K. S. Chiang, K. M. Lo, K. S. Kwok, “Effective-index method with built-in perturbation correction for integrated optical waveguides,” J. Lightwave Technol. 14, 223–228 (1996).

[CrossRef]

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).

[CrossRef]

A. Sharma, P. Bindal, “An accurate variational analysis of single mode diffused channel waveguides,” Opt. Quantum Electron. 24, 1359–1371 (1992).

[CrossRef]

K. S. Chiang, “Analysis of rectangular dielectric waveguides: effective-index method with built-in perturbation correction,” Electron. Lett. 28, 388–389 (1992).

[CrossRef]

A. Sharma, “On approximate theories of single mode rectangular waveguides,” Opt. Quantum Electron. 21, 517–520 (1989).

[CrossRef]

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]

She Shouxian, “Analysis of rectangular-core waveguide structures and directional couplers by an iterated moments method,” Opt. Quantum Electron. 20, 125–136 (1988).

[CrossRef]

P. C. Kendall, M. J. Adams, S. Ritchie, 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).

D. A. Roberts, M. S. Stern, “Accuracy of method of moments and weighted index method,” Electron. Lett. 23, 474–475 (1987).

[CrossRef]

A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, A. B. Sotskii, “Methods for approximate variable separation in the theory of weakly inhomogeneous optical waveguides (review),” Zh. Prikl. Spektrosk. 45, 7–16 (1986) [published in English in J. Appl. Spectrosc. 54, 663–667 (1987)].

K. S. Chiang, “Dual effective-index method for the analysis of rectangular dielectric waveguides,” Appl. Opt. 25, 2169–2174 (1986).

[CrossRef]
[PubMed]

R. J. Black, A. Ankiewicz, “Fiber-optic analogies with mechanics,” Am. J. Phys. 53, 554–563 (1985).

[CrossRef]

P. K. Mishra, A. Sharma, S. Labroo, A. K. Ghatak, “Scalar variational analysis of single-mode waveguides with rectangular cross-section,” IEEE Trans. Microwave Theory Tech. MTT-33, 282–286 (1985).

[CrossRef]

F. P. Payne, “A new theory of rectangular optical waveguides,” Opt. Quantum Electron. 14, 525–537 (1982).

[CrossRef]

E. A. J. Marcatili, “Dielectric rectangular waveguide and directional coupler for integrated optics,” Bell Syst. Tech. J. 48, 2071–2102 (1969).

[CrossRef]

P. C. Kendall, M. J. Adams, S. Ritchie, 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).

R. J. Black, A. Ankiewicz, “Fiber-optic analogies with mechanics,” Am. J. Phys. 53, 554–563 (1985).

[CrossRef]

T. M. Benson, P. C. Kendall, “Variational techniques including effective and weighted index methods,” in Progress in Electromagnetic Research (EMW, Cambridge, Mass., 1995), Vol. 10, pp. 1–40.

A. Sharma, P. Bindal, “An accurate variational analysis of single mode diffused channel waveguides,” Opt. Quantum Electron. 24, 1359–1371 (1992).

[CrossRef]

R. J. Black, A. Ankiewicz, “Fiber-optic analogies with mechanics,” Am. J. Phys. 53, 554–563 (1985).

[CrossRef]

K. S. Chiang, K. S. Kwok, 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).

[CrossRef]

K. S. Chiang, K. M. Lo, K. S. Kwok, “Effective-index method with built-in perturbation correction for integrated optical waveguides,” J. Lightwave Technol. 14, 223–228 (1996).

[CrossRef]

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).

[CrossRef]

K. S. Chiang, “Analysis of rectangular dielectric waveguides: effective-index method with built-in perturbation correction,” Electron. Lett. 28, 388–389 (1992).

[CrossRef]

K. S. Chiang, “Effective-index method for the analysis of optical waveguide couplers and arrays: an asymptotic theory,” J. Lightwave Technol. 9, 62–72 (1991).

[CrossRef]

K. S. Chiang, “Performance of the effective-index method for the analysis of dielectric waveguides,” Opt. Lett. 16, 714–716 (1991).

[CrossRef]
[PubMed]

K. S. Chiang, “Dual effective-index method for the analysis of rectangular dielectric waveguides,” Appl. Opt. 25, 2169–2174 (1986).

