Application of Mathieu functions for the study of non-slanted reflection gratings


Autoria(s): Estepa Espada, Luis Alberto; Neipp López, Cristian; Francés Monllor, Jorge; Pérez Molina, Manuel; Fernández Varó, Elena; Beléndez Vázquez, Augusto
Contribuinte(s)

Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal

Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía

Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías

Holografía y Procesado Óptico

Data(s)

26/10/2011

26/10/2011

01/05/2011

26/06/2011

Resumo

In this work we prensent an analysis of non-slanted reflection gratings by using exact solution of the second order differential equation derived from Maxwell equations, in terms of Mathieu functions. The results obtained by using this method will be compared to those obtained by using the well known Kogelnik's Coupled Wave Theory which predicts with great accuracy the response of the efficieny of the zero and first order for volume phase gratings, for both reflection and transmission gratings.

This work was supported by the “Ministerio de Ciencia e Innovación” of Spain under projects FIS2008-05856-C02-01 and FIS2008-05856-C02-02, and by the “Generalitat Valenciana” of Spain under project PROMETEO/2011/021.

Identificador

ESTEPA ESPADA, Luis Alberto, et al. “Application of Mathieu functions for the study of non-slanted reflection gratings”. En: CMMSE 2011 : Proceedings of the 11th International Conference on Mathematical Methods in Science and Engineering, Benidorm, Spain, June 26-30, 2011 / ed. J. Vigo Aguiar. Salamanca : CMMSE, 2011. Vol. IV. ISBN 978-84-614-6167-7, pp. 1302-1307

978-84-614-6167-7

http://hdl.handle.net/10045/19179

Idioma(s)

eng

Publicador

CMMSE

Direitos

info:eu-repo/semantics/openAccess

Palavras-Chave #Diffraction gratings #Mathieu equation #Volume holograms #Física Aplicada #Óptica #Matemática Aplicada
Tipo

info:eu-repo/semantics/conferenceObject