Efficient interface conditions for the finite difference beam propagation method

Abstract

Abstract-It is shown that, by adapting the refractive indexes prerequisite for the use of the FDBPM algorithm. We remark in the vicinity of interfaces, the ZD-beam propagation method based On the finite difference (FDBPM) scheme can be made much more effective. This holds especially for TM modes propagating in structures with high-index contrasts, such as surface

A COST 240 benchmark test for beam propagation methods applied to an electrooptical modulator based on surface plasmons

“…Close to interfaces the effective interface conditions (EIC's) mentioned above use corrections in the standard three-point FD operator for the second-order derivative, which take into account the continuity of and the discontinuity of More or less equivalent expressions for the corrected FD operator can be found in the literature [10]- [13]. Besides the EIC's for the dielectric media, the MoL of Fern Universität uses analytical functions in the metal layers.…”

On the accuracy of the finite difference method for applications in beam propagating techniques

“…Results of simulations, using the formulae given above and the interface conditions according to ref. [4], are given in fig. 1.…”

“…Using the slowly varying envelope approximation (SVEA), the computation time can be greatly reduced. However, this approximation causes considerable errors if the effective indices of the various modes involved differ too much [ 4 ]. In this paper we aim to show that these errors can be overcome to any extend in a simple way without much increase in computation time.…”

“…In the SVEA the last two terms at the rhs are usually neglected [1][2][3][4]. Then, the resulting matrix equation…”

Beam-propagation method for second-harmonic generation in waveguides with birefringent materials

“…This choice gives slightly more accurate results if compared with Ref. 15. But, more important, it allows us also to treat the case of a very thin layer containing only one mesh point with the same accuracy.…”