Abstract

We consider an approach to designing complex multichannel filters for ultrabroadband applications. In contrast to earlier approaches that are restricted to specific problems, our generalized method can be applied to any conceivable fiber Bragg grating (FBG) multichannel design. Our method accomodates hundreds of filter channels that are spaced unevenly in wavelength, with variable widths, depths, and shapes. We demonstrate the power of the method for an FBG design with 150 narrow channels over the region 14001800nm.

© 2008 Optical Society of America

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  1. J. Bland-Hawthorn, M. Englund, and G. Edvell, "New approach to atmospheric OH supression using an aperiodic fibre Bragg grating," Opt. Express 12, 5902-5909 (2004).
    [CrossRef] [PubMed]
  2. P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).
  3. H. Li, T. Kumagai, K. Ogusu, and Y. Sheng, "Advanced design of a multi-channel fiber Bragg grating based on a layer-peeling method," J. Opt. Soc. Am. B 21, 1929-1938 (2004).
    [CrossRef]
  4. N. Plougmann and M. Kristensen, "Efficient iterative technique for designing Bragg gratings," Opt. Lett. 29, 23-25 (2004).
    [CrossRef] [PubMed]
  5. K. Aksnes and J. Skaar, "Design of short fiber Bragg gratings by use of optimization," Appl. Opt. 43, 2226-2230 (2004).
    [CrossRef] [PubMed]
  6. A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.
  7. A. V. Buryak, K. Kolossovski, and D. Yu. Stepanov, "Optimization of refractive Index sampling for multichannel fiber Bragg gratings," IEEE J. Quantum Electron. 39, 91-98 (2003).
    [CrossRef]
  8. Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.
  9. K. Kolossovski, R. A. Sammut, A. V. Buryak, and D. Yu. Stepanov, "Three-step design optimization for multi-channel fibre Bragg gratings," Opt. Express 11, 1029-1038 (2003).
    [CrossRef] [PubMed]
  10. R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237-246 (1972).
  11. A. V. Buryak, "Iterative scheme for the 'mixed' scattering problem," in Bragg Gratings and Photosensitivity & Poling in Glass Waveguides, Vol. 93 of OSA Trends in Optics and Photonics (Optical Society of American, 2003), paper MB3.
  12. J. Skaar, L. Wang, and T. Erdogan,"Synthesis of thick optical thin-film filters with a layer-peeling inverse-scattering algorithm," Appl. Opt. 40, 2183-2189 (2001).
    [CrossRef]
  13. R. Feced, M. N. Zervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quantum Electron. 35, 1105-1115 (1999).
    [CrossRef]

2005 (1)

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

2004 (4)

2003 (3)

A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.

A. V. Buryak, K. Kolossovski, and D. Yu. Stepanov, "Optimization of refractive Index sampling for multichannel fiber Bragg gratings," IEEE J. Quantum Electron. 39, 91-98 (2003).
[CrossRef]

K. Kolossovski, R. A. Sammut, A. V. Buryak, and D. Yu. Stepanov, "Three-step design optimization for multi-channel fibre Bragg gratings," Opt. Express 11, 1029-1038 (2003).
[CrossRef] [PubMed]

2001 (1)

2000 (1)

P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).

1999 (1)

R. Feced, M. N. Zervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quantum Electron. 35, 1105-1115 (1999).
[CrossRef]

1972 (1)

R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237-246 (1972).

Aksnes, K.

Bland-Hawthorn, J.

Brodzeli, Z.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

Buryak, A. V.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.

K. Kolossovski, R. A. Sammut, A. V. Buryak, and D. Yu. Stepanov, "Three-step design optimization for multi-channel fibre Bragg gratings," Opt. Express 11, 1029-1038 (2003).
[CrossRef] [PubMed]

A. V. Buryak, K. Kolossovski, and D. Yu. Stepanov, "Optimization of refractive Index sampling for multichannel fiber Bragg gratings," IEEE J. Quantum Electron. 39, 91-98 (2003).
[CrossRef]

A. V. Buryak, "Iterative scheme for the 'mixed' scattering problem," in Bragg Gratings and Photosensitivity & Poling in Glass Waveguides, Vol. 93 of OSA Trends in Optics and Photonics (Optical Society of American, 2003), paper MB3.

Childs, P.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

Cuby, J. G.

P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).

Edvell, G.

Edwell, G.

A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.

Englund, M.

Erdogan, T.

Feced, R.

R. Feced, M. N. Zervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quantum Electron. 35, 1105-1115 (1999).
[CrossRef]

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237-246 (1972).

Graf, A.

A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.

Kolossovski, K.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.

K. Kolossovski, R. A. Sammut, A. V. Buryak, and D. Yu. Stepanov, "Three-step design optimization for multi-channel fibre Bragg gratings," Opt. Express 11, 1029-1038 (2003).
[CrossRef] [PubMed]

A. V. Buryak, K. Kolossovski, and D. Yu. Stepanov, "Optimization of refractive Index sampling for multichannel fiber Bragg gratings," IEEE J. Quantum Electron. 39, 91-98 (2003).
[CrossRef]

Kristensen, M.

