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

  • Vol. 18, Iss. 3 — Mar. 1, 2001
  • pp: 650–656

Complex ray-tracing algorithms with application to optical problems

Roman A. Egorchenkov and Yury A. Kravtsov  »View Author Affiliations


JOSA A, Vol. 18, Issue 3, pp. 650-656 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000650


View Full Text Article

Enhanced HTML    Acrobat PDF (167 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We suggest a numerical algorithm for complex ray tracing. Such an algorithm is intended for the computation of a wave field in the framework of complex geometrical optics. The main advantage of the complex method is the possibility to take into account diffraction effects by use of only ordinary differential equations of geometrical optics, thus reducing the calculation time. The efficiency of the suggested algorithm is illustrated by several numerical examples that allow comparison with known analytic solutions: the field of a plane wave behind a caustic in a linear layer, uniform field asymptotics on a caustic in a linear layer, and a Gaussian beam field in a homogeneous medium. It is pointed out that the approach under consideration can be readily applied to a great variety of real wave problems that have an analytical solution: nonplane waves, nonplane-stratified media, and the like. In particular, a numerical solution for Gaussian beam propagation through inhomogeneities of Gaussian form is presented.

© 2001 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(260.1960) Physical optics : Diffraction theory

History
Original Manuscript: April 11, 2000
Revised Manuscript: October 2, 2000
Manuscript Accepted: October 2, 2000
Published: March 1, 2001

Citation
Roman A. Egorchenkov and Yury A. Kravtsov, "Complex ray-tracing algorithms with application to optical problems," J. Opt. Soc. Am. A 18, 650-656 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-3-650


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. Yu. A. Kravtsov, G. W. Forbes, A. A. Asatryan, “Theory and applications of complex rays,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1999), Vol. XXXIX, pp. 1–62.
  2. Yu. A. Kravtsov, “Complex rays and complex caustics,” Radiophys. Quantum Electron. 10, 719–730 (1967). [CrossRef]
  3. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975).
  4. Yu. A. Kravtsov, Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, Berlin, 1990).
  5. Yu. A. Kravtsov, Yu. I. Orlov, Caustics, Catastrophes and Wave Fields. 2nd ed. (Springer-Verlag, Berlin, 1998).
  6. R. A. Egorchenkov, Yu. A. Kravtsov, “Numerical realization of complex geometrical optics method,” Izv. Vyssh. Uchebn. Zaved. Radiodizika 43, 630–637 (2000) [English translation in Radiophys. Quantum Electron. 43, 512–517 (2000)].
  7. E. Poli, G. V. Pereverzev, A. G. Peeters, “Paraxial Gaussian wave beam propagation in an anisotropic inhomogeneous plasma,” Phys. Plasmas 6, 5–11 (1999). [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 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited