Abstract

A general and practical approach for designing ultra-fast all-optical (all-fiber) signal processing devices based on chirped fiber Bragg gratings (C-FBGs) working in transmission is presented. The approach can be used to design any minimum-phase linear optical device, e.g., first and high-order all-optical time differentiators and integrators and a large variety of optical pulse shapers, significantly overcoming the bandwidth limitations of previous FBG-based designs. Processing speeds in the THz range, corresponding to sub-picosecond time features, can be achieved using readily feasible grating apodization profiles. The approach is successfully proved through the design of two relevant functionalities, namely a THz-bandwidth optical differentiator and a 1-ps flat-top optical pulse shaper.

© 2013 IEEE

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  1. J. Azaña, C. K. Madsen, K. Takiguchi, G. Cincontti, "Optical signal processing," J. Lightw. Technol. 24, 2484-2486 (2006) Special Issue on.
  2. P. Petropoulos, M. Ibsen, A. D. Ellis, D. J. Richardson, "Rectangular pulse generation based on pulse reshaping using superstructured fiber Bragg grating," J. Lightw. Technol. 19, 746-752 (2001).
  3. R. Slavík, Y. Park, M. Kulishov, R. Morandotti, J. Azaña, "Ultrafast all-optical differentiators," Opt. Exp. 14, 10699-10707 (2006).
  4. N. Q. Ngo, "Design of an optical temporal integrator based on a phase-shifted fiber Bragg grating in transmission," Opt. Lett. 32, 3020-3022 (2007).
  5. J. Ge, C. Wang, X. Zhu, "Fractional optical Hilbert transform using phase shifted fiber Bragg gratings," Opt. Commun. 284, 3251-3257 (2011).
  6. J. Skaar, "Synthesis of fiber Bragg gratings for use in transmission," J. Opt. Soc. Amer. A 18, 557-564 (2001).
  7. L. Poladian, "Group-delay reconstruction for fiber Bragg gratings in reflection and transmission," Opt. Lett. 22, 1571-1573 (1997).
  8. M. A. Preciado, M. A. Muriel, "Design of an ultrafast all-optical differentiator based on a fiber Bragg grating in transmission," Opt. Lett. 33, 2458-2460 (2008).
  9. M. A. Preciado, M. A. Muriel, "Flat-top pulse generation based on a fiber Bragg grating in transmission," Opt. Lett. 34, 752-754 (2009).
  10. J. Azaña, L. R. Chen, "Synthesis of temporal optical waveforms by fiber Bragg gratings: A new approach based on space-to-frequency-to-time mapping," J. Opt. Soc. Amer. B 19, 2758-2769 (2002).
  11. L. M. Rivas, K. Singh, A. Carballar, J. Azaña, "Arbitrary-order ultrabroadband all-optical differentiators based on fiber Bragg gratings," IEEE Photon. Technol. Lett. 19, 1209-1211 (2007).
  12. R. Feced, M. N. Zervas, M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quantum Electron. 35, 1105-1115 (1999).
  13. T. Erdogan, "Fiber grating spectra," J. Lightw. Technol. 15, 1277-1294 (1997).
  14. G. Brochu, S. LaRochelle, N. Ayotte, "Dynamics of hydrogen diffusion as a key component of the photosensitivity response of hydrogen-loaded optical fiber," J. Lightw. Technol. 27, 3123-3134 (2009).
  15. R. Feced, M. N. Zervas, "Effects of random phase and amplitude errors in optical fiber Bragg gratings," J. Lightw. Technol. 18, 90-101 (2000).
  16. A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, 1962).
  17. A. Asseh, H. Storoy, B. E. Sahlgren, S. Sandgren, R. A. H. Stubbe, "A writing technique for long fiber Bragg gratings with complex reflectivity profiles," J. Lightw. Technol. 15, 1419-1423 (1997).
  18. M. Ibsen, M. K. Durkin, K. Ennser, M. J. Cole, R. I. Laming, "Long continuously chirped fibre Bragg gratings for compensation of linear and 3rd order-dispersion," Proc. ECOC) (1997) pp. 49-52.

2011 (1)

J. Ge, C. Wang, X. Zhu, "Fractional optical Hilbert transform using phase shifted fiber Bragg gratings," Opt. Commun. 284, 3251-3257 (2011).

2009 (2)

M. A. Preciado, M. A. Muriel, "Flat-top pulse generation based on a fiber Bragg grating in transmission," Opt. Lett. 34, 752-754 (2009).

G. Brochu, S. LaRochelle, N. Ayotte, "Dynamics of hydrogen diffusion as a key component of the photosensitivity response of hydrogen-loaded optical fiber," J. Lightw. Technol. 27, 3123-3134 (2009).

2008 (1)

2007 (2)

L. M. Rivas, K. Singh, A. Carballar, J. Azaña, "Arbitrary-order ultrabroadband all-optical differentiators based on fiber Bragg gratings," IEEE Photon. Technol. Lett. 19, 1209-1211 (2007).

