Estepa Espada, Luis Alberto, Neipp, Cristian, Francés, Jorge, Márquez, Andrés, Bleda, Sergio, Pérez Molina, Manuel, Ortuño, Manuel, Gallego, Sergi
Corrected coupled-wave theory for non-slanted reflection gratings
ESTEPA ESPADA, Luis Alberto, et al. "Corrected coupled-wave theory for non-slanted reflection gratings". En: Physical Optics / edited by Daniel G. Smith, Frank Wyrowski, Andreas Erdmann. Bellingham, Wash. : SPIE, 2011. (Proceedings of SPIE; Vol. 8171). ISBN 978-0-81948-797-1, pp. 81710R-1/10
URI: http://hdl.handle.net/10045/19879
DOI: 10.1117/12.896877
ISSN: 0277-786X
ISBN: 978-0-81948-797-1
Abstract: 
In this work we present an analysis of non-slanted reflection gratings by using a corrected Coupled Wave Theory which takes into account boundary conditions. It is well known that Kogelnik's Coupled Wave Theory predicts with great accuracy the response of the efficiency of the zero and first order for volume phase gratings, for both reflection and transmission gratings. Nonetheless, since this theory disregard the second derivatives in the coupled wave equations derived from Maxwell equations, it doesn't account for boundary conditions. Moreover only two orders are supposed, so when either the thickness is low or when high refractive index high are recorded in the element Kogelnik's Theory deviates from the expected results. In Addition, for non-slanted reflection gratings, the natural reflected wave superimpose the reflection order predicted by Coupled Wave theories, so the reflectance cannot be obtained by the classical expression of Kogelnik's Theory for reflection gratings. In this work we correct Kogelnik's Coupled Wave Theory to take into account these issues, the results are compared to those obtained by a Matrix Method, showing good agreement between both theories.
Keywords:Holography, Matrix method, Coupled wave theory, Volume phase grating, Diffraction grating, Diffraction efficiency
SPIE, The International Society for Optical Engineering
info:eu-repo/semantics/article