Kumagai, T.

Ladouceur, F.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

Li, H.

Lindman, C.

P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).

Monnet, G.

P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).

Moorels, G.

P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).

Muriel, M. A.

R. Feced, M. N. Zervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quantum Electron. 35, 1105-1115 (1999).
[CrossRef]

Ogusu, K.

Plougmann, N.

Rousselot, P.

P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).

Sammut, R. A.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

K. Kolossovski, R. A. Sammut, A. V. Buryak, and D. Yu. Stepanov, "Three-step design optimization for multi-channel fibre Bragg gratings," Opt. Express 11, 1029-1038 (2003).
[CrossRef] [PubMed]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237-246 (1972).

Sheng, Y.

Skaar, J.

Wang, L.

Whitbread, T.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

Yu. Stepanov, D.

A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.

K. Kolossovski, R. A. Sammut, A. V. Buryak, and D. Yu. Stepanov, "Three-step design optimization for multi-channel fibre Bragg gratings," Opt. Express 11, 1029-1038 (2003).
[CrossRef] [PubMed]

A. V. Buryak, K. Kolossovski, and D. Yu. Stepanov, "Optimization of refractive Index sampling for multichannel fiber Bragg gratings," IEEE J. Quantum Electron. 39, 91-98 (2003).
[CrossRef]

Zervas, M. N.

R. Feced, M. N. Zervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quantum Electron. 35, 1105-1115 (1999).
[CrossRef]

Appl. Opt. (2)

Astron. Astrophys. (1)

P. Rousselot, C. Lindman, J. G. Cuby, G. Moorels, and G. Monnet, "Night sky spectral atlas of OH emission lines in the near infrared," Astron. Astrophys. 354, 1134-1150 (2000).

IEEE J. Quantum Electron. (2)

A. V. Buryak, K. Kolossovski, and D. Yu. Stepanov, "Optimization of refractive Index sampling for multichannel fiber Bragg gratings," IEEE J. Quantum Electron. 39, 91-98 (2003).
[CrossRef]

R. Feced, M. N. Zervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quantum Electron. 35, 1105-1115 (1999).
[CrossRef]

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

Opt. Express (2)

Opt. Lett. (1)

Optik (Stuttgart) (1)

R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237-246 (1972).

Other (3)

A. V. Buryak, "Iterative scheme for the 'mixed' scattering problem," in Bragg Gratings and Photosensitivity & Poling in Glass Waveguides, Vol. 93 of OSA Trends in Optics and Photonics (Optical Society of American, 2003), paper MB3.

Z. Brodzeli, A. V. Buryak, P. Childs, T. Whitbread, K. Kolossovski, R. A. Sammut, and F. Ladouceur, "Novel technique for fabrication of extra-long FBGs," in Proceedings of Australian Conference on Optical Fiber Tecnology (ACOFT) (ACOFT, 2005), pp. 49-51.

A. V. Buryak, G. Edwell, A. Graf, K. Kolossovski, D. Yu. Stepanov, "Recent progress and novel directions in multi-channel FBG dispersion compensators," in Conference on Lasers and Electro-Optics (CLEO), Vol. 88 of Trends in Optics and Photonics (Optical Society of America, 2003), invited paper CTuI1.

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Figures (5)

Fig. 1
Fig. 1

Optimization results: grating profile (a) before and (b) after the sequential preoptimization procedure.

Fig. 2
Fig. 2

Schematic of the stage 2 iterative optimization procedure.

Fig. 3
Fig. 3

Final results after stage 2: (a) grating amplitude profile, (b) grating phase profile.

Fig. 4
Fig. 4

Final results after stage 2: the optimized transmission spectrum in dB units over the complete bandwidth. The dashed lines indicate the prespecified wavelengths in Appendix A.

Fig. 5
Fig. 5

Final results after stage 2: a magnified region of Fig. 4 to show the shape of individual filter profiles and the degree of alignment with the prespecified wavelengths.

Tables (1)

Tables Icon

Table 1 Wavelengths (Å) and Suppression Factors (dB) Used in the 150-Channel Filter Design

Equations (5)

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r l ( k ) = r l ( k ) e i Ψ l ( k ) , l = 1 , 2 , , N ,
r l ( k ) = R l cosh [ 2 ( k k l ) Δ k l ] 4 ,
Ψ l ( k ) φ l + D 1 ( l ) k + 1 2 ! D 2 ( l ) k 2 .
q ( z ) = G 1 [ r ( k ) ] l = 1 N G 1 [ r l ( k ) ] l = 1 N q l ( z ) e 2 i k l ( z ) z ,
q ( z ) 2 = l = 1 N q l ( z ) e 2 i k l ( z ) z 2 = l = 1 N q l ( z ) 2 + l p q l ( z ) q p * ( z ) e 2 i z ( k l ( z ) k p ( z ) ) .

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