Analysis of integrated optical waveguides: Variational method and effective-index method with built-in perturbation correction

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 18, Issue 6, 2001, Pages 1383-1387

  Sharma, Anurag ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHODS; MODAL ANALYSIS; OPTICAL WAVEGUIDES; PERTURBATION TECHNIQUES; RECTANGULAR WAVEGUIDES;

PERTURBATION CORRECTION;

INTEGRATED OPTICS;

EID: 0038721668     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.18.001383     Document Type: Article

References (27)

1. E. A. J. Marcatili, “Dielectric rectangular waveguide and directional coupler for integrated optics,” Bell Syst. Tech. J. 48, 2071-2102 (1969).
2. G. B. Hocker and W. K. Burns, “Mode dispersion in diffused channel waveguides by the effective index method,” Appl. Opt. 16, 113-118 (1977).
3. A. Kumar, K. Thyagarajan, and A. K. Ghatak, “Analysis of rectangular-core dielectric waveguides: An accurate perturbation approach,” Opt. Lett. 8, 63-65 (1983).
4. A. Sharma, P. K. Mishra, and A. K. Ghatak, “Analysis of single mode waveguides and directional couplers with rectangular cross section,” in Proceedings of the Second European Conference on Integrated Optics (Institute of Electrical Engineers, London, 1983), pp. 9-12.
5. P. K. Mishra, A. Sharma, S. Labroo, and A. K. Ghatak, “Scalar variational analysis of single-mode waveguides with rectangular cross-section,” IEEE Trans. Microwave Theory Tech. MTT-33, 282-286 (1985).
6. A. Sharma, P. K. Mishra, and 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).
7. A. Sharma, “On approximate theories of single mode rectangular waveguides,” Opt. Quantum Electron. 21, 517-520 (1989).
8. A. Sharma and P. Bindal, “An accurate variational analysis of single mode diffused channel waveguides,” Opt. Quantum Electron. 24, 1359-1371 (1992).
9. P. C. Kendall, M. J. Adams, S. Ritchie, and M. J. Robertson, “Theory for calculating approximate values of the propagation constant of an optical rib waveguide by weighting the refractive index,” IEE Proc. A 134, 699-702 (1987).
10. F. P. Payne, “A new theory of rectangular optical waveguides,” Opt. Quantum Electron. 14, 525-537 (1982).
11. F. P. Payne, “A generalised transverse resonance model for planar optical waveguides,” presented at the Tenth European Conference on Optical Communications, Stuttgart, Germany, September 3-6, 1984.
12. D. A. Roberts and M. S. Stern, “Accuracy of method of moments and weighted index method,” Electron. Lett. 23, 474-475 (1987).
13. She Shouxian, “Analysis of rectangular-core waveguide structures and directional couplers by an iterated moments method,” Opt. Quantum Electron. 20, 125-136 (1988).
14. T. M. Benson and P. C. Kendall, “Variational techniques in-cluding effective and weighted index methods,” in Progress in Electromagnetic Research (EMW, Cambridge, Mass., 1995), Vol. 10, pp. 1-40.
15. K. S. Chiang, “Review of numerical and approximate methods for the modal analysis of general optical dielectric waveguides,” Opt. Quantum Electron. 26, S113-S134 (1994).
16. K. S. Chiang, “Dual effective-index method for the analysis of rectangular dielectric waveguides,” Appl. Opt. 25, 2169-2174 (1986).
17. K. S. Chiang, “Performance of the effective-index method for the analysis of dielectric waveguides,” Opt. Lett. 16, 714-716 (1991).
18. K. S. Chiang, “Effective-index method for the analysis of op-tical waveguide couplers and arrays: An asymptotic theory,” J. Lightwave Technol. 9, 62-72 (1991).
19. K. S. Chiang, “Analysis of rectangular dielectric waveguides: Effective-index method with built-in perturbation correction,” Electron. Lett. 28, 388-389 (1992).
20. K. S. Chiang, K. M. Lo, and K. S. Kwok, “Effective-index method with built-in perturbation correction for integrated optical waveguides,” J. Lightwave Technol. 14, 223-228 (1996).
21. K. S. Chiang, K. S. Kwok, and K. M. Lo, “Effective-index method with built-in perturbation correction for the vector modes rectangular-core optical waveguides,” J. Lightwave Technol. 17, 716-722 (1999).
22. J. P. Meunier, Laboratoire de Traitement du Signal et Instrumentation, UMR CNRS 5516, Faculte des Sciences et Techniques, University Jean Monnet, 42023 Saint-Etienne Cedex 2, France (personal communication, May, 2000).
23. A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, and A. B. Sotskii, “Methods for approximate variable separation in the theory of weakly inhomogeneous optical waveguides (review),” Zh. Prikl. Spektrosk. 45, 7-16 (1986).
24. A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, and A. B. Sotskii, [published in English in J. Appl. Spectrosc. 54, 663-667 (1987)].
25. R. J. Black and A. Ankiewicz, “Fiber-optic analogies with mechanics,” Am. J. Phys. 53, 554-563 (1985).
26. P. A. M. Dirac, Principles of Quantum Mechanics (Oxford U. Press, Oxford, UK, 1958).
27. L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1968).