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Phenomenological theory of filtering by resonant dielectric gratings



Phenomenological theory of filtering by resonant dielectric gratings



Journal of the Optical Society of America. A Optics Image Science and Vision 19(6): 1136-1144



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.

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Accession: 046973459

Download citation: RISBibTeXText

PMID: 12049351

DOI: 10.1364/josaa.19.001136


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