Abstract

A new beam-propagation method is presented whereby the Padé approximant wide-angle propagation operator is factored into a series of simpler Padé (1, 1) operators, thus leading naturally to a multistep method whose component steps are each solvable by using readily available paraxiallike solution techniques. The resulting method allows accurate approximations to true Helmholtz propagation while incurring only a modest numerical penalty. In addition, the tridiagonal form of the component steps allows the straightforward use of the previously reported transparent boundary condition.

© 1992 Optical Society of America

Wide-angle beam propagation using Padé approximant operators

G. Ronald Hadley
Opt. Lett. 17(20) 1426-1428 (1992)

The complex Jacobi iterative method for three-dimensional wide-angle beam propagation

Khai Q. Le, R. Godoy-Rubio, Peter Bienstman, and G. Ronald Hadley
Opt. Express 16(21) 17021-17030 (2008)

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

Khai Q. Le and Peter Bienstman
J. Opt. Soc. Am. B 26(2) 353-356 (2009)

A simple three dimensional wide-angle beam propagation method

Changbao Ma and Edward Van Keuren
Opt. Express 14(11) 4668-4674 (2006)

Limitations of the wide-angle beam propagation method in nonuniform systems

Charles Vassallo
J. Opt. Soc. Am. A 13(4) 761-770 (1996)