An algorithm which allows the analysis of optical periodic structures with a very large number of periods with minimum numerical problems is presented. For this purpose the stable impedance transfer is combined with Floquet's theorem. Numerical results for a Bragg grating with up to 20000 periods are presented featuring the very moderate numerical effort.
Stefan F. Helfert and Reinhold Pregla, "Efficient Analysis of Periodic Structures," J. Lightwave Technol. 16, 1694- (1998)