Abstract

This paper addresses the design of narrow band transmission co-directional couplers suitable for wavelength division multiplexing applications. The originality of the proposed asymmetric two-waveguide configuration stems from the use of Bragg gratings operated near band gap to simultaneously achieve high wavelength dispersion and selectivity as well as co-directional phase matching between guides which would be mismatched otherwise. Our theoretical analysis reveals the existence of a minimum Bragg grating coupling strength for co-directional phase matching. The threshold condition is analytically determined, and a coupled mode theory (CMT) four-wave model is successfully applied to describe the behavior of the investigated device. A numerical validation of CMT results is reported in the case of slab waveguides with Bragg grating assisted coupling. The proposed design is shown to be compatible with existing micro-nano-fabrication technology.

© 2010 OSA

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  1. H. F. Taylor, “Frequency-selective coupling in parallel dielectric waveguides,” Opt. Commun. 8(4), 421–425 (1973).
    [CrossRef]
  2. C. Elachi and C. Yeh, “Frequency selective coupler for integrated optics systems,” Opt. Commun. 7(3), 201–204 (1973).
    [CrossRef]
  3. D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part I: Synchronous couplers,” J. Lightwave Technol. 5(1), 113–118 (1987).
    [CrossRef]
  4. D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part II: Grating-assisted couplers,” J. Lightwave Technol. 5(2), 268–273 (1987).
    [CrossRef]
  5. W.-P. Huang, “Coupled mode theory for optical waveguides: an overview,” J. Opt. Soc. Am. A 11(3), 963–983 (1994).
    [CrossRef]
  6. R. C. Alferness and R. V. Schmidt, “Tunable optical waveguide directional coupler filter,” Appl. Phys. Lett. 33(2), 161–163 (1978).
    [CrossRef]
  7. R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
    [CrossRef]
  8. P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
    [CrossRef]
  9. C. Bornholdt, 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]
  10. Y.-H. Jan, M. E. Heimbuch, L. A. Coldren, and S. P. DenBaars, “InP/InGaAsP grating-assisted codirectional coupler tunable receiver with a 30nm wavelength tuning range,” Electron. Lett. 32(18), 1697–1698 (1996).
    [CrossRef]
  11. 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]
  12. A. Lupu, P. Win, H. Sik, P. Boulet, M. Carré, 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]
  13. R. C. Alferness, “Optical directional couplers with weighted coupling,” Appl. Phys. Lett. 35, 109–126 (1978).
  14. K. A. Winick, “Design of grating-assisted waveguide couplers with weighted coupling,” J. Lightwave Technol. 9(11), 1481–1492 (1991).
    [CrossRef]
  15. B. E. Little, C. Wu, and W. P. Huang, “Synthesis of codirectional couplers with ultralow sidelobes and minimum bandwidth,” Opt. Lett. 20(11), 1259–1261 (1995).
    [CrossRef] [PubMed]
  16. 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]
  17. 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).
  18. S.-K. Han, R. V. Ramaswamy, and R. F. Tavlykaev, “Highly asymmetrical vertical coupler wavelength filter in InGaAlAs/InP,” Electron. Lett. 33, 31 (1999).
  19. B. R. West and A. S. Helmy, “Dispersion tailoring of the quarter-wave Bragg reflection waveguide,” Opt. Express 14(9), 4073–4086 (2006).
    [CrossRef] [PubMed]
  20. R. Das and K. Thyagarajan, “Strong dispersive features of dual Bragg cladding waveguides using higher-order mode-coupling mechanism,” J. Opt. A, Pure Appl. Opt. 11(10), 105410 (2009).
    [CrossRef]
  21. M. Dainese, M. Swillo, L. Wosinski, and L. Thylen, “Directional coupler wavelength selective filter based on dispersive Bragg reflection waveguide,” Opt. Commun. 260(2), 514–521 (2006).
    [CrossRef]
  22. A. Ankiewicz and G.-D. Peng, “Narrow bandpass filter using Bragg grating coupler in transmission mode,” Electron. Lett. 33(25), 2151–2153 (1997).
    [CrossRef]
  23. A. Ankiewicz, Z. H. Wang, and G.-D. Peng, “Analysis of narrow bandpass filter using coupler with Bragg grating in transmission,” Opt. Commun. 156(1-3), 27–31 (1998).
    [CrossRef]
  24. P. Bienstman and R. Baets, “Optical Modelling of Photonic Crystals and VCSELs using Eigenmode Expansion and Perfectly Matched Layers,” Opt. Quantum Electron. 33(4/5), 327–341 (2001).
    [CrossRef]
  25. http://camfr.sourceforge.net .
  26. P. Yeh and H. F. Taylor, “Contradirectional frequency-selective couplers for guided-wave optics,” Appl. Opt. 19(16), 2848–2855 (1980).
    [CrossRef] [PubMed]
  27. 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]
  28. R. R. A. Syms, “Optical directional coupler with a grating overlay,” Appl. Opt. 24(5), 717–726 (1985).
    [CrossRef] [PubMed]
  29. 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]
  30. 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]
  31. 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]
  32. T. Erdogan, “Optical add–drop multiplexer based on an asymmetric Bragg coupler,” Opt. Commun. 157(1-6), 249–264 (1998).
    [CrossRef]
  33. I. Baumann, J. Seifert, W. Nowak, and M. Sauer, “Compact all-fiber add-drop-multiplexer using fiber Bragg gratings,” IEEE Photon. Technol. Lett. 8(10), 1331–1333 (1996).
    [CrossRef]
  34. 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]
  35. 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]
  36. A. Yesayan and R. Vallée, “Optimized grating-frustrated coupler,” Opt. Lett. 26(17), 1329–1331 (2001).
    [CrossRef]
  37. A. Yesayan and R. Vallée, “Zero backreflection condition for a grating-frustrated coupler,” J. Opt. Soc. Am. B 20(7), 1418–1426 (2003).
    [CrossRef]
  38. N. Imoto, “An analysis for contradirectional-coupler-type optical grating filters,” J. Lightwave Technol. 3(4), 895–900 (1985).
    [CrossRef]
  39. 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]
  40. A. Arraf, L. Poladian, C. M. de Sterke, and T. G. Brown, “Effective-medium approach for counterpropagating waves in nonuniform Bragg gratings,” J. Opt. Soc. Am. A 14(5), 1137–1143 (1997).
    [CrossRef]
  41. A. Yariv and M. Nakamura, “Periodic structures for integrated optics,” IEEE J. Quantum Electron. 13(4), 233–253 (1977).
    [CrossRef]
  42. B. Lombardet, L. A. Dunbar, R. Ferrini, and R. Houdré, “Fourier analysis of Bloch wave propagation in photonic crystals,” J. Opt. Soc. Am. B 22(6), 1179–1190 (2005).
    [CrossRef]
  43. 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]
  44. J. Hong and W. P. Huang, “Contra-directional coupling in grating-assisted guided-wave devices,” J. Lightwave Technol. 10(7), 873–881 (1992).
    [CrossRef]
  45. A. Hardy, “A unified approach to coupled-mode phenomena,” IEEE J. Quantum Electron. 34(7), 1109–1116 (1998).
    [CrossRef]
  46. 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]

