Abstract

The use of artificial dispersion by material structuring is investigated for the design of highly wavelength selective directional couplers. Systems of two highly asymmetric coupled waveguides are considered with the artificial dispersion created by distributed Bragg gratings (BGs) operated near photonic band gap. It is shown that even in the case of an asymmetrical directional coupler with initially phase matched waveguides, the achievement of high wavelength selectivity requires the fulfillment of a threshold condition on the BG coupling coefficient. The presence of BG(s) leads in turn to the appearance of two transmission bands instead of one. The wavelength selectivity associated to one of these bands is much higher than that obtained in the absence of BG(s). It is also shown that under particular circumstances, dual band operation can be achieved without threshold condition. The directional coupler then exhibits two transmission bands with approximately the same width and a very low level of insertion losses. Such a dual band transmission coupler is expected to offer new functionalities for wavelength demultiplexing applications.

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  1. K. Muhieddine, A. Lupu, E. Cassan, and J.-M. Lourtioz, “Proposal and analysis of narrow band transmission asymmetric directional couplers with Bragg grating induced phase matching,” Opt. Express 18(22), 23183–23195 (2010).
    [CrossRef] [PubMed]
  2. C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
    [CrossRef]
  3. B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).
  4. S.-K. Han, R. V. Ramaswamy, and R. F. Tavlykaev, “Highly asymmetrical vertical coupler wavelength filter in InGaAlAs/InP,” Electron. Lett. 33, 30–31 (1999).
  5. C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
    [CrossRef]
  6. A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
    [CrossRef]
  7. A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
    [CrossRef]
  8. P. Yeh and H. F. Taylor, “Contradirectional frequency-selective couplers for guided-wave optics,” Appl. Opt. 19(16), 2848–2855 (1980).
    [CrossRef] [PubMed]
  9. M. S. Whalen, M. D. Divino, and R. C. Alferness, “Demonstration of a narrowband Bragg-reflection filter in a single-mode fibre directional coupler,” Electron. Lett. 22(12), 681–682 (1986).
    [CrossRef]
  10. R. R. A. Syms, “Optical directional coupler with a grating overlay,” Appl. Opt. 24(5), 717–726 (1985).
    [CrossRef] [PubMed]
  11. R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
    [CrossRef]
  12. L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
    [CrossRef]
  13. S. S. Orlov, A. Yariv, and S. Van Essen, “Coupled-mode analysis of fiber-optic add drop filters for dense wavelength-division multiplexing,” Opt. Lett. 22(10), 688–690 (1997).
    [CrossRef] [PubMed]
  14. T. Erdogan, “Optical add–drop multiplexer based on an asymmetric Bragg coupler,” Opt. Commun. 157(1-6), 249–264 (1998).
    [CrossRef]
  15. I. Baumann, J. Seifert, W. Novak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
    [CrossRef]
  16. J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
    [CrossRef] [PubMed]
  17. A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
    [CrossRef]
  18. A. Yesayan and R. Vallée, “Optimized grating-frustrated coupler,” Opt. Lett. 26(17), 1329–1331 (2001).
    [CrossRef]
  19. A. Yesayan and R. Vallée, “Zero backreflection condition for a grating-frustrated coupler,” J. Opt. Soc. Am. B 20(7), 1418–1426 (2003).
    [CrossRef]
  20. N. Imoto, “An analysis for contradirectional-coupler-type optical grating filters,” J. Lightwave Technol. 3(4), 895–900 (1985).
    [CrossRef]
  21. J. E. Sipe, L. Poladian, and C. M. de Sterke, “Propagation through nonuniform grating structures,” J. Opt. Soc. Am. A 11(4), 1307–1320 (1994).
    [CrossRef]
  22. A. Yariv and M. Nakamura, “Periodic structures for integrated optics,” IEEE J. Quantum Electron. 13(4), 233–253 (1977).
    [CrossRef]
  23. R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
    [CrossRef]
  24. R. R. A. Syms, “Improved coupled mode theory for codirectionally and contradirectionally coupled waveguide arrays,” J. Opt. Soc. Am. A 8(7), 1062–1069 (1991).
    [CrossRef]
  25. J. Hong and W. P. Huang, “Contra-directional coupling in grating-assisted devices,” J. Lightwave Technol. 10(7), 873–881 (1992).
    [CrossRef]
  26. A. Hardy, “A unified approach to coupled-mode phenomena,” IEEE J. Quantum Electron. 34(7), 1109–1116 (1998).
    [CrossRef]
  27. N. Izhaky and A. Hardy, “Analysis of grating-assisted backward coupling employing the unified coupled-mode formalism,” J. Opt. Soc. Am. A 16(6), 1303–1311 (1999).
    [CrossRef]
  28. S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
    [CrossRef]
  29. Y. Shibata, T. Tamamura, S. Oku, and Y. Kondo, “Coupling coefficient modulation of waveguide grating using sampled grating,” IEEE Photon. Technol. Lett. 6(10), 1222–1224 (1994).
    [CrossRef]
  30. Q. Guo and W.-P. Huang, “Polarisation-independent optical filters based on co-directional phase-shifted grating-assisted couplers: theory and design,” IEEE Proc. Optoelectron. 143(3), 173–177 (1996).
    [CrossRef]

