OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 25, Iss. 11 — Jun. 1, 1986
  • pp: 1759–1764

Recursive numerical solution for nonlinear wave propagation in fibers and cylindrically symmetric systems

Sami T. Hendow and Sami A. Shakir  »View Author Affiliations

Applied Optics, Vol. 25, Issue 11, pp. 1759-1764 (1986)

View Full Text Article

Enhanced HTML    Acrobat PDF (630 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An efficient and compact recursive numerical solution of the wave equation is developed and applied to cylindrically symmetric optical systems. Numerical results are given for wave propagation through an aperture and in linear and nonlinear optical fibers. This code is most useful for multiwave mixing and wave propagation in nonlinear media.

© 1986 Optical Society of America

Original Manuscript: February 15, 1986
Published: June 1, 1986

Sami T. Hendow and Sami A. Shakir, "Recursive numerical solution for nonlinear wave propagation in fibers and cylindrically symmetric systems," Appl. Opt. 25, 1759-1764 (1986)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  2. A. G. Fox, T. Li, “Resonant Modes in a Maser Interferometer,” Bell Syst. Tech. J. 40, 453 (1961).
  3. G. N. Lawrence, P. N. Wolfe, “Applications of the LOTS Computer Code to Laser Fusion Systems and Other Physical Optics Problems,” Proc. Soc. Photo-Opt. Instrum. Eng. 190, 238 (1979).
  4. W. J. Tomlinson, J. P. Gordon, P. W. Smith, A. E. Kaplan, “Reflection of a Gaussian Beam at a Nonlinear Interface,” Appl. Opt. 21, 2041 (1982) and references therein. [CrossRef] [PubMed]
  5. W. J. Tomlinson, R. H. Stolen, A. M. Johnson, “Optical Wave Breaking of Pulses in Nonlinear Optical Fibers,” Opt. Lett. 10, 457 (1985). [CrossRef] [PubMed]
  6. J. A. Fleck, R. R. Morris, E. S. Bliss, “Small Scale Self-Focusing Effects in a High Power Glass Laser Amplifier,” IEEE J. Quantum Electron. QE-14, 353 (1978) and references therein. [CrossRef]
  7. A. E. Siegman, “Quasi fast Hankel Transform,” Opt. Lett. 1, 13 (1977). [CrossRef] [PubMed]
  8. M. Lax et al., “Electromagnetic Field Distribution in Loaded Unstable Resonators,” J. Opt. Soc. Am. A 2, 731 (1985). [CrossRef]
  9. A. Goldberg, H. M. Schey, J. L. Schwarz, “Computer-Generated Motion Pictures of One-Dimensional Quantum-Mechanical Transmission and Reflection Phenomena,” Am. J. Phys. 35, 177 (1967). [CrossRef]
  10. K. Druhl, S. A. Shakir, M. Yusuf, “Stokes Beam Parameters at Large Gain for Focused Pump Beams,” Opt. Lett. (July1986).
  11. Y. Li, H. Platzer, “An Experimental Investigation of Diffraction Patterns on Low-Fresnel-Number Focusing Systems,” Opt. Acta 30, 1621 (1983). [CrossRef]
  12. C. T. Seaton, J. E. Valera, R. L. Shoemaker, G. I. Stegeman, J. T. Chilwell, S. D. Smith, “Calculation of Nonlinear TE Waves Guided by Thin Dielectric Films Bounded by Nonlinear Media,” IEEE J. Quantum Electron. QE-21, 774 (1985). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited