Neipp, Cristian, Francés, Jorge, Pérez Molina, Manuel, Bleda, Sergio, Beléndez, Augusto
Transference matrix method for non slanted holographic reflection gratings
NEIPP LÓPEZ, Cristian, et al. "Transference matrix method for non slanted holographic reflection gratings". En: Optical Modelling and Design : 5 May 2010, Bruxelles, Belgium / edited by Frank Wyrowski, John T. Sheridan, Jani Tervo, Youri Meuret. Bellingham, Wash. : SPIE, 2010. (Proceedings of SPIE; Vol. 7717). ISBN 978-0-81948-190-0, pp. 771706-1/7
URI: http://hdl.handle.net/10045/14245
DOI: 10.1117/12.854277
ISSN: 0277-786X
ISBN: 978-0-81948-190-0
Abstract: 
In this work we present an analysis of non-slanted holographic reflection gratings by using a matrix method. A transfer matrix which relates the values of the electric field and its derivatives is obtained for a permittivity which varies cosenoidally for one period. The coefficients of this matrix can be calculated in terms of Mathieu's functions and their derivatives. Then the matrix of the entire medium is obtained as the Nth power of the matrix for one period. Since the reflectance and transmittance coefficients are related to the coefficients of the medium matrix, it is possible to calculate the efficiencies of orders -1 (reflected) and 0 (transmitted) by using this method. The results obtained by using the Transference Matrix Method are compared to those obtained using Kogelnik's expressions for the transmission and diffraction efficiency. As will be seen there is good agreement between the results obtained by the Transference Matrix Method and those of the Coupled Wave Theory.
Keywords:Holography, Volume holography, Holographic gratings, Reflection gratings, Coupled Wave Theory
SPIE, The International Society for Optical Engineering
info:eu-repo/semantics/article