2010 (1)

K. Muhieddine, A. Lupu, E. Cassan, and J.-M. Lourtioz, “Proposal and analysis of narrow band transmission asymmetric directional couplers with Bragg grating induced phase matching,” Opt. Express 18(22), 23183–23195 (2010).
[CrossRef] [PubMed]

2003 (1)

A. Yesayan and R. Vallée, “Zero backreflection condition for a grating-frustrated coupler,” J. Opt. Soc. Am. B 20(7), 1418–1426 (2003).
[CrossRef]

2001 (1)

A. Yesayan and R. Vallée, “Optimized grating-frustrated coupler,” Opt. Lett. 26(17), 1329–1331 (2001).
[CrossRef]

2000 (2)

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
[CrossRef]

1999 (3)

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

S.-K. Han, R. V. Ramaswamy, and R. F. Tavlykaev, “Highly asymmetrical vertical coupler wavelength filter in InGaAlAs/InP,” Electron. Lett. 33, 30–31 (1999).

N. Izhaky and A. Hardy, “Analysis of grating-assisted backward coupling employing the unified coupled-mode formalism,” J. Opt. Soc. Am. A 16(6), 1303–1311 (1999).
[CrossRef]

1998 (2)

A. Hardy, “A unified approach to coupled-mode phenomena,” IEEE J. Quantum Electron. 34(7), 1109–1116 (1998).
[CrossRef]

T. Erdogan, “Optical add–drop multiplexer based on an asymmetric Bragg coupler,” Opt. Commun. 157(1-6), 249–264 (1998).
[CrossRef]

1997 (1)

S. S. Orlov, A. Yariv, and S. Van Essen, “Coupled-mode analysis of fiber-optic add drop filters for dense wavelength-division multiplexing,” Opt. Lett. 22(10), 688–690 (1997).
[CrossRef] [PubMed]

1996 (3)

I. Baumann, J. Seifert, W. Novak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
[CrossRef]

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
[CrossRef]

Q. Guo and W.-P. Huang, “Polarisation-independent optical filters based on co-directional phase-shifted grating-assisted couplers: theory and design,” IEEE Proc. Optoelectron. 143(3), 173–177 (1996).
[CrossRef]

1995 (2)

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

1994 (3)

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
[CrossRef] [PubMed]

Y. Shibata, T. Tamamura, S. Oku, and Y. Kondo, “Coupling coefficient modulation of waveguide grating using sampled grating,” IEEE Photon. Technol. Lett. 6(10), 1222–1224 (1994).
[CrossRef]

J. E. Sipe, L. Poladian, and C. M. de Sterke, “Propagation through nonuniform grating structures,” J. Opt. Soc. Am. A 11(4), 1307–1320 (1994).
[CrossRef]

1992 (1)

J. Hong and W. P. Huang, “Contra-directional coupling in grating-assisted devices,” J. Lightwave Technol. 10(7), 873–881 (1992).
[CrossRef]

