Abstract

We demonstrate optical arbitrary pulse-train generation using spectral line-by-line pulse shaping. The pulse train within each period can be independently controlled as specified.

© 2007 Optical Society of America

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References

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  1. A. M. Weiner, "Femtosecond pulse shaping using spatial light modulators," Rev. Sci. Instrum. 71, 1929-1960 (2000).
    [CrossRef]
  2. A. M. Weiner and D. E. Leaird, "Generation of terahertz-rate trains of femtosecond pulses by phase-only filtering," Opt. Lett. 15, 51-53 (1990).
    [CrossRef] [PubMed]
  3. M. M. Wefers and K. A. Nelson, "Generation of high-fidelity programmable ultrafast optical waveforms," Opt. Lett. 20, 1047-1049 (1995).
    [CrossRef] [PubMed]
  4. C. W. Hillegas, J. X. Tull, D. Goswami, D. Strickland, and W. S. Warren, "Femtosecond laser pulse shaping by use of microsecond radio frequency pulses," Opt. Lett. 19, 737-739 (1994).
    [CrossRef] [PubMed]
  5. D. E. Leaird and A. M. Weiner, "Femtosecond optical packet generation by a direct space-to-time pulse shaper," Opt. Lett. 24, 853-855 (1999).
    [CrossRef]
  6. D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, "Generation of high-repetition-rate WDM pulse trains from an arrayed-waveguide grating," IEEE Photonics Technol. Lett. 13, 221-223 (2001).
    [CrossRef]
  7. D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
    [CrossRef]
  8. T. Sizer II, "Increase in laser repetition rate by spectral selection," IEEE J. Quantum Electron. 25, 97-103 (1989).
    [CrossRef]
  9. P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
    [CrossRef]
  10. K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Pérot filtering," IEEE Photonics Technol. Lett. 15, 1294-1296 (2003).
    [CrossRef]
  11. C.-B. Huang and Y. C. Lai, "Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering," IEEE Photonics Technol. Lett. 12, 167-169 (2000).
    [CrossRef]
  12. J. Azana and M. A. Muriel, "Temporal self-imaging effects: theory and application for multiplying pulse repetition rates," IEEE J. Sel. Top. Quantum Electron. 7, 728-744 (2001).
    [CrossRef]
  13. S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photonics Technol. Lett. 12, 1498-1500 (2000).
    [CrossRef]
  14. D. Pudo and L. R. Chen, "Tunable passive all-optical pulse repetition rate multiplier using fiber Bragg gratings," J. Lightwave Technol. 23, 1729-1733 (2005).
    [CrossRef]
  15. S. Atkins and B. Fischer, "All-optical pulse rate multiplication using fractional Talbot effect and field-to-intensity conversion with cross-gain modulation," IEEE Photonics Technol. Lett. 15, 132-134 (2003).
    [CrossRef]
  16. J. D. McKinney, D. S. Seo, D. E. Leaird, and A. M. Weiner, "Photonically assisted generation of arbitrary millimeter-wave and microwave electromagnetic waveforms via direct space-to-time optical pulse shaping," J. Lightwave Technol. 21, 3020-3028 (2003).
    [CrossRef]
  17. B. Xia and L. R. Chen, "A direct temporal domain approach for pulse-repetition rate multiplication with arbitrary envelope shaping," IEEE J. Sel. Top. Quantum Electron. 11, 165-172 (2005).
    [CrossRef]
  18. B. Xia and L. R. Chen, "Ring resonator arrays for pulse repetition rate multiplication and shaping," IEEE Photonics Technol. Lett. 18, 1999-2001 (2006).
    [CrossRef]
  19. B. Xia, L. R. Chen, P. Dumais, and C. L. Callender, "Ultrafast pulse train generation with binary code patterns using planar lightwave circuits," Electron. Lett. 42, 1119-1120 (2006).
    [CrossRef]
  20. Z. Jiang, D. S. Seo, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping," Opt. Lett. 30, 1557-1559 (2005).
    [CrossRef] [PubMed]
  21. Z. Jiang, D. E. Leaird, and A. M. Weiner, "Line-by-line pulse shaping control for optical arbitrary waveform generation," Opt. Express 13, 10431-10439 (2005).
    [CrossRef] [PubMed]
  22. S. T. Cundiff, 'Phase stabilization of ultrashort optical pulses," J. Phys. D 35, R43-R59 (2002).
    [CrossRef]
  23. J. Caraquitena, Z. Jiang, D. E. Leaird, and A. M. Weiner, "Tunable pulse repetition-rate multiplication using phase-only line-by-line pulse shaping," Opt. Lett. 32, 716-718 (2007).
    [CrossRef] [PubMed]
  24. T. Brixner and G. Gerber, "Femtosecond polarization pulse shaping," Opt. Lett. 26, 557-559 (2001).
    [CrossRef]
  25. M. Akbulut, R. Nelson, A. M. Weiner, P. Cronin, and P. J. Miller, "Broadband polarization correction with programmable liquid-crystal modulator arrays," Opt. Lett. 29, 1129-1131 (2004).
    [CrossRef] [PubMed]
  26. M. Akbulut, A. M. Weiner, and P. J. Miller, "Wideband all-order polarization mode dispersion compensation via pulse shaping," Opt. Lett. 30, 2691-2693 (2005).
    [CrossRef] [PubMed]
  27. L. Polachek, D. Oron, and Y. Silberberg, "Full control of the spectral polarization of ultrashort pulses," Opt. Lett. 31, 631-633 (2006).
    [CrossRef] [PubMed]
  28. C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, "The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping," Opt. Express 14, 13164-13176 (2006).
    [CrossRef] [PubMed]
  29. Z. Jiang, D. E. Leaird, and A. M. Weiner, "Optical processing based on spectral line-by-line pulse shaping on a phase modulated CW laser," IEEE J. Quantum Electron. 42, 657-665 (2006).
    [CrossRef]

