Comparison between a thin matrix decomposition method and the rigorous coupled wave theory applied to volume diffraction gratings
Abstract:Diffraction gratings have been an interesting field during the last decades. A great deal of research has been done in order to understand how light propagates inside diffraction gratings. Since its formulation, the Rigorous Coupled Wave Theory (RCWT) has been applied to different periodic structures providing a basis to check the validity of approximate theories, such as Kogelnik's coupled wave theory or the coupled wave theory neglecting second derivatives. In this work we will compare the results of the diffraction efficiencies of the first and second orders at second on-Bragg replay angular condition, obtained by using an analytical formula provided by Alferness using an approximate thin-matrix decomposition method (TMDM) with the results obtained by using the RCWT. Good agreement between the results obtained using TMDM and the RCWT were found.
Document Type: Research Article
Affiliations: 1: Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal, Universidad de Alicante, Ap. 99, E-03080 Alicante, Spain 2: Departamento Interuniversitario de Óptica, Universidad de Alicante, Apartado 99, E-03080 Alicante, Spain
Publication date: March 1, 2004