2009 (1)

R. Das and K. Thyagarajan, “Strong dispersive features of dual Bragg cladding waveguides using higher-order mode-coupling mechanism,” J. Opt. A, Pure Appl. Opt. 11(10), 105410 (2009).
[CrossRef]

2006 (2)

M. Dainese, M. Swillo, L. Wosinski, and L. Thylen, “Directional coupler wavelength selective filter based on dispersive Bragg reflection waveguide,” Opt. Commun. 260(2), 514–521 (2006).
[CrossRef]

B. R. West and A. S. Helmy, “Dispersion tailoring of the quarter-wave Bragg reflection waveguide,” Opt. Express 14(9), 4073–4086 (2006).
[CrossRef] [PubMed]

2005 (1)

2003 (1)

2001 (2)

P. Bienstman and R. Baets, “Optical Modelling of Photonic Crystals and VCSELs using Eigenmode Expansion and Perfectly Matched Layers,” Opt. Quantum Electron. 33(4/5), 327–341 (2001).
[CrossRef]

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

2000 (2)

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]

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]

1999 (3)

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carré, 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, 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 (3)

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]

A. Ankiewicz, Z. H. Wang, and G.-D. Peng, “Analysis of narrow bandpass filter using coupler with Bragg grating in transmission,” Opt. Commun. 156(1-3), 27–31 (1998).
[CrossRef]

1997 (3)

1996 (3)

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

Y.-H. Jan, M. E. Heimbuch, L. A. Coldren, and S. P. DenBaars, “InP/InGaAsP grating-assisted codirectional coupler tunable receiver with a 30nm wavelength tuning range,” Electron. Lett. 32(18), 1697–1698 (1996).
[CrossRef]

1995 (3)

B. E. Little, C. Wu, and W. P. Huang, “Synthesis of codirectional couplers with ultralow sidelobes and minimum bandwidth,” Opt. Lett. 20(11), 1259–1261 (1995).
[CrossRef] [PubMed]

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).