2007 (1)

2006 (5)

B. Xia and L. R. Chen, "Ring resonator arrays for pulse repetition rate multiplication and shaping," IEEE Photonics Technol. Lett. 18, 1999-2001 (2006).
[CrossRef]

B. Xia, L. R. Chen, P. Dumais, and C. L. Callender, "Ultrafast pulse train generation with binary code patterns using planar lightwave circuits," Electron. Lett. 42, 1119-1120 (2006).
[CrossRef]

L. Polachek, D. Oron, and Y. Silberberg, "Full control of the spectral polarization of ultrashort pulses," Opt. Lett. 31, 631-633 (2006).
[CrossRef] [PubMed]

C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, "The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping," Opt. Express 14, 13164-13176 (2006).
[CrossRef] [PubMed]

Z. Jiang, D. E. Leaird, and A. M. Weiner, "Optical processing based on spectral line-by-line pulse shaping on a phase modulated CW laser," IEEE J. Quantum Electron. 42, 657-665 (2006).
[CrossRef]

2005 (5)

2004 (1)

2003 (4)

S. Atkins and B. Fischer, "All-optical pulse rate multiplication using fractional Talbot effect and field-to-intensity conversion with cross-gain modulation," IEEE Photonics Technol. Lett. 15, 132-134 (2003).
[CrossRef]

J. D. McKinney, D. S. Seo, D. E. Leaird, and A. M. Weiner, "Photonically assisted generation of arbitrary millimeter-wave and microwave electromagnetic waveforms via direct space-to-time optical pulse shaping," J. Lightwave Technol. 21, 3020-3028 (2003).
[CrossRef]

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Pérot filtering," IEEE Photonics Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

2002 (1)

S. T. Cundiff, 'Phase stabilization of ultrashort optical pulses," J. Phys. D 35, R43-R59 (2002).
[CrossRef]

2001 (3)

T. Brixner and G. Gerber, "Femtosecond polarization pulse shaping," Opt. Lett. 26, 557-559 (2001).
[CrossRef]

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, "Generation of high-repetition-rate WDM pulse trains from an arrayed-waveguide grating," IEEE Photonics Technol. Lett. 13, 221-223 (2001).
[CrossRef]

J. Azana and M. A. Muriel, "Temporal self-imaging effects: theory and application for multiplying pulse repetition rates," IEEE J. Sel. Top. Quantum Electron. 7, 728-744 (2001).
[CrossRef]

2000 (4)

S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photonics Technol. Lett. 12, 1498-1500 (2000).
[CrossRef]

C.-B. Huang and Y. C. Lai, "Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering," IEEE Photonics Technol. Lett. 12, 167-169 (2000).
[CrossRef]

P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
[CrossRef]

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

1999 (1)

1995 (1)

1994 (1)

1990 (1)

1989 (1)

T. Sizer II, "Increase in laser repetition rate by spectral selection," IEEE J. Quantum Electron. 25, 97-103 (1989).
[CrossRef]

Electron. Lett. (2)

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

B. Xia, L. R. Chen, P. Dumais, and C. L. Callender, "Ultrafast pulse train generation with binary code patterns using planar lightwave circuits," Electron. Lett. 42, 1119-1120 (2006).
[CrossRef]

IEEE J. Quantum Electron. (2)

Z. Jiang, D. E. Leaird, and A. M. Weiner, "Optical processing based on spectral line-by-line pulse shaping on a phase modulated CW laser," IEEE J. Quantum Electron. 42, 657-665 (2006).
[CrossRef]

T. Sizer II, "Increase in laser repetition rate by spectral selection," IEEE J. Quantum Electron. 25, 97-103 (1989).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (2)

J. Azana and M. A. Muriel, "Temporal self-imaging effects: theory and application for multiplying pulse repetition rates," IEEE J. Sel. Top. Quantum Electron. 7, 728-744 (2001).
[CrossRef]

B. Xia and L. R. Chen, "A direct temporal domain approach for pulse-repetition rate multiplication with arbitrary envelope shaping," IEEE J. Sel. Top. Quantum Electron. 11, 165-172 (2005).
[CrossRef]

IEEE Photonics Technol. Lett. (6)

B. Xia and L. R. Chen