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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 17, Iss. 20 — Oct. 15, 1992
  • pp: 1426–1428

Wide-angle beam propagation using Padé approximant operators

G. Ronald Hadley  »View Author Affiliations


Optics Letters, Vol. 17, Issue 20, pp. 1426-1428 (1992)
http://dx.doi.org/10.1364/OL.17.001426


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Abstract

A new beam-propagation method is presented whereby the exact scalar Helmholtz propagation operator is replaced by any one of a sequence of higher-order (n, n) Padé approximant operators. The resulting differential equation may then be discretized to obtain (in two dimensions) a matrix equation of bandwidth 2n + 1 that is solvable by using Standard implicit solution techniques. The final algorithm allows (for n = 2) accurate propagation at angles of greater than 55 deg from the propagation axis as well as propagation through materials with widely differing indices of refraction.

© 1992 Optical Society of America

History
Original Manuscript: May 13, 1992
Published: October 15, 1992

Citation
G. Ronald Hadley, "Wide-angle beam propagation using Padé approximant operators," Opt. Lett. 17, 1426-1428 (1992)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-17-20-1426

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