Abstract

Two open waveguides with finite spacing can be decoupled, if the index between them is a suitable function of the transverse coordinates. An analytical proof is provided that makes use of vector properties of electromagnetic waves. On the contrary, decoupling is shown to be impossible for scalar waves and thus incompatible with the weakly guiding assumption. Decoupling can be interpreted as a distributed antiresonance in the region between the waveguides.

© 1991 Optical Society of America

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References

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  1. H. G. Unger, in Integrated Optics—Physics and Applications, S. Martellucci, A. N. Chester, eds. (Plenum, New York, 1983).
  2. M. A. Duguay, Y. Kokubun, T. L. Koch, in Digest of Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1986), paper ThBB3.
  3. C. G. Someda, A. Vinco, A. Galtarossa, in Proceedings of 12th European Conference on Optical Communications (Telefónice, Barcelona, Spain, 1986), p. 349.
  4. R. J. Black, C. Pask, IEEE J. Lightwave Technol. LT-2, 268 (1984).
    [Crossref]
  5. P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.
  6. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983).
  7. D. Gloge, Appl. Opt. 10, 2252 (1971).
    [Crossref] [PubMed]
  8. R. J. Black, C. Veilleux, J. Bures, J. Lapierre, Electron. Lett. 21, 987 (1985).
    [Crossref]

1985 (1)

R. J. Black, C. Veilleux, J. Bures, J. Lapierre, Electron. Lett. 21, 987 (1985).
[Crossref]

1984 (1)

R. J. Black, C. Pask, IEEE J. Lightwave Technol. LT-2, 268 (1984).
[Crossref]

1971 (1)

Bassi, P.

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

Black, R. J.

R. J. Black, C. Veilleux, J. Bures, J. Lapierre, Electron. Lett. 21, 987 (1985).
[Crossref]

R. J. Black, C. Pask, IEEE J. Lightwave Technol. LT-2, 268 (1984).
[Crossref]

Bures, J.

R. J. Black, C. Veilleux, J. Bures, J. Lapierre, Electron. Lett. 21, 987 (1985).
[Crossref]

Capobienco, A.

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

De Angelis, C.

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

Di Pasquale, F.

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

Duguay, M. A.

M. A. Duguay, Y. Kokubun, T. L. Koch, in Digest of Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1986), paper ThBB3.

Galtarossa, A.

C. G. Someda, A. Vinco, A. Galtarossa, in Proceedings of 12th European Conference on Optical Communications (Telefónice, Barcelona, Spain, 1986), p. 349.

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

Gloge, D.

Koch, T. L.

M. A. Duguay, Y. Kokubun, T. L. Koch, in Digest of Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1986), paper ThBB3.

Kokubun, Y.

M. A. Duguay, Y. Kokubun, T. L. Koch, in Digest of Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1986), paper ThBB3.

Lapierre, J.

R. J. Black, C. Veilleux, J. Bures, J. Lapierre, Electron. Lett. 21, 987 (1985).
[Crossref]

Love, J. D.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983).

Pask, C.

R. J. Black, C. Pask, IEEE J. Lightwave Technol. LT-2, 268 (1984).
[Crossref]

Snyder, A. W.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983).

Someda, C. G.

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

C. G. Someda, A. Vinco, A. Galtarossa, in Proceedings of 12th European Conference on Optical Communications (Telefónice, Barcelona, Spain, 1986), p. 349.

Unger, H. G.

H. G. Unger, in Integrated Optics—Physics and Applications, S. Martellucci, A. N. Chester, eds. (Plenum, New York, 1983).

Veilleux, C.

R. J. Black, C. Veilleux, J. Bures, J. Lapierre, Electron. Lett. 21, 987 (1985).
[Crossref]

Vinco, A.

C. G. Someda, A. Vinco, A. Galtarossa, in Proceedings of 12th European Conference on Optical Communications (Telefónice, Barcelona, Spain, 1986), p. 349.

Zoboli, M.

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

Appl. Opt. (1)

Electron. Lett. (1)

R. J. Black, C. Veilleux, J. Bures, J. Lapierre, Electron. Lett. 21, 987 (1985).
[Crossref]

IEEE J. Lightwave Technol. (1)

R. J. Black, C. Pask, IEEE J. Lightwave Technol. LT-2, 268 (1984).
[Crossref]

Other (5)

P. Bassi, F. Di Pasquale, M. Zoboli, A. Capobienco, C. De Angelis, A. Galtarossa, C. G. Someda, in Digest of Meeting on Integrated Photonics Research (Optical Society of America, Washington, D.C., 1991), paper TuD28.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983).

H. G. Unger, in Integrated Optics—Physics and Applications, S. Martellucci, A. N. Chester, eds. (Plenum, New York, 1983).

M. A. Duguay, Y. Kokubun, T. L. Koch, in Digest of Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1986), paper ThBB3.

C. G. Someda, A. Vinco, A. Galtarossa, in Proceedings of 12th European Conference on Optical Communications (Telefónice, Barcelona, Spain, 1986), p. 349.

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Figures (3)

Fig. 1
Fig. 1

Reference frame and schematic representation of the scalar supermodes.

Fig. 2
Fig. 2

Cross section of the volume of integration.

Fig. 3
Fig. 3

Infinitesimal length equivalent circuit for two waveguides coupled through an antiresonant region.

Equations (11)

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t 2 ψ 1 + k 2 n 2 ( x , y ) ψ 1 = β t 2 ψ 1 ,
t 2 ψ 2 + k 2 n 2 ( x , y ) ψ 2 = β 2 2 ψ 2 ,
( β 1 2 β 2 2 ) 0 + d x + d y ψ 1 ψ 2 = + ψ 1 ( ψ 2 / x ) | x = 0 d y .
× E 1 = j ω μ H 1 ,
× H 1 = j ω E 1 .
( E 1 × H 2 * + E 2 * × H 1 ) = 0 .
j ( β 1 β 2 ) 0 d x + d y ( E 1 × H 2 * + E 2 * × H 1 ) a z = + E 1 × H 2 * a x | x = 0 d y ,
+ ( E 1 y H 2 z * E 1 z H 2 y * ) d y = 0 .
0 2 π ( E 1 ϕ H 2 z * E 1 z H 2 ϕ * ) d ϕ = 0 for r = a ,
0 ( E 1 z H 2 r * E 1 r H 2 z * ) r d r = 0 for ϕ = ϕ 0 ,
d A I d z = j β A I j c A II , d A II d z = j β A II j c A I ,

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