We present a stable and efficient method for the Bloch-mode computation of one-dimensional grating waveguides. The approach uses the Fourier modal method and the <b>S</b>-matrix algorithm to remove numerical instabilities. The use of perfectly matched layers provide a high accuracy. Numerical results obtained for different lamellar grating waveguides and for both TE and TM polarizations illustrate the performance of the approach.
© 2002 Optical Society of America
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(130.2790) Integrated optics : Guided waves
(230.7390) Optical devices : Waveguides, planar
(350.5500) Other areas of optics : Propagation
Qing Cao, Philippe Lalanne, and Jean-Paul Hugonin, "Stable and efficient Bloch-mode computational method for one-dimensional grating waveguides," J. Opt. Soc. Am. A 19, 335-338 (2002)