Abstract

We experimentally demonstrate a fiber-optic programmable optical pulse shaper based on time-domain binary phase-only linear filtering, which is capable of switching picosecond pulse shapes at unprecedented sub-GHz rates by simply updating the binary signal driving an electro-optic phase-modulator (EO-PM). The required binary phase-filtering functions are computed using a genetic algorithm (GA). One limitation of the binary phase-filtering approach is the inherent symmetry of the output temporal shapes. To generate fully arbitrary time-domain intensity profiles (including asymmetric temporal waveforms) we must employ a multi-level phase-filtering function. However, the size of the solution-space and complexity of the computation multiplies to manifolds as the number of levels in the phase-filtering function increases. Here we numerically demonstrate a simple strategy, by combining the Gerchberg-Saxton algorithm (GSA) and GA, for the fast computation of multi-level phase-filtering functions. The performance of this approach is numerically proven by generating different asymmetric pulse shapes of practical interest, assuming experimentally feasible design parameters.

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2009 (2)

F. Parmigiani, P. Petropoulos, M. Ibsen, P. J. Almeida, T. T. Ng, D. J. Richardson, "Time domain add-drop multiplexing scheme enhanced using a saw-tooth pulse shaper," Opt. Exp. 17, 8362-8369 (2009).

S. Thomas, A. Malacarne, F. Fresi, L. Potì, A. Bogoni, J. Azaña, "Programmable fiber-based picosecond optical pulse shaper using time-domain binary phase-only linear filtering," Opt. Lett. 34, 545-547 (2009).

2008 (3)

R. E. Saperstein, Y. Fainman, "Information processing with longitudinal spectral decomposition of ultrafast pulses," Appl. Opt. 47, A21-A31 (2008).

L. K. Oxenløwe, R. Slavik, M. Galili, H. C. H. Mulvad, A. T. Clausen, Y. Park, J. Azaña, P. Jeppesen, "640 Gb/s timing jitter-tolerant data processing using a long-period fiber-grating-based flat-top pulse shaper," IEEE J. Selec. Top. Quantum Electron. 14, 566-572 (2008).

R. P. Scott, N. K. Fontaine, C. Yang, D. J. Geisler, K. Okamoto, J. P. Heritage, S. J. B. Yoo, "Rapid updating of optical arbitrary waveforms via time-domain multiplexing," Opt. Lett. 33, 1068-1070 (2008).

2007 (3)

C. Huang, D. E. Leaird, A. M. Weiner, "Time-multiplexed photonically enabled radio-frequency arbitrary waveform generation with 100 ps transitions," Opt. Lett. 32, 3242-3244 (2007).

H. Chi, J. Yao, "Waveform distortions due to second-order dispersion and dispersion mismatches in a temporal pulse-shaping system," J. Lightw. Technol. 25, 3528-3535 (2007).

J. P. Heritage, A. M. Weiner, "Advances in spectral optical code-division multiple-access communications," IEEE J. Sel. Top. Quantum Electron. 13, 1351-1369 (2007).

2006 (1)

J. van Howe, C. Xu, "Ultrafast optical signal processing based upon space-time dualities," J. Lightw. Technol. 24, 2649-2662 (2006).

2005 (2)

2004 (2)

J. Kim, J. Bae, Y.-G. Han, S. H. Kim, J.-M. Jeong, S. B. Lee, "Effectively tunable dispersion compensation based on chirped fiber Bragg gratings without central wavelength shift," IEEE Photon. Technol. Lett. 16, 849-851 (2004).

M. Westlund, H. Sunnerud, B.-E. Olsson, P. A. Andrekson, "Simple scheme for polarization-independent all-optical sampling," IEEE Photon. Technol. Lett. 16, 2108-2110 (2004).

2003 (1)

J. Azana, "Design specifications of time-domain spectral shaping optical system based on dispersion and temporal modulation," Electron. Lett. 39, 1530-1532 (2003).

2002 (2)

A. Rundquist, A. Efimov, D. H. Reitze, "Pulse shaping with the Gerchberg-Saxton algorithm," J. Opt. Soc. Amer. B 19, 2468-2478 (2002).

N. Dudovich, D. Oron, Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).

2001 (2)

D. Zeidler, S. Frey, K.-L. Kompa, M. Motzkus, "Evolutionary algorithms and their application to optimal control studies," Phys. Rev. A 64, 023420 (2001).

M. Hacker, G. Stobrawa, T. Feurer, "Iterative Fourier transform algorithm for phase-only pulse shaping," Opt. Exp. 9, 191-199 (2001).

2000 (1)

A. M. Weiner, "Femtosecond pulse shaping using spatial light modulators," Rev. Sci. Instrum. 71, 1929-1960 (2000).

1999 (1)

1998 (1)

D. Meshulach, Y. Silberberg, "Coherent quantum control of two-photon transitions by a femtosecond laser pulse," Nature 396, 239-242 (1998).