1991 (2)

R. R. A. Syms, “Improved coupled mode theory for codirectionally and contradirectionally coupled waveguide arrays,” J. Opt. Soc. Am. A 8(7), 1062–1069 (1991).
[CrossRef]

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

1990 (1)

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

1987 (2)

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

1986 (1)

M. S. Whalen, M. D. Divino, and R. C. Alferness, “Demonstration of a narrowband Bragg-reflection filter in a single-mode fibre directional coupler,” Electron. Lett. 22(12), 681–682 (1986).
[CrossRef]

1985 (2)

R. R. A. Syms, “Optical directional coupler with a grating overlay,” Appl. Opt. 24(5), 717–726 (1985).
[CrossRef] [PubMed]

N. Imoto, “An analysis for contradirectional-coupler-type optical grating filters,” J. Lightwave Technol. 3(4), 895–900 (1985).
[CrossRef]

1980 (1)

P. Yeh and H. F. Taylor, “Contradirectional frequency-selective couplers for guided-wave optics,” Appl. Opt. 19(16), 2848–2855 (1980).
[CrossRef] [PubMed]

1977 (1)

A. Yariv and M. Nakamura, “Periodic structures for integrated optics,” IEEE J. Quantum Electron. 13(4), 233–253 (1977).
[CrossRef]

Abraham, P.

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

Alferness, R. C.

M. S. Whalen, M. D. Divino, and R. C. Alferness, “Demonstration of a narrowband Bragg-reflection filter in a single-mode fibre directional coupler,” Electron. Lett. 22(12), 681–682 (1986).
[CrossRef]

Archambault, J.-L.

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
[CrossRef] [PubMed]

Atkins, G. R.

A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
[CrossRef]

Barcelos, S.

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
[CrossRef] [PubMed]

Baumann, I.

I. Baumann, J. Seifert, W. Novak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
[CrossRef]

Birks, T. A.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
[CrossRef]

Bornhold, C.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Bouadma, N.

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Boulet, P.

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

Bowers, J. E.

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

Bruce, R.

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

Carenco, A.

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Carre, M.

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

Carré, M.

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Cassan, E.

K. Muhieddine, A. Lupu, E. Cassan, and J.-M. Lourtioz, “Proposal and analysis of narrow band transmission asymmetric directional couplers with Bragg grating induced phase matching,” Opt. Express 18(22), 23183–23195 (2010).
[CrossRef] [PubMed]

Chik, K. D.

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

Chiu, Y. J.

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

de Sterke, C. M.

J. E. Sipe, L. Poladian, and C. M. de Sterke, “Propagation through nonuniform grating structures,” J. Opt. Soc. Am. A 11(4), 1307–1320 (1994).
[CrossRef]

Divino, M. D.

M. S. Whalen, M. D. Divino, and R. C. Alferness, “Demonstration of a narrowband Bragg-reflection filter in a single-mode fibre directional coupler,” Electron. Lett. 22(12), 681–682 (1986).
[CrossRef]

Dong, L.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
[CrossRef]

Erdogan, T.

T. Erdogan, “Optical add–drop multiplexer based on an asymmetric Bragg coupler,” Opt. Commun. 157(1-6), 249–264 (1998).
[CrossRef]

Faucher, D.

A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
[CrossRef]

Filoche, M.

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Fouchet, S.

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

François, S.

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Guo, Q.

Q. Guo and W.-P. Huang, “Polarisation-independent optical filters based on co-directional phase-shifted grating-assisted couplers: theory and design,” IEEE Proc. Optoelectron. 143(3), 173–177 (1996).
[CrossRef]

Han, S.-K.

S.-K. Han, R. V. Ramaswamy, and R. F. Tavlykaev, “Highly asymmetrical vertical coupler wavelength filter in InGaAlAs/InP,” Electron. Lett. 33, 30–31 (1999).

Hardy, A.