[CrossRef]
[PubMed]

P. A. M. Dirac, Principles of Quantum Mechanics (Oxford U. Press, Oxford, UK, 1958).

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]

P. K. Mishra, A. Sharma, S. Labroo, A. K. Ghatak, “Scalar variational analysis of single-mode waveguides with rectangular cross-section,” IEEE Trans. Microwave Theory Tech. MTT-33, 282–286 (1985).

[CrossRef]

A. Kumar, K. Thyagarajan, A. K. Ghatak, “Analysis of rectangular-core dielectric waveguides: an accurate perturbation approach,” Opt. Lett. 8, 63–65 (1983).

[CrossRef]
[PubMed]

A. Sharma, P. K. Mishra, 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.

A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, A. B. Sotskii, “Methods for approximate variable separation in the theory of weakly inhomogeneous optical waveguides (review),” Zh. Prikl. Spektrosk. 45, 7–16 (1986) [published in English in J. Appl. Spectrosc. 54, 663–667 (1987)].

A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, A. B. Sotskii, “Methods for approximate variable separation in the theory of weakly inhomogeneous optical waveguides (review),” Zh. Prikl. Spektrosk. 45, 7–16 (1986) [published in English in J. Appl. Spectrosc. 54, 663–667 (1987)].

P. C. Kendall, M. J. Adams, S. Ritchie, 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).

T. M. Benson, P. C. Kendall, “Variational techniques including effective and weighted index methods,” in Progress in Electromagnetic Research (EMW, Cambridge, Mass., 1995), Vol. 10, pp. 1–40.

K. S. Chiang, K. S. Kwok, 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).

[CrossRef]

K. S. Chiang, K. M. Lo, K. S. Kwok, “Effective-index method with built-in perturbation correction for integrated optical waveguides,” J. Lightwave Technol. 14, 223–228 (1996).

[CrossRef]

P. K. Mishra, A. Sharma, S. Labroo, A. K. Ghatak, “Scalar variational analysis of single-mode waveguides with rectangular cross-section,” IEEE Trans. Microwave Theory Tech. MTT-33, 282–286 (1985).

[CrossRef]

K. S. Chiang, K. S. Kwok, 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).

[CrossRef]

K. S. Chiang, K. M. Lo, K. S. Kwok, “Effective-index method with built-in perturbation correction for integrated optical waveguides,” J. Lightwave Technol. 14, 223–228 (1996).

[CrossRef]

E. A. J. Marcatili, “Dielectric rectangular waveguide and directional coupler for integrated optics,” Bell Syst. Tech. J. 48, 2071–2102 (1969).

[CrossRef]

J. P. Meunier, Laboratoire de Traitement du Signal et Instrumentation, UMR CNRS 5516, Faculte des Sciences et Techniques, Université Jean Monnet, 42023 Saint-Etienne Cedex 2, France (personal communication, May, 2000).

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]

P. K. Mishra, A. Sharma, S. Labroo, A. K. Ghatak, “Scalar variational analysis of single-mode waveguides with rectangular cross-section,” IEEE Trans. Microwave Theory Tech. MTT-33, 282–286 (1985).

[CrossRef]

A. Sharma, P. K. Mishra, 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.

A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, A. B. Sotskii, “Methods for approximate variable separation in the theory of weakly inhomogeneous optical waveguides (review),” Zh. Prikl. Spektrosk. 45, 7–16 (1986) [published in English in J. Appl. Spectrosc. 54, 663–667 (1987)].

F. P. Payne, “A new theory of rectangular optical waveguides,” Opt. Quantum Electron. 14, 525–537 (1982).

[CrossRef]

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.

P. C. Kendall, M. J. Adams, S. Ritchie, 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).

D. A. Roberts, M. S. Stern, “Accuracy of method of moments and weighted index method,” Electron. Lett. 23, 474–475 (1987).

[CrossRef]

P. C. Kendall, M. J. Adams, S. Ritchie, 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).

L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1968).

A. Sharma, P. Bindal, “An accurate variational analysis of single mode diffused channel waveguides,” Opt. Quantum Electron. 24, 1359–1371 (1992).