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

1994 (3)

1992 (2)

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

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[CrossRef]

1991 (3)

K. A. Winick, “Design of grating-assisted waveguide couplers with weighted coupling,” J. Lightwave Technol. 9(11), 1481–1492 (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]

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]

1990 (1)

C. Bornholdt, 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 (3)

D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part I: Synchronous couplers,” J. Lightwave Technol. 5(1), 113–118 (1987).
[CrossRef]

D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part II: Grating-assisted couplers,” J. Lightwave Technol. 5(2), 268–273 (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)

1978 (2)

R. C. Alferness and R. V. Schmidt, “Tunable optical waveguide directional coupler filter,” Appl. Phys. Lett. 33(2), 161–163 (1978).
[CrossRef]

R. C. Alferness, “Optical directional couplers with weighted coupling,” Appl. Phys. Lett. 35, 109–126 (1978).

1977 (1)

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

1973 (2)

H. F. Taylor, “Frequency-selective coupling in parallel dielectric waveguides,” Opt. Commun. 8(4), 421–425 (1973).
[CrossRef]

C. Elachi and C. Yeh, “Frequency selective coupler for integrated optics systems,” Opt. Commun. 7(3), 201–204 (1973).
[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.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[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]

R. C. Alferness and R. V. Schmidt, “Tunable optical waveguide directional coupler filter,” Appl. Phys. Lett. 33(2), 161–163 (1978).
[CrossRef]

R. C. Alferness, “Optical directional couplers with weighted coupling,” Appl. Phys. Lett. 35, 109–126 (1978).

Ankiewicz, A.

A. Ankiewicz, Z. H. Wang, and G.-D. Peng, “Analysis of narrow bandpass filter using coupler with Bragg grating in transmission,” Opt. Commun. 156(1-3), 27–31 (1998).
[CrossRef]

A. Ankiewicz and G.-D. Peng, “Narrow bandpass filter using Bragg grating coupler in transmission mode,” Electron. Lett. 33(25), 2151–2153 (1997).
[CrossRef]

Archambault, J.-L.

Arraf, A.

Atkins, G. R.

Backbom, L.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

Baets, R.

P. Bienstman and R. Baets, “Optical Modelling of Photonic Crystals and VCSELs using Eigenmode Expansion and Perfectly Matched Layers,” Opt. Quantum Electron. 33(4/5), 327–341 (2001).
[CrossRef]

Barcelos, S.

Baumann, I.

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

Berglind, E.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

Bienstman, P.

P. Bienstman and R. Baets, “Optical Modelling of Photonic Crystals and VCSELs using Eigenmode Expansion and Perfectly Matched Layers,” Opt. Quantum Electron. 33(4/5), 327–341 (2001).
[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]

Bornholdt, C.

C. Bornholdt, 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]

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. Carré, 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).

Brown, T. G.

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]

Buhl, L. L.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[CrossRef]

Burrus, C. A.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[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. Carré, 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]

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carré, 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]

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).

Coldren, L. A.

Y.-H. Jan, M. E. Heimbuch, L. A. Coldren, and S. P. DenBaars, “InP/InGaAsP grating-assisted codirectional coupler tunable receiver with a 30nm wavelength tuning range,” Electron. Lett. 32(18), 1697–1698 (1996).
[CrossRef]

Dainese, M.

M. Dainese, M. Swillo, L. Wosinski, and L. Thylen, “Directional coupler wavelength selective filter based on dispersive Bragg reflection waveguide,” Opt. Commun. 260(2), 514–521 (2006).
[CrossRef]

Das, R.

R. Das and K. Thyagarajan, “Strong dispersive features of dual Bragg cladding waveguides using higher-order mode-coupling mechanism,” J. Opt. A, Pure Appl. Opt. 11(10), 105410 (2009).
[CrossRef]

de Sterke, C. M.

DenBaars, S. P.

Y.-H. Jan, M. E. Heimbuch, L. A. Coldren, and S. P. DenBaars, “InP/InGaAsP grating-assisted codirectional coupler tunable receiver with a 30nm wavelength tuning range,” Electron. Lett. 32(18), 1697–1698 (1996).
[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]

Dunbar, L. A.