N. Izhaky and A. Hardy, “Analysis of grating-assisted backward coupling employing the unified coupled-mode formalism,” J. Opt. Soc. Am. A 16(6), 1303–1311 (1999).
[CrossRef]

A. Hardy, “A unified approach to coupled-mode phenomena,” IEEE J. Quantum Electron. 34(7), 1109–1116 (1998).
[CrossRef]

Hervé-Gruyer, G.

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Hong, J.

J. Hong and W. P. Huang, “Contra-directional coupling in grating-assisted devices,” J. Lightwave Technol. 10(7), 873–881 (1992).
[CrossRef]

Hua, P.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
[CrossRef]

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
[CrossRef] [PubMed]

Huang, W. P.

J. Hong and W. P. Huang, “Contra-directional coupling in grating-assisted devices,” J. Lightwave Technol. 10(7), 873–881 (1992).
[CrossRef]

Huang, W.-P.

Q. Guo and W.-P. Huang, “Polarisation-independent optical filters based on co-directional phase-shifted grating-assisted couplers: theory and design,” IEEE Proc. Optoelectron. 143(3), 173–177 (1996).
[CrossRef]

Imoto, N.

N. Imoto, “An analysis for contradirectional-coupler-type optical grating filters,” J. Lightwave Technol. 3(4), 895–900 (1985).
[CrossRef]

Izhaky, N.

N. Izhaky and A. Hardy, “Analysis of grating-assisted backward coupling employing the unified coupled-mode formalism,” J. Opt. Soc. Am. A 16(6), 1303–1311 (1999).
[CrossRef]

Jacob-Poulin, A.-C.

A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
[CrossRef]

Kappe, F.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Kondo, Y.

Y. Shibata, T. Tamamura, S. Oku, and Y. Kondo, “Coupling coefficient modulation of waveguide grating using sampled grating,” IEEE Photon. Technol. Lett. 6(10), 1222–1224 (1994).
[CrossRef]

Landreau, J.

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

LaRochelle, S.

A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
[CrossRef]

Liu, B.

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

Lourtioz, J.-M.

K. Muhieddine, A. Lupu, E. Cassan, and J.-M. Lourtioz, “Proposal and analysis of narrow band transmission asymmetric directional couplers with Bragg grating induced phase matching,” Opt. Express 18(22), 23183–23195 (2010).
[CrossRef] [PubMed]

Lupu, A.

K. Muhieddine, A. Lupu, E. Cassan, and J.-M. Lourtioz, “Proposal and analysis of narrow band transmission asymmetric directional couplers with Bragg grating induced phase matching,” Opt. Express 18(22), 23183–23195 (2010).
[CrossRef] [PubMed]

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

März, R.

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

Mereuta, A.

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

Muhieddine, K.

K. Muhieddine, A. Lupu, E. Cassan, and J.-M. Lourtioz, “Proposal and analysis of narrow band transmission asymmetric directional couplers with Bragg grating induced phase matching,” Opt. Express 18(22), 23183–23195 (2010).
[CrossRef] [PubMed]

Müller, R.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Nakamura, M.

A. Yariv and M. Nakamura, “Periodic structures for integrated optics,” IEEE J. Quantum Electron. 13(4), 233–253 (1977).
[CrossRef]

Nolting, H. P.

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

Nolting, H.-P.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Novak, W.

I. Baumann, J. Seifert, W. Novak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
[CrossRef]

Oku, S.

Y. Shibata, T. Tamamura, S. Oku, and Y. Kondo, “Coupling coefficient modulation of waveguide grating using sampled grating,” IEEE Photon. Technol. Lett. 6(10), 1222–1224 (1994).
[CrossRef]

Orlov, S. S.

S. S. Orlov, A. Yariv, and S. Van Essen, “Coupled-mode analysis of fiber-optic add drop filters for dense wavelength-division multiplexing,” Opt. Lett. 22(10), 688–690 (1997).
[CrossRef] [PubMed]

Ougazzaden, A.

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Poladian, L.

J. E. Sipe, L. Poladian, and C. M. de Sterke, “Propagation through nonuniform grating structures,” J. Opt. Soc. Am. A 11(4), 1307–1320 (1994).
[CrossRef]

Puetz, N.

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

Ramaswamy, R. V.