N. Q. Ngo, "Design of an optical temporal integrator based on a phase-shifted fiber Bragg grating in transmission," Opt. Lett. 32, 3020-3022 (2007).

2006 (2)

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, J. Azaña, "Ultrafast all-optical differentiators," Opt. Exp. 14, 10699-10707 (2006).

J. Azaña, C. K. Madsen, K. Takiguchi, G. Cincontti, "Optical signal processing," J. Lightw. Technol. 24, 2484-2486 (2006) Special Issue on.

2002 (1)

J. Azaña, L. R. Chen, "Synthesis of temporal optical waveforms by fiber Bragg gratings: A new approach based on space-to-frequency-to-time mapping," J. Opt. Soc. Amer. B 19, 2758-2769 (2002).

2001 (2)

J. Skaar, "Synthesis of fiber Bragg gratings for use in transmission," J. Opt. Soc. Amer. A 18, 557-564 (2001).

P. Petropoulos, M. Ibsen, A. D. Ellis, D. J. Richardson, "Rectangular pulse generation based on pulse reshaping using superstructured fiber Bragg grating," J. Lightw. Technol. 19, 746-752 (2001).

2000 (1)

R. Feced, M. N. Zervas, "Effects of random phase and amplitude errors in optical fiber Bragg gratings," J. Lightw. Technol. 18, 90-101 (2000).

1999 (1)

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

1997 (3)

T. Erdogan, "Fiber grating spectra," J. Lightw. Technol. 15, 1277-1294 (1997).

A. Asseh, H. Storoy, B. E. Sahlgren, S. Sandgren, R. A. H. Stubbe, "A writing technique for long fiber Bragg gratings with complex reflectivity profiles," J. Lightw. Technol. 15, 1419-1423 (1997).

L. Poladian, "Group-delay reconstruction for fiber Bragg gratings in reflection and transmission," Opt. Lett. 22, 1571-1573 (1997).

IEEE Photon. Technol. Lett. (1)

L. M. Rivas, K. Singh, A. Carballar, J. Azaña, "Arbitrary-order ultrabroadband all-optical differentiators based on fiber Bragg gratings," IEEE Photon. Technol. Lett. 19, 1209-1211 (2007).

IEEE J. Quantum Electron. (1)

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

J. Lightw. Technol. (2)

R. Feced, M. N. Zervas, "Effects of random phase and amplitude errors in optical fiber Bragg gratings," J. Lightw. Technol. 18, 90-101 (2000).

P. Petropoulos, M. Ibsen, A. D. Ellis, D. J. Richardson, "Rectangular pulse generation based on pulse reshaping using superstructured fiber Bragg grating," J. Lightw. Technol. 19, 746-752 (2001).

J. Lightw. Technol. (4)

J. Azaña, C. K. Madsen, K. Takiguchi, G. Cincontti, "Optical signal processing," J. Lightw. Technol. 24, 2484-2486 (2006) Special Issue on.

A. Asseh, H. Storoy, B. E. Sahlgren, S. Sandgren, R. A. H. Stubbe, "A writing technique for long fiber Bragg gratings with complex reflectivity profiles," J. Lightw. Technol. 15, 1419-1423 (1997).

T. Erdogan, "Fiber grating spectra," J. Lightw. Technol. 15, 1277-1294 (1997).

G. Brochu, S. LaRochelle, N. Ayotte, "Dynamics of hydrogen diffusion as a key component of the photosensitivity response of hydrogen-loaded optical fiber," J. Lightw. Technol. 27, 3123-3134 (2009).

J. Opt. Soc. Amer. A (1)

J. Skaar, "Synthesis of fiber Bragg gratings for use in transmission," J. Opt. Soc. Amer. A 18, 557-564 (2001).

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

J. Azaña, L. R. Chen, "Synthesis of temporal optical waveforms by fiber Bragg gratings: A new approach based on space-to-frequency-to-time mapping," J. Opt. Soc. Amer. B 19, 2758-2769 (2002).

Opt. Lett. (1)

M. A. Preciado, M. A. Muriel, "Flat-top pulse generation based on a fiber Bragg grating in transmission," Opt. Lett. 34, 752-754 (2009).

Opt. Commun. (1)

J. Ge, C. Wang, X. Zhu, "Fractional optical Hilbert transform using phase shifted fiber Bragg gratings," Opt. Commun. 284, 3251-3257 (2011).

Opt. Exp. (1)

R. Slavík, Y. Park, M. Kulishov, R. Morandotti, J. Azaña, "Ultrafast all-optical differentiators," Opt. Exp. 14, 10699-10707 (2006).

Opt. Lett. (3)

Other (2)

M. Ibsen, M. K. Durkin, K. Ennser, M. J. Cole, R. I. Laming, "Long continuously chirped fibre Bragg gratings for compensation of linear and 3rd order-dispersion," Proc. ECOC) (1997) pp. 49-52.

A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, 1962).

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