Elachi, C.

C. Elachi and C. Yeh, “Frequency selective coupler for integrated optics systems,” Opt. Commun. 7(3), 201–204 (1973).
[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.

Ferrini, R.

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, 31 (1999).

Hardy, A.

Heimbuch, M. E.

Y.-H. Jan, M. E. Heimbuch, L. A. Coldren, and S. P. DenBaars, “InP/InGaAsP grating-assisted codirectional coupler tunable receiver with a 30nm wavelength tuning range,” Electron. Lett. 32(18), 1697–1698 (1996).
[CrossRef]

Helmy, A. S.

Hong, J.

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

Houdré, R.

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.

B. E. Little, C. Wu, and W. P. Huang, “Synthesis of codirectional couplers with ultralow sidelobes and minimum bandwidth,” Opt. Lett. 20(11), 1259–1261 (1995).
[CrossRef] [PubMed]

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

Huang, W.-P.

Imoto, N.

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

Izhaky, N.

Jacob-Poulin, A.-C.

Jan, Y.-H.

Y.-H. Jan, M. E. Heimbuch, L. A. Coldren, and S. P. DenBaars, “InP/InGaAsP grating-assisted codirectional coupler tunable receiver with a 30nm wavelength tuning range,” Electron. Lett. 32(18), 1697–1698 (1996).
[CrossRef]

Kappe, F.

C. Bornholdt, 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]

Klinga, T.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

Koch, T. L.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[CrossRef]

Koren, U.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[CrossRef]

LaRochelle, S.

Little, B. E.

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).

Lombardet, B.

Lupu, 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. Carré, 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]

Marcuse, D.

D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part I: Synchronous couplers,” J. Lightwave Technol. 5(1), 113–118 (1987).
[CrossRef]

D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part II: Grating-assisted couplers,” J. Lightwave Technol. 5(2), 268–273 (1987).
[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]

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]

Miller, B. I.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[CrossRef]

Müller, R.

C. Bornholdt, 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]

Nilsson, S.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[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]

Nolting, H.-P.

C. Bornholdt, 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]

Nowak, W.

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

Orlov, S. S.

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]

Peng, G.-D.

A. Ankiewicz, Z. H. Wang, and G.-D. Peng, “Analysis of narrow bandpass filter using coupler with Bragg grating in transmission,” Opt. Commun. 156(1-3), 27–31 (1998).
[CrossRef]

A. Ankiewicz and G.-D. Peng, “Narrow bandpass filter using Bragg grating coupler in transmission mode,” Electron. Lett. 33(25), 2151–2153 (1997).
[CrossRef]

Poladian, L.

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, 31 (1999).

Raybon, G.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[CrossRef]

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. Bornholdt, 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]

Rigole, P.-J.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[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.

Sauer, M.

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

Schmidt, R. V.

R. C. Alferness and R. V. Schmidt, “Tunable optical waveguide directional coupler filter,” Appl. Phys. Lett. 33(2), 161–163 (1978).
[CrossRef]

Seifert, J.

I. Baumann, J. Seifert, W. Nowak, 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).

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. Carré, 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.

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. Carré, 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]

Stalnacke, B.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

Stenzel, R.

C. Bornholdt, 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]

Stoltz, B.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

Swillo, M.

M. Dainese, M. Swillo, L. Wosinski, and L. Thylen, “Directional coupler wavelength selective filter based on dispersive Bragg reflection waveguide,” Opt. Commun. 260(2), 514–521 (2006).
[CrossRef]

Syms, R. R. A.

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, 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]

H. F. Taylor, “Frequency-selective coupling in parallel dielectric waveguides,” Opt. Commun. 8(4), 421–425 (1973).
[CrossRef]

Thyagarajan, K.

R. Das and K. Thyagarajan, “Strong dispersive features of dual Bragg cladding waveguides using higher-order mode-coupling mechanism,” J. Opt. A, Pure Appl. Opt. 11(10), 105410 (2009).
[CrossRef]

Thylen, L.

M. Dainese, M. Swillo, L. Wosinski, and L. Thylen, “Directional coupler wavelength selective filter based on dispersive Bragg reflection waveguide,” Opt. Commun. 260(2), 514–521 (2006).
[CrossRef]

Valle’e, R.

Vallée, R.

Van Essen, S.

Venghaus, H.