S.-K. Han, R. V. Ramaswamy, and R. F. Tavlykaev, “Highly asymmetrical vertical coupler wavelength filter in InGaAlAs/InP,” Electron. Lett. 33, 30–31 (1999).

Reekie, L.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
[CrossRef]

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
[CrossRef] [PubMed]

Reier, F.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Rolland, C.

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

Russell, P. S. J.

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
[CrossRef]

Russell, P. St. J.

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
[CrossRef] [PubMed]

Sauer, M.

I. Baumann, J. Seifert, W. Novak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
[CrossRef]

Seifert, J.

I. Baumann, J. Seifert, W. Novak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
[CrossRef]

Shakouri, A.

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

Shibata, Y.

Y. Shibata, T. Tamamura, S. Oku, and Y. Kondo, “Coupling coefficient modulation of waveguide grating using sampled grating,” IEEE Photon. Technol. Lett. 6(10), 1222–1224 (1994).
[CrossRef]

Sik, H.

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

Sipe, J. E.

J. E. Sipe, L. Poladian, and C. M. de Sterke, “Propagation through nonuniform grating structures,” J. Opt. Soc. Am. A 11(4), 1307–1320 (1994).
[CrossRef]

Slempkes, S.

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

Stenzel, R.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Syms, R. R. A.

R. R. A. Syms, “Improved coupled mode theory for codirectionally and contradirectionally coupled waveguide arrays,” J. Opt. Soc. Am. A 8(7), 1062–1069 (1991).
[CrossRef]

R. R. A. Syms, “Optical directional coupler with a grating overlay,” Appl. Opt. 24(5), 717–726 (1985).
[CrossRef] [PubMed]

Tamamura, T.

Y. Shibata, T. Tamamura, S. Oku, and Y. Kondo, “Coupling coefficient modulation of waveguide grating using sampled grating,” IEEE Photon. Technol. Lett. 6(10), 1222–1224 (1994).
[CrossRef]

Tavlykaev, R. F.

S.-K. Han, R. V. Ramaswamy, and R. F. Tavlykaev, “Highly asymmetrical vertical coupler wavelength filter in InGaAlAs/InP,” Electron. Lett. 33, 30–31 (1999).

Taylor, H. F.

P. Yeh and H. F. Taylor, “Contradirectional frequency-selective couplers for guided-wave optics,” Appl. Opt. 19(16), 2848–2855 (1980).
[CrossRef] [PubMed]

Valle’e, R.

A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
[CrossRef]

Vallée, R.

A. Yesayan and R. Vallée, “Zero backreflection condition for a grating-frustrated coupler,” J. Opt. Soc. Am. B 20(7), 1418–1426 (2003).
[CrossRef]

A. Yesayan and R. Vallée, “Optimized grating-frustrated coupler,” Opt. Lett. 26(17), 1329–1331 (2001).
[CrossRef]

Van Essen, S.

S. S. Orlov, A. Yariv, and S. Van Essen, “Coupled-mode analysis of fiber-optic add drop filters for dense wavelength-division multiplexing,” Opt. Lett. 22(10), 688–690 (1997).
[CrossRef] [PubMed]

Venghaus, H.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Weinert, C. M.

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Whalen, M. S.

M. S. Whalen, M. D. Divino, and R. C. Alferness, “Demonstration of a narrowband Bragg-reflection filter in a single-mode fibre directional coupler,” Electron. Lett. 22(12), 681–682 (1986).
[CrossRef]

Win, P.

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

Wu, C.

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

Xu, J. M.

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

Yariv, A.

S. S. Orlov, A. Yariv, and S. Van Essen, “Coupled-mode analysis of fiber-optic add drop filters for dense wavelength-division multiplexing,” Opt. Lett. 22(10), 688–690 (1997).
[CrossRef] [PubMed]

A. Yariv and M. Nakamura, “Periodic structures for integrated optics,” IEEE J. Quantum Electron. 13(4), 233–253 (1977).
[CrossRef]

Yeh, P.

P. Yeh and H. F. Taylor, “Contradirectional frequency-selective couplers for guided-wave optics,” Appl. Opt. 19(16), 2848–2855 (1980).
[CrossRef] [PubMed]

Yesayan, A.