[CrossRef]

A. Sharma, “On approximate theories of single mode rectangular waveguides,” Opt. Quantum Electron. 21, 517–520 (1989).

[CrossRef]

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]

P. K. Mishra, A. Sharma, S. Labroo, A. K. Ghatak, “Scalar variational analysis of single-mode waveguides with rectangular cross-section,” IEEE Trans. Microwave Theory Tech. MTT-33, 282–286 (1985).

[CrossRef]

A. Sharma, P. K. Mishra, 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.

She Shouxian, “Analysis of rectangular-core waveguide structures and directional couplers by an iterated moments method,” Opt. Quantum Electron. 20, 125–136 (1988).

[CrossRef]

A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, A. B. Sotskii, “Methods for approximate variable separation in the theory of weakly inhomogeneous optical waveguides (review),” Zh. Prikl. Spektrosk. 45, 7–16 (1986) [published in English in J. Appl. Spectrosc. 54, 663–667 (1987)].

D. A. Roberts, M. S. Stern, “Accuracy of method of moments and weighted index method,” Electron. Lett. 23, 474–475 (1987).

[CrossRef]

R. J. Black, A. Ankiewicz, “Fiber-optic analogies with mechanics,” Am. J. Phys. 53, 554–563 (1985).

[CrossRef]

E. A. J. Marcatili, “Dielectric rectangular waveguide and directional coupler for integrated optics,” Bell Syst. Tech. J. 48, 2071–2102 (1969).

[CrossRef]

K. S. Chiang, “Analysis of rectangular dielectric waveguides: effective-index method with built-in perturbation correction,” Electron. Lett. 28, 388–389 (1992).

[CrossRef]

D. A. Roberts, M. S. Stern, “Accuracy of method of moments and weighted index method,” Electron. Lett. 23, 474–475 (1987).

[CrossRef]

P. C. Kendall, M. J. Adams, S. Ritchie, 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).

P. K. Mishra, A. Sharma, S. Labroo, A. K. Ghatak, “Scalar variational analysis of single-mode waveguides with rectangular cross-section,” IEEE Trans. Microwave Theory Tech. MTT-33, 282–286 (1985).

[CrossRef]

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]

K. S. Chiang, K. M. Lo, K. S. Kwok, “Effective-index method with built-in perturbation correction for integrated optical waveguides,” J. Lightwave Technol. 14, 223–228 (1996).

[CrossRef]

K. S. Chiang, “Effective-index method for the analysis of optical waveguide couplers and arrays: an asymptotic theory,” J. Lightwave Technol. 9, 62–72 (1991).

[CrossRef]

K. S. Chiang, K. S. Kwok, 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).

[CrossRef]

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).

[CrossRef]

A. Sharma, “On approximate theories of single mode rectangular waveguides,” Opt. Quantum Electron. 21, 517–520 (1989).

[CrossRef]

A. Sharma, P. Bindal, “An accurate variational analysis of single mode diffused channel waveguides,” Opt. Quantum Electron. 24, 1359–1371 (1992).

[CrossRef]

F. P. Payne, “A new theory of rectangular optical waveguides,” Opt. Quantum Electron. 14, 525–537 (1982).

[CrossRef]

She Shouxian, “Analysis of rectangular-core waveguide structures and directional couplers by an iterated moments method,” Opt. Quantum Electron. 20, 125–136 (1988).

[CrossRef]

A. M. Goncharenko, V. A. Karpenko, V. N. Mogilevich, A. B. Sotskii, “Methods for approximate variable separation in the theory of weakly inhomogeneous optical waveguides (review),” Zh. Prikl. Spektrosk. 45, 7–16 (1986) [published in English in J. Appl. Spectrosc. 54, 663–667 (1987)].

T. M. Benson, P. C. Kendall, “Variational techniques including effective and weighted index methods,” in Progress in Electromagnetic Research (EMW, Cambridge, Mass., 1995), Vol. 10, pp. 1–40.

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.

A. Sharma, P. K. Mishra, 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.

J. P. Meunier, Laboratoire de Traitement du Signal et Instrumentation, UMR CNRS 5516, Faculte des Sciences et Techniques, Université Jean Monnet, 42023 Saint-Etienne Cedex 2, France (personal communication, May, 2000).

P. A. M. Dirac, Principles of Quantum Mechanics (Oxford U. Press, Oxford, UK, 1958).

L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1968).