C. Bornholdt, 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]

Wallin, J.

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

Wang, Z. H.

A. Ankiewicz, Z. H. Wang, and G.-D. Peng, “Analysis of narrow bandpass filter using coupler with Bragg grating in transmission,” Opt. Commun. 156(1-3), 27–31 (1998).
[CrossRef]

Weinert, C. M.

C. Bornholdt, 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]

West, B. R.

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. Carré, 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]

Winick, K. A.

K. A. Winick, “Design of grating-assisted waveguide couplers with weighted coupling,” J. Lightwave Technol. 9(11), 1481–1492 (1991).
[CrossRef]

Wosinski, L.

M. Dainese, M. Swillo, L. Wosinski, and L. Thylen, “Directional coupler wavelength selective filter based on dispersive Bragg reflection waveguide,” Opt. Commun. 260(2), 514–521 (2006).
[CrossRef]

Wu, C.

B. E. Little, C. Wu, and W. P. Huang, “Synthesis of codirectional couplers with ultralow sidelobes and minimum bandwidth,” Opt. Lett. 20(11), 1259–1261 (1995).
[CrossRef] [PubMed]

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.

Yeh, C.

C. Elachi and C. Yeh, “Frequency selective coupler for integrated optics systems,” Opt. Commun. 7(3), 201–204 (1973).
[CrossRef]

Yeh, P.

Yesayan, A.

Young, M. G.

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[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)

Appl. Phys. Lett. (4)

C. Bornholdt, 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]

R. C. Alferness, “Optical directional couplers with weighted coupling,” Appl. Phys. Lett. 35, 109–126 (1978).

R. C. Alferness and R. V. Schmidt, “Tunable optical waveguide directional coupler filter,” Appl. Phys. Lett. 33(2), 161–163 (1978).
[CrossRef]

R. C. Alferness, U. Koren, L. L. Buhl, B. I. Miller, M. G. Young, T. L. Koch, G. Raybon, and C. A. Burrus, “Broadly tunable InGaAsP/InP laser based on a vertical coupler filter with 57-nm tuning range,” Appl. Phys. Lett. 60(26), 3209–3211 (1992).
[CrossRef]

Electron. Lett. (6)

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

Y.-H. Jan, M. E. Heimbuch, L. A. Coldren, and S. P. DenBaars, “InP/InGaAsP grating-assisted codirectional coupler tunable receiver with a 30nm wavelength tuning range,” Electron. Lett. 32(18), 1697–1698 (1996).
[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]

A. Lupu, P. Win, H. Sik, P. Boulet, M. Carré, 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. Ankiewicz and G.-D. Peng, “Narrow bandpass filter using Bragg grating coupler in transmission mode,” Electron. Lett. 33(25), 2151–2153 (1997).
[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]

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. (5)

I. Baumann, J. Seifert, W. Nowak, 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]

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).

P.-J. Rigole, S. Nilsson, L. Backbom, T. Klinga, J. Wallin, B. Stalnacke, E. Berglind, and B. Stoltz, “114-nm wavelength tuning range of a vertical grating assisted codirectional coupler laser with a super structure grating distributed Bragg reflector,” IEEE Photon. Technol. Lett. 7(7), 697–699 (1995).
[CrossRef]

J. Lightwave Technol. (6)

D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part I: Synchronous couplers,” J. Lightwave Technol. 5(1), 113–118 (1987).
[CrossRef]

D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part II: Grating-assisted couplers,” J. Lightwave Technol. 5(2), 268–273 (1987).
[CrossRef]

K. A. Winick, “Design of grating-assisted waveguide couplers with weighted coupling,” J. Lightwave Technol. 9(11), 1481–1492 (1991).
[CrossRef]

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

J. Hong and W. P. Huang, “Contra-directional coupling in grating-assisted guided-wave devices,” J. Lightwave Technol. 10(7), 873–881 (1992).
[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. A, Pure Appl. Opt. (1)

R. Das and K. Thyagarajan, “Strong dispersive features of dual Bragg cladding waveguides using higher-order mode-coupling mechanism,” J. Opt. A, Pure Appl. Opt. 11(10), 105410 (2009).
[CrossRef]

J. Opt. Soc. Am. A (5)

J. Opt. Soc. Am. B (2)

Opt. Commun. (5)

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

A. Ankiewicz, Z. H. Wang, and G.-D. Peng, “Analysis of narrow bandpass filter using coupler with Bragg grating in transmission,” Opt. Commun. 156(1-3), 27–31 (1998).
[CrossRef]