A. Yesayan and R. Vallée, “Zero backreflection condition for a grating-frustrated coupler,” J. Opt. Soc. Am. B 20(7), 1418–1426 (2003).
[CrossRef]

A. Yesayan and R. Vallée, “Optimized grating-frustrated coupler,” Opt. Lett. 26(17), 1329–1331 (2001).
[CrossRef]

Zhang, S.

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

Appl. Opt. (2)

P. Yeh and H. F. Taylor, “Contradirectional frequency-selective couplers for guided-wave optics,” Appl. Opt. 19(16), 2848–2855 (1980).
[CrossRef] [PubMed]

R. R. A. Syms, “Optical directional coupler with a grating overlay,” Appl. Opt. 24(5), 717–726 (1985).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

C. Bornhold, F. Kappe, R. Müller, H.-P. Nolting, F. Reier, R. Stenzel, H. Venghaus, and C. M. Weinert, “Meander coupler, a novel wavelength division multiplexer/demultiplexer,” Appl. Phys. Lett. 57(24), 2517–2519 (1990).
[CrossRef]

Electron. Lett. (4)

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carre, J. Landreau, S. Slempkes, and A. Carenco, “Tunable filter with box like spectral response for 1.28/1.32 µm duplexer application,” Electron. Lett. 35(2), 174–175 (1999).
[CrossRef]

A. Lupu, H. Sik, A. Mereuta, P. Boulet, M. Carré, S. Slempkes, A. Ougazzaden, and A. Carenco, “Three-waveguides two-grating codirectional coupler for 1.3-/1.3+/1.5µm demultiplexing in transceiver,” Electron. Lett. 36(24), 2030–2031 (2000).
[CrossRef]

M. S. Whalen, M. D. Divino, and R. C. Alferness, “Demonstration of a narrowband Bragg-reflection filter in a single-mode fibre directional coupler,” Electron. Lett. 22(12), 681–682 (1986).
[CrossRef]

S.-K. Han, R. V. Ramaswamy, and R. F. Tavlykaev, “Highly asymmetrical vertical coupler wavelength filter in InGaAlAs/InP,” Electron. Lett. 33, 30–31 (1999).

IEEE J. Quantum Electron. (2)

A. Yariv and M. Nakamura, “Periodic structures for integrated optics,” IEEE J. Quantum Electron. 13(4), 233–253 (1977).
[CrossRef]

A. Hardy, “A unified approach to coupled-mode phenomena,” IEEE J. Quantum Electron. 34(7), 1109–1116 (1998).
[CrossRef]

IEEE Photon. Technol. Lett. (6)

S. François, S. Fouchet, N. Bouadma, A. Ougazzaden, M. Carré, G. Hervé-Gruyer, M. Filoche, and A. Carenco, “Polarization independent filtering in a grating assisted horizontal directional coupler,” IEEE Photon. Technol. Lett. 7(7), 780–782 (1995).
[CrossRef]

Y. Shibata, T. Tamamura, S. Oku, and Y. Kondo, “Coupling coefficient modulation of waveguide grating using sampled grating,” IEEE Photon. Technol. Lett. 6(10), 1222–1224 (1994).
[CrossRef]

C. Wu, C. Rolland, N. Puetz, R. Bruce, K. D. Chik, and J. M. Xu, “A vertically coupled InGaAsP/InP directional coupler filter of ultranarrow bandwidth,” IEEE Photon. Technol. Lett. 3(6), 519–521 (1991).
[CrossRef]

B. Liu, A. Shakouri, P. Abraham, Y. J. Chiu, S. Zhang, and J. E. Bowers, “Fused InP–GaAs Vertical Coupler Filters,” IEEE Photon. Technol. Lett. 11, 93–95 (1995).