1994 (2)

C. W. Hillegas, J. X. Tull, D. Goswami, D. Strickland, W. S. Warren, "Femtosecond laser pulse shaping by use of microsecond radio-frequency pulses," Opt. Lett. 19, 737-739 (1994).

B. H. Kolner, "Space-time duality and the theory of temporal imaging," IEEE J. Quantum Electron. 30, 1951-1963 (1994).

1993 (1)

1990 (1)

1983 (1)

S. Kirkpatrick, C. D. Gelatt, Jr.M. P. Vecchi, "Optimization by simulated anealing," Science 220, 671-680 (1983).

1982 (1)

1972 (1)

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

Appl. Opt. (2)

Electron. Lett. (1)

J. Azana, "Design specifications of time-domain spectral shaping optical system based on dispersion and temporal modulation," Electron. Lett. 39, 1530-1532 (2003).

IEEE J. Quantum Electron. (1)

B. H. Kolner, "Space-time duality and the theory of temporal imaging," IEEE J. Quantum Electron. 30, 1951-1963 (1994).

IEEE J. Sel. Top. Quantum Electron. (1)

J. P. Heritage, A. M. Weiner, "Advances in spectral optical code-division multiple-access communications," IEEE J. Sel. Top. Quantum Electron. 13, 1351-1369 (2007).

IEEE J. Selec. Top. Quantum Electron. (1)

L. K. Oxenløwe, R. Slavik, M. Galili, H. C. H. Mulvad, A. T. Clausen, Y. Park, J. Azaña, P. Jeppesen, "640 Gb/s timing jitter-tolerant data processing using a long-period fiber-grating-based flat-top pulse shaper," IEEE J. Selec. Top. Quantum Electron. 14, 566-572 (2008).

IEEE Photon. Technol. Lett. (2)

J. Kim, J. Bae, Y.-G. Han, S. H. Kim, J.-M. Jeong, S. B. Lee, "Effectively tunable dispersion compensation based on chirped fiber Bragg gratings without central wavelength shift," IEEE Photon. Technol. Lett. 16, 849-851 (2004).

M. Westlund, H. Sunnerud, B.-E. Olsson, P. A. Andrekson, "Simple scheme for polarization-independent all-optical sampling," IEEE Photon. Technol. Lett. 16, 2108-2110 (2004).

J. Lightw. Technol. (2)

H. Chi, J. Yao, "Waveform distortions due to second-order dispersion and dispersion mismatches in a temporal pulse-shaping system," J. Lightw. Technol. 25, 3528-3535 (2007).

J. van Howe, C. Xu, "Ultrafast optical signal processing based upon space-time dualities," J. Lightw. Technol. 24, 2649-2662 (2006).

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

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

A. Rundquist, A. Efimov, D. H. Reitze, "Pulse shaping with the Gerchberg-Saxton algorithm," J. Opt. Soc. Amer. B 19, 2468-2478 (2002).

Nature (2)

D. Meshulach, Y. Silberberg, "Coherent quantum control of two-photon transitions by a femtosecond laser pulse," Nature 396, 239-242 (1998).

N. Dudovich, D. Oron, Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).

Opt. Exp. (2)

F. Parmigiani, P. Petropoulos, M. Ibsen, P. J. Almeida, T. T. Ng, D. J. Richardson, "Time domain add-drop multiplexing scheme enhanced using a saw-tooth pulse shaper," Opt. Exp. 17, 8362-8369 (2009).

M. Hacker, G. Stobrawa, T. Feurer, "Iterative Fourier transform algorithm for phase-only pulse shaping," Opt. Exp. 9, 191-199 (2001).

Opt. Lett. (8)

Optik (1)

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

Phys. Rev. A (1)

D. Zeidler, S. Frey, K.-L. Kompa, M. Motzkus, "Evolutionary algorithms and their application to optimal control studies," Phys. Rev. A 64, 023420 (2001).

Rev. Sci. Instrum. (1)

A. M. Weiner, "Femtosecond pulse shaping using spatial light modulators," Rev. Sci. Instrum. 71, 1929-1960 (2000).

Science (1)

S. Kirkpatrick, C. D. Gelatt, Jr.M. P. Vecchi, "Optimization by simulated anealing," Science 220, 671-680 (1983).

Other (3)

A. Malacarne, S. Thomas, F. Fresi, L. Poti, A. Bogoni, J. Azana, "Demonstration of a programmable all-fibre optical pulse shaper exploiting a single LC-FBG as pre- and post-dispersive medium," in Proc. IEEE LEOS 2008, (2008) Paper ThW3.

F. Fresi, A. Chiuchiarelli, A. Malacarne, L. Poti, A. Bogoni, "640 Gb/s RZ eye-diagram evaluation by optical sampling oscilloscope w/o post-processing and ms refresh time," presented at CLEO/QELS 2008, (2008).

R. L. Haupt, S. E. Haupt, Practical Genetic Algorithms (Wiley, 2004).

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