M. Dainese, M. Swillo, L. Wosinski, and L. Thylen, “Directional coupler wavelength selective filter based on dispersive Bragg reflection waveguide,” Opt. Commun. 260(2), 514–521 (2006).
[CrossRef]

H. F. Taylor, “Frequency-selective coupling in parallel dielectric waveguides,” Opt. Commun. 8(4), 421–425 (1973).
[CrossRef]

C. Elachi and C. Yeh, “Frequency selective coupler for integrated optics systems,” Opt. Commun. 7(3), 201–204 (1973).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Opt. Quantum Electron. (2)

P. Bienstman and R. Baets, “Optical Modelling of Photonic Crystals and VCSELs using Eigenmode Expansion and Perfectly Matched Layers,” Opt. Quantum Electron. 33(4/5), 327–341 (2001).
[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]

Other (1)

http://camfr.sourceforge.net .

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Figures (5)

Fig. 1
Fig. 1

Schematic view of the Bragg grating asymmetric directional coupler (BGADC).

Fig. 2
Fig. 2

In color: dispersion curves of the constant index (n 1) BG waveguide for increasing values of the coupling coefficient χ 1 (from blue to light green). In black: dispersion line of the uniform waveguide with constant index n 2. (a) n 1>n 2 ; (b) n 1<n 2.

Fig. 3
Fig. 3

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

Fig. 4
Fig. 4

Drop-port exchange transmission spectral response for several values of the coupling coefficient χ 1. (a) n 1 = 3.255, n 2 = 3.25 (b) n 1 = 3.255, n 2 = 3.26.

Fig. 5
Fig. 5

Transmission and reflection spectra for thru-and drop-ports. (a) n 1>n 2 (b) n 1<n 2. Insets show the enlarged view in the vicinity of the phase matching wavelengths.

Equations (23)

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Δ λ 3 d B λ 0 = 0.8 L [ n 1 λ n 2 λ ] 1
β e q = ( π Λ ± ( k n π Λ ) 2 χ 2 )
π Λ 1 ± ( k n 1 π Λ 1 ) 2 χ 1 2 = π Λ 2 ± ( k n 2 π Λ 2 ) 2 χ 2 2
k = π Λ ( n 1 n 2 ) ± ( π Λ ) 2 ( n 1 n 2 ) 2 + ( n 1 2 n 2 2 ) ( χ 1 2 χ 2 2 ) ( n 1 2 n 2 2 )
χ t h = π Λ | ( n 1 n 2 1 ) | + n 1 n 2 χ 2
χ d = ( π Λ ) 2 n 2 n 1 n 2 + n 1 + χ 2 2
d d z A = j M ± A
M ± = ( β 1 ± χ 1 κ ± χ 12 χ 1 β 1 χ 12 κ κ ± χ 12 β 2 ± χ 2 χ 12 κ χ 2 β 2 )
d d z B = j Γ ± B
Γ ± = ( γ 1 ± 0 0 0 0 γ 1 ± 0 0 0 0 γ 2 ± 0 0 0 0 γ 2 ± )
B ( Λ ± ) = T ± ( Λ ± ) B ( 0 )
T ± ( Λ ) = ( e i γ 1 ± Λ ± 0 0 0 0 e i γ 1 ± Λ ± 0 0 0 0 e i γ 2 ± Λ ± 0 0 0 0 e i γ 2 ± Λ ± )
T 1 = O T ( Λ ) O 1 O + T + ( Λ + ) O + 1
T = [ T 1 ] p
A ( L ) = T A ( 0 )
A ( 0 ) = [ 0 , R × ,   ​ 1 , R / / ] T
A ( L ) = [ T × , 0 ,   ​ T / / , 0 ] T
κ = π 2 L
χ 12 = Λ ( χ 1 + χ 2 ) κ
χ 1 = Δ n 1 Λ n 1
k = 1 n 1 ( π Λ ± χ 1 ) = 1 n 2 ( π Λ ± χ 2 )
T // = T 33 + R × T 32 + R // T 34 T × = T 13 + R × T 32 + R // T 14 R // = ( T 23 T 42 T 22 T 43 ) / ( T 24 T 42 T 22 T 44 ) R × = ( T 23 T 44 T 24 T 43 ) / ( T 24 T 42 T 22 T 44 )
χ 12 = ( Δ n 1 n 1 + Δ n 2 n 2 ) κ

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