In order to numerically solve the wave equation in integrated optics devices, the implementation of appropriate boundary conditions should be a key issue. In this work, we formulate the perfectly matched layer boundary condition, introduced by Bérenger [J. Comput. Phys. 114 (1994) 185], for operation in the scalar bidimensional finite difference beam propagation method (FD-BPM). With this boundary condition, a high absorption of outgoing waves along the propagation direction is achieved. To test the operation of Bérenger layers, two numerical experiments have been performed: the propagation of a Gaussian beam in vacuum and the propagation of a guided mode in a slab waveguide. © 1999 Elsevier Science B.V. All rights reserved.
|Publication status||Published - 1 Jan 1999|
- Boundary value problems
- Integrated optics
- Optical propagation
- Optical waveguide theory