High-precision computation of optical propagation in inhomogeneous waveguides

In this paper, based on a new treatment for local base transformation, a modified operator marching method is provided to accurately compute optical propagation in the inhomogeneous waveguide terminated by a perfectly matched layer. Compared with the adjoint operator method (AOM), high-precision results of the optical propagation can be obtained in numerical simulations, which demonstrate that the new treatment is much better than the AOM. This technique is helpful to optimize the designs of the optical waveguides and the integrated optics devices.