OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 4 — Apr. 1, 2006
  • pp: 866–871

Boundaryless finite-difference method for three-dimensional beam propagation

Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega  »View Author Affiliations


JOSA A, Vol. 23, Issue 4, pp. 866-871 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000866


View Full Text Article

Enhanced HTML    Acrobat PDF (211 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A two-dimensional optical field paraxial propagation scheme, in Cartesian and cylindrical coordinate systems, is proposed. This is achieved by extending the method originally proposed by Ladouceur [Opt. Lett. 21, 4 (1996) ] for boundaryless beam propagation to two-dimensional optical wave fields. With this formulation the arbitrary choice of physical window size is avoided by mapping the infinite transverse dimensions into a finite-size domain with an appropriate change of variables, thus avoiding the energy loss through the artificial physical boundary that is usually required for the absorbing or the transparent boundary approach.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 8, 2005
Revised Manuscript: October 14, 2005
Manuscript Accepted: October 20, 2005

Citation
Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega, "Boundaryless finite-difference method for three-dimensional beam propagation," J. Opt. Soc. Am. A 23, 866-871 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-4-866


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. D. Feit and J. A. Fleck, "Light propagation in graded-index optical fibers," Appl. Opt. 17, 3990-3998 (1978). [CrossRef] [PubMed]
  2. G. Mur, "Absorbing boundary conditions for finite-difference approximation of the time-domain electromagnetic field equations," IEEE Trans. Electromagn. Compat. 23, 377-382 (1981). [CrossRef]
  3. G. R. Hadley, "Transparent boundary condition for beam propagation," Opt. Lett. 16, 624-626 (1991). [CrossRef] [PubMed]
  4. Y. Arai, A. Maruta, and M. Matsuhara, "Transparent boundary for the finite-element beam-propagation method," Opt. Lett. 18, 765-767 (1993). [CrossRef] [PubMed]
  5. F. Ladouceur, "Boundaryless beam propagation," Opt. Lett. 21, 4-5 (1996). [CrossRef] [PubMed]
  6. J. Shibayama, K. Matsubara, M. Sekiguchi, J. Yamauchi, and H. Nakano, "Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods," J. Lightwave Technol. 17, 677-683 (1999). [CrossRef]
  7. S. J. Hewlett and F. Ladouceur, "Fourier decomposition method applied to mapped infinite domains: scalar analysis of dielectric waveguides down to modal cutoff," J. Lightwave Technol. 13, 375-383 (1995). [CrossRef]
  8. K. M. Lo and E. H. Li, "Solutions of the quasi-vector wave equation for optical waveguides in a mapped infinite domains by the Galerkin's method," J. Lightwave Technol. 16, 937-944 (1998). [CrossRef]
  9. C. Pozrikidis, Numerical Computation in Science and Engineering (Oxford U. Press, 1998).
  10. J. C. Gutiérrez-Vega and M. A. Bandres, "Helmholtz-Gauss waves," J. Opt. Soc. Am. A 22, 289-298 (2005). [CrossRef]
  11. M. Guizar-Sicairos and J. C. Gutiérrez-Vega, "Computation of quasi-discrete Hankel transforms of integer order for propagating optical wavefields," J. Opt. Soc. Am. A 21, 53-58 (2004). [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.

Figures

Fig. 1 Fig. 2
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited