Open AccessBridging pole and coupled wave formalisms for grating waveguide resonance analysis and design synthesis
Author(s) -
David Piétroy,
A.V. Tishchenko,
Manuel Flury,
Ο. Parriaux
Publication year - 2007
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.009831
Subject(s) - optics , grating , rotation formalisms in three dimensions , reflection coefficient , physics , waveguide , reflection (computer programming) , evanescent wave , total internal reflection , mathematics , geometry , computer science , programming language
The algebraic polar expression of resonant reflection from a grating waveguide excited by a free space wave is formulated in terms of the physically meaningful phenomenological parameters of the coupled wave formalism. The reflection coefficient is simply represented as a circle in the complex plane which sheds light on the behaviour of the modulus and phase of anomalous reflection. Analytical expressions are derived for the phenomenological parameters that can now be calculated from optogeometrical quantities which are simple to measure. The relevance and usefulness of bridging the two formalisms is shown in the example of the design of an evanescent wave biosensor.