title: Application of the Fixed Point Theorem for the solution of the 1D wave equation: comparison with exact Mathieu solutions.
abstract: A method based in the application of Fixed Point Theorem (FPT) techniques to the solution of the 1D wave equation at normal incidence for materials that present a continuous (real or complex) dielectric constant is presented. As an example, the method is applied for the calculation of the electric field, reflection and transmission spectra in volume holographic gratings. It is shown that the solution obtained using this method agrees with the exact Mathieu solutions also obtained in this paper for volume holographic reflection gratings.
authors.forename: L
authors.initials: L
authors.lastname: Carretero
authors.forename: M
authors.initials: M
authors.lastname: Perez-Molina
authors.forename: S
authors.initials: S
authors.lastname: Blaya
authors.forename: R
authors.initials: R
authors.lastname: Madrigal
authors.forename: P
authors.initials: P
authors.lastname: Acebal
authors.forename: A
authors.initials: A
authors.lastname: Fimia