L. Dong, P. Hua, T. A. Birks, L. Reekie, and P. S. J. Russell, “Novel add–drop filters for wavelength division multiplexing optical fiber systems using a Bragg grating assisted mismatched coupler,” IEEE Photon. Technol. Lett. 8(12), 1656–1658 (1996).
[CrossRef]

I. Baumann, J. Seifert, W. Novak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
[CrossRef]

IEEE Proc. Optoelectron. (1)

Q. Guo and W.-P. Huang, “Polarisation-independent optical filters based on co-directional phase-shifted grating-assisted couplers: theory and design,” IEEE Proc. Optoelectron. 143(3), 173–177 (1996).
[CrossRef]

J. Lightwave Technol. (3)

J. Hong and W. P. Huang, “Contra-directional coupling in grating-assisted devices,” J. Lightwave Technol. 10(7), 873–881 (1992).
[CrossRef]

N. Imoto, “An analysis for contradirectional-coupler-type optical grating filters,” J. Lightwave Technol. 3(4), 895–900 (1985).
[CrossRef]

A.-C. Jacob-Poulin, R. Valle’e, S. LaRochelle, D. Faucher, and G. R. Atkins, “Channel-dropping filter based on a grating-frustrated two-core fiber,” J. Lightwave Technol. 18(5), 715–720 (2000).
[CrossRef]

J. Opt. Soc. Am. A (3)

J. E. Sipe, L. Poladian, and C. M. de Sterke, “Propagation through nonuniform grating structures,” J. Opt. Soc. Am. A 11(4), 1307–1320 (1994).
[CrossRef]

R. R. A. Syms, “Improved coupled mode theory for codirectionally and contradirectionally coupled waveguide arrays,” J. Opt. Soc. Am. A 8(7), 1062–1069 (1991).
[CrossRef]

N. Izhaky and A. Hardy, “Analysis of grating-assisted backward coupling employing the unified coupled-mode formalism,” J. Opt. Soc. Am. A 16(6), 1303–1311 (1999).
[CrossRef]

J. Opt. Soc. Am. B (1)

A. Yesayan and R. Vallée, “Zero backreflection condition for a grating-frustrated coupler,” J. Opt. Soc. Am. B 20(7), 1418–1426 (2003).
[CrossRef]

Opt. Commun. (1)

T. Erdogan, “Optical add–drop multiplexer based on an asymmetric Bragg coupler,” Opt. Commun. 157(1-6), 249–264 (1998).
[CrossRef]

Opt. Express (1)

K. Muhieddine, A. Lupu, E. Cassan, and J.-M. Lourtioz, “Proposal and analysis of narrow band transmission asymmetric directional couplers with Bragg grating induced phase matching,” Opt. Express 18(22), 23183–23195 (2010).
[CrossRef] [PubMed]

Opt. Lett. (3)

A. Yesayan and R. Vallée, “Optimized grating-frustrated coupler,” Opt. Lett. 26(17), 1329–1331 (2001).
[CrossRef]

J.-L. Archambault, P. St. J. Russell, S. Barcelos, P. Hua, and L. Reekie, “Grating-frustrated coupler: a novel channel-dropping filter in single-mode optical fiber,” Opt. Lett. 19(3), 180–182 (1994).
[CrossRef] [PubMed]

S. S. Orlov, A. Yariv, and S. Van Essen, “Coupled-mode analysis of fiber-optic add drop filters for dense wavelength-division multiplexing,” Opt. Lett. 22(10), 688–690 (1997).
[CrossRef] [PubMed]

Opt. Quantum Electron. (2)

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

R. März and H. P. Nolting, “Spectral properties of asymmetrical optical directional couplers with periodic structures,” Opt. Quantum Electron. 19(5), 273–287 (1987).
[CrossRef]

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Figures (8)

Fig. 1
Fig. 1

Sketch of the vertical coupling geometry Bragg grating assisted asymmetric directional coupler (BGAADC).

Fig. 2
Fig. 2

Dispersion curves of the uniform waveguide (black) and the BG assisted waveguide for increasing values of the coupling coefficient χ1 (from blue to light green) when ng1 >ng2 . (a) ωADCBr1 (b) ωADCBr1. Insets show enlarged views in the vicinity of the phase matching wavelengths.

