Wide-angle beam propagation method without using slowly varying envelope approximation

Khai Q. Le, Peter Bienstman
2009 Journal of the Optical Society of America. B, Optical physics  
A new wide-angle (WA) beam propagation method (BPM) is developed whereby the exact scalar Helmholtz propagator is replaced by any one of a sequence of higher-order ͑m , n͒ Padé approximant operators. Unlike the previous well-known WA-BPM proposed by Hadley [Opt. Lett. 17, 1426], the resulting formulations allow one a direct solution of the second-order scalar wave equation without having to make slowly varying envelope approximations so that the WA formulations are completely general. The
more » ... general. The accuracy and improvement of this approximate calculation of the propagator is demonstrated in comparison with the exact result and existing approximate approaches. The method is employed to simulate two-dimensional (2D) and three-dimensional (3D) optical waveguides and compared with the results obtained by the existing approach.
doi:10.1364/josab.26.000353 fatcat:4pnprlceqfhfnee4fhfwkpl7om