Abstract
Splitting scalar fields into a sum of counterpropagating waves leads to formulation of the Helmholtz equation as two coupled parabolic partial differential equations. This rigorous formalism naturally leads to the beam-propagation method (BPM) equation when the backward-propagating field is neglected, but it also permits discussion of various corrections. Two problems specifically are analyzed: wide-angle propagation in near-uniform systems and propagation through lenslike systems, with a strongly discontinuous refractive index. Finally, a BPM modeling is proposed for fiber microlens operation.
© 1993 Optical Society of America
Full Article | PDF ArticleMore Like This
Charles Vassallo
J. Opt. Soc. Am. A 13(4) 761-770 (1996)
G. Hugh Song
J. Opt. Soc. Am. A 10(5) 896-904 (1993)
Anju Taneja and Anurag Sharma
J. Opt. Soc. Am. A 10(8) 1739-1745 (1993)