theory is commonly used in numerical simulations of reflection from nonlinear grating structures. By contrast, the complementary photonic Bloch wave (PBW) approach has rarely been adopted, perhaps the only example being recent work on gap solitons. Bloch wave theory offers an alternative physical intuitive picture that encourages one to think in terms of field microstructure, leading to a range of simple explanations for the behaviour of light in linear gratings. In this paper the dispersion relation and field microstructure of Bloch waves are found, and used to clarify the physical mechanisms that lead to regions of bistability, instability and oscillation for incidence of a monochromatic plane wave on a nonlinear grating half-space.
Russell, P.St.J.
77db5e8d-8223-4806-ae60-a106619a022a
Russell, P.St.J.
77db5e8d-8223-4806-ae60-a106619a022a

Russell, P.St.J. (1991) Photonic Bloch waves and field microstructure in nonlinear gratings: An intuitive approach. Topical Meeting on Nonlinear Guided Wave Phenomena, Cambridge, United Kingdom. 01 - 04 Sep 1991.

Record type: Conference or Workshop Item (Paper)

Abstract

Coupled wave theory is commonly used in numerical simulations of reflection from nonlinear grating structures. By contrast, the complementary photonic Bloch wave (PBW) approach has rarely been adopted, perhaps the only example being recent work on gap solitons. Bloch wave theory offers an alternative physical intuitive picture that encourages one to think in terms of field microstructure, leading to a range of simple explanations for the behaviour of light in linear gratings. In this paper the dispersion relation and field microstructure of Bloch waves are found, and used to clarify the physical mechanisms that lead to regions of bistability, instability and oscillation for incidence of a monochromatic plane wave on a nonlinear grating half-space.

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Published date: September 1991
Venue - Dates: Topical Meeting on Nonlinear Guided Wave Phenomena, Cambridge, United Kingdom, 1991-09-01 - 1991-09-04

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Local EPrints ID: 77401
URI: http://eprints.soton.ac.uk/id/eprint/77401
PURE UUID: 25d909f6-c7ab-417e-960c-77291cf1e758

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Date deposited: 11 Mar 2010
Last modified: 13 Mar 2024 23:51

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Author: P.St.J. Russell

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