OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 29, Iss. 12 — Apr. 20, 1990
  • pp: 1772–1779

Geometric optics analysis of modal propagation in graded-index cylindrical fiber

Bogdan Szafraniec and Bruce E. Briley  »View Author Affiliations

Applied Optics, Vol. 29, Issue 12, pp. 1772-1779 (1990)

View Full Text Article

Enhanced HTML    Acrobat PDF (801 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Methods of geometric optics are used to characterize a multimode optical fiber. The discrete propagation modes are derived by applying the phase resonance constraint to equations of constant phase surfaces. This constraint provides a very clear geometrical interpretation of discrete propagation modes, and provides a link between the well known Wentzel, Kramers, Brillouin (WKB) method and geometric optics.

© 1990 Optical Society of America

Original Manuscript: November 28, 1988
Published: April 20, 1990

Bogdan Szafraniec and Bruce E. Briley, "Geometric optics analysis of modal propagation in graded-index cylindrical fiber," Appl. Opt. 29, 1772-1779 (1990)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Ankiewicz, “Comparison of Wave and Ray Techniques for Solution of Graded Index Optical Waveguide Problems,” Optica Acta 25, 361–375 (1978). [CrossRef]
  2. J. P. Gordon, “Optics of General Guiding Media,” Bell Syst. Tech. J.321–331 (1966).
  3. D. Gloge, E. A. J. Marcatili, “Impulse Response of Fibers With Ring-Shaped Parabolic Index Distribution,” Bell Syst. Tech. J. 52, 1161–1168 (1973).
  4. D. Glóbge, E. A. J. Marcatili, “Multimode Theory of Graded- Core Fiber,” Bell Syst. Tech. J. 52, 1563–1578 (1973).
  5. R. Olshansky, D. B. Keck, “Pulse Broadening in Graded- Index Optical Fibers,” Appl. Phys. 15, 483–491 (1976).
  6. R. Olshansky, “Propagation in Glass Optical Waveguides,” Rev. Mod. Phys. 51, 341–367 (1979). [CrossRef]
  7. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, Cincinnati, 1982).
  8. M. J. Adams, An Introduction to Optical Waveguides (Wiley, Chichester, New York, 1981).
  9. A. H. Cherin, An Introduction to Optical Fibers (McGraw-Hill, New York, St. Louis, 1983).
  10. D. L. LeeElectromagnetic Principles of Integrated Optics (Wiley, New York, Chichester, 1986).
  11. A. Ankiewicz, C. Pask, “Geometric Optics Approach to Light Acceptance and Propagation in Graded Index Fibers,” Opt. Quant. Electron. 9, 87–109 (1977). [CrossRef]
  12. S. Cornbleet, Microwave and Optical Ray Geometry (Wiley, Chichester, New York, 1984).
  13. K. Luneburg, Mathematical Theory of Optics (U. of California Press, Berkeley, 1964).
  14. E. W. Marchand, Gradient Index Optics (Academic, New York, San Francisco, 1978).

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited