OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 24 — Aug. 20, 1994
  • pp: 5642–5649

Application of the variational-moment method to symmetric and nonsymmetric waveguides

Yoav Boim and Amos Hardy  »View Author Affiliations


Applied Optics, Vol. 33, Issue 24, pp. 5642-5649 (1994)
http://dx.doi.org/10.1364/AO.33.005642


View Full Text Article

Enhanced HTML    Acrobat PDF (680 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The variational-moment method is used to demonstrate the calculation of propagation constants for optical waveguides with arbitrary index profiles. For simplicity, and for comparison with exact numerical solutions, only a few one-dimensional structures are considered. Examples include symmetric and nonsymmetric waveguides. Good agreement with the exact numerical solutions is obtained in most cases, even for the nonsymmetric waveguides.

© 1994 Optical Society of America

History
Original Manuscript: March 26, 1993
Revised Manuscript: January 24, 1994
Published: August 20, 1994

Citation
Yoav Boim and Amos Hardy, "Application of the variational-moment method to symmetric and nonsymmetric waveguides," Appl. Opt. 33, 5642-5649 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-24-5642


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. M. Knox, P. P. Toulies, “Integrate circuits for the millimeter through optical frequency range,” in Technical Digest of the Symposium on Submillimeter Waves (Polytechnic Institute of Brooklyn, Brooklyn, N.Y., 1970), pp. 497–516.
  2. S. Ruschin, “Approximate formula for the propagation constant of the basic mode in slab waveguides of arbitrary index profiles,” Appl. Opt. 24, 4189–4191 (1985). [CrossRef] [PubMed]
  3. H. Matsumura, T. Suganuma, “Normalization of single-mode fibers having an arbitrary index profile,” Appl. Opt. 19, 3151–31581980). [CrossRef] [PubMed]
  4. C. D. Hussey, C. Pask, “Theory of the profile-moments description of single mode fibers,” Proc. Inst. Electr. Eng. Part H 129, 123–134 (1982).
  5. R. J. Black, C. Pask, “Slab waveguides characterized by moments of the index profile,” IEEE J. Quantum Electron. QE-20, 996–999 (1984). [CrossRef]
  6. H. Kogelnik, “Theory of optical waveguides,” in Guided-Waves Optoelectronics, T. Tamir, ed. (Springer-Verlag, Berlin, 1988), pp. 7–88. [CrossRef]
  7. A. Sharma, P. Bindal, “An accurate variational analysis of single mode channel wave-guides,” Opt. Quantum Electron. 24, 1359–1371 (1992). [CrossRef]
  8. A. Sharma, P. K. Mishra, A. K. Ghatak, “Single mode optical waveguides and directional couplers with rectangular cross section: a simple and accurate method of analysis,” J. Lightwave Technol. 6, 1119–1125 (1988). [CrossRef]
  9. P. K. Mishra, A. Sharma, “Analysis of single mode inhomogeneous planar waveguides,” J. Lightwave Technol. 4, 204–212 (1986). [CrossRef]
  10. A. Hardy, M. Itzkowitz, G. Griffel, “Use of a variational moment method in calculating propagation constants for waveguides with an arbitrary index profile,” Appl. Opt. 28, 1910–1913 (1989). [CrossRef] [PubMed]
  11. I. S. Gradshteyn, I. M. Ryghik, Table of Integrals Series and Products (Academic, New York, 1980).
  12. Q. Li, J. Wang, “A modified ray-optic method for arbitrary dielectric waveguides,” IEEE J. Quantum Electron. 28, 2721–2727 (1992). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited