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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 14, Iss. 13 — Jul. 1, 1989
  • pp: 662–664

Simple spectral method for solving propagation problems in cylindrical geometry with fast Fourier transforms

M. D. Feit and J. A. Fleck, Jr.  »View Author Affiliations


Optics Letters, Vol. 14, Issue 13, pp. 662-664 (1989)
http://dx.doi.org/10.1364/OL.14.000662


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Abstract

We describe a spectral method for solving the paraxial wave equation in cylindrical geometry that is based on expansion of the exponential evolution operator in a Taylor series and use of fast Fourier transforms to evaluate derivatives. A fourth-order expansion gives excellent agreement with a two-transverse-dimensional split-operator calculation at a fraction of the cost in computation time per z step and at a considerable savings in storage.

© 1989 Optical Society of America

History
Original Manuscript: February 3, 1989
Manuscript Accepted: April 6, 1989
Published: July 1, 1989

Citation
M. D. Feit and J. A. Fleck, "Simple spectral method for solving propagation problems in cylindrical geometry with fast Fourier transforms," Opt. Lett. 14, 662-664 (1989)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-14-13-662


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References

  1. J. A. Fleck, J. R. Morris, M. D. Feit, Appl. Phys. 10, 129 (1976). [CrossRef]
  2. A. E. Siegman, Opt. Lett. 1, 13 (1977). [CrossRef] [PubMed]
  3. D. G. Gardner, J. C. Gardner, G. Lausch, W. W. Meinke, J. Chem. Phys. 31, 987 (1959). [CrossRef]
  4. S.-C. Sheng, “Studies of laser resonators and beam propagation using fast transform methods,” Ph.D. dissertation (Department of Applied Physics, Stanford University, 1980);G. P. Agrawal, M. Lax, Opt. Lett. 6, 171 (1981). [CrossRef] [PubMed]
  5. M. D. Feit, J. A. Fleck, Appl. Opt. 19, 1154, 3140 (1980). [CrossRef] [PubMed]
  6. M. D. Feit, J. A. Fleck, A. Steiger, J. Comput. Phys. 47, 412 (1982). [CrossRef]

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