R. Stoffer et al., New true fourth-order accurate scalar beam propagation methods for both TEand TM polarization, OPT QUANT E, 31(9-10), 1999, pp. 705-720
New 2D scalar beam propagation methods for both TE and TM polarization are
presented. Both second- and fourth-order accurate schemes, in the lateral s
tepsize, are shown. The methods use uniform discretization and can handle a
rbitrary positions of interfaces between materials with different refractiv
e indices. Either Transparent Boundary Conditions or Perfectly Matched Laye
rs are used at the boundary of the computational window.