Three-dimensional full-vector analysis of optical waveguides by finite-integration beam-propagation method (FIBPM)

In the paper a novel finite-integration beam-propagation method (FIBPM) is presented. This method is especially suited for the simulation of optical waveguides containing extremely thin layers of complex permittivity. For calculating the propagating optical field an efficient algorithm based on expansion of the matrix exponential in Chebȳshev polynomials is applied. The derivation of the propagation algorithm is given, also detailing the convergence criteria. A code for a massively parallel computer has been developed and applied successfully to complex waveguide structures used for high-power laser diodes.