Abstract

We demonstrate accurate modeling of ultrawide-angle beam propagation in homogeneous media by Lanczos orthogonalization for acceptable longitudinal step sizes. Accuracy is determined by comparison with solutions to the Helmholtz equation obtained by a band-limited Fourier series method.

© 1994 Optical Society of America

Accurate solution of the Helmholtz equation by Lanczos orthogonalization for media with loss or gain

R. P. Ratowsky, J. A. Fleck, and M. D. Feit
Opt. Lett. 17(1) 10-12 (1992)

Accurate numerical solution of the Helmholtz equation by iterative Lanczos reduction

R. P. Ratowsky and J. A. Fleck
Opt. Lett. 16(11) 787-789 (1991)

Nonparaxial propagation of a cylindrical beam with Lanczos reduction

Q. Luo and C. T. Law
Opt. Lett. 25(12) 869-871 (2000)

Helmholtz beam propagation in rib waveguides and couplers by iterative Lanczos reduction

R. P. Ratowsky, J. A. Fleck, and M. D. Feit
J. Opt. Soc. Am. A 9(2) 265-273 (1992)

Propagation of nonparaxial beams with a modified Arnoldi method

Q. Luo and C. T. Law
Opt. Lett. 26(21) 1708-1710 (2001)