Phenomenological theory of filtering by resonant dielectric gratings
- 1 June 2002
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 19 (6), 1136-1144
- https://doi.org/10.1364/josaa.19.001136
Abstract
Using a phenomenological theory of diffraction gratings made by perturbing a planar waveguide allows us to deduce important properties of the sharp filtering phenomena generated by this kind of structure when the incident light excites a guided wave. It is shown that the resonance phenomenon occurring in these conditions acts on one of the two eigenvalues of the Hermitian reflection matrix only. As a consequence, we deduce a mathematical expression of the reflectivity and demonstrate that high-efficiency filtering of unpolarized light requires the simultaneous excitation of two uncoupled guided waves. Numerical examples are given.Keywords
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