Fig. 3
Fig. 3

Dispersion curves of the uniform waveguide (black) and the BG assisted waveguide for increasing values of the coupling coefficient χ1 (from blue to light green) when ng1<ng2 . (a) ωADCBr1 (b) ωADCBr1. Insets show enlarged views in the vicinity of the phase matching wavelengths.

Fig. 4
Fig. 4

Dispersion curves of the uniform waveguide (black) and the BG assisted waveguide for increasing values of the coupling coefficient χ1 (from blue to light green) when ωADCBr1 (a) ng 1>ng 2 (b) ng 1<ng 2. Insets show enlarged views in the vicinity of the phase matching wavelengths.

Fig. 5
Fig. 5

Schematic representation of the Bragg grating assisted coupler with rectangular grating profile.

Fig. 6
Fig. 6

Drop-port exchange transmission spectra calculated from the CMT model for several values of the coupling coefficient χ1 when ng 1>ng 2. (a) ωADCBr1ADCBr1) (b) ωADCBr1ADCBr1).

Fig. 7
Fig. 7

Drop-port exchange transmission spectra calculated from the CMT model for several values of the coupling coefficient χ1 when n g1<n g2 (a) ωADCBr1ADCBr1) (b) ωADCBr1ADCBr1).

Fig. 8
Fig. 8

Drop-port exchange transmission spectra calculated from the CMT model for several values of the coupling coefficient χ1 when ωADCBr1. (a) n g1>n g2, (b) n g1<n g2.

Equations (15)

Equations on this page are rendered with MathJax. Learn more.

β e q = ( π Λ ± ( k n e f f ( k ) π Λ ) χ 2 )
π Λ 1 ± ( k n e f f 1 ( k ) π Λ 1 ) 2 χ 1 2 = π Λ 2 ± ( k n e f f 2 ( k ) π Λ 2 ) 2 χ 2 2
k = n g 1 2 k B r 1 2 n g 2 2 k B r 2 2 ( χ 1 2 χ 2 2 ) ( n g 1 2 k B r 1 n g 2 2 k B r 2 ) ± n g 1 2 n g 2 2 ( k B r 1 k B r 2 ) 2 + ( χ 1 2 χ 2 2 ) ( n g 1 2 n g 2 2 )
χ t h = n g 1 | k B r 1 k B r 2 | + n g 1 n g 2 χ 2
χ t h = n g 1 π Λ ( ( λ A D C λ B r 1 ) ( d n e f f 1 d λ d n e f f 2 d λ ) n e f f 1 ( λ B r 1 ) ( n e f f 1 ( λ B r 1 ) + ( λ A D C λ B r 1 ) ( d n e f f 1 d λ d n e f f 2 d λ ) ) ) + n g 1 n g 2 χ 2
χ d = n g 1 2 n g 2 2 n g 1 2 n g 2 2 ( k B r 1 k B r 2 ) 2 + χ 2 2
χ d χ t h = n g 2 2 n g 1 2 n g 2 2
Δ n e f f 1 = λ B r 1 χ 1 π
n e f f ( λ ) = n e f f ( λ 0 ) + ( λ λ 0 ) n e f f λ = n g + λ n e f f λ
n e f f λ 1 2 Λ = n e f f λ n λ B r λ B r = n g λ B r
| 2 π λ n e f f 1 ( λ ) π Λ | | χ 1 | = 0
| 2 π λ n e f f 2 ( λ ) π Λ | | χ 2 | = 0
χ 1 = | π Λ ( 1 n g 1 n g 2 ) 2 π ( n e f f 1 λ n g 1 n g 2 n e f f 2 λ ) | + χ 2 n g 1 n g 2
χ 1 = | n g 1 π Λ ( 1 n e f f 1 ( λ B r 1 ) 1 n e f f 2 ( λ B r 2 ) ) | + χ 2 n g 1 n g 2
n e f f 1 ( λ A D C ) = n e f f 1 ( λ B r 1 ) ( λ B r 1 λ A D C ) n e f f 1 λ = n e f f 2 ( λ B r 1 ) ( λ B r 1 λ A D C ) n e f f 2 λ = n e f f 2 ( λ A D C )

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