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
Original Manuscript: July 27, 1992
Published: December 15, 1992
G. Ronald Hadley, "Multistep method for wide-angle beam propagation," Opt. Lett. 17, 1743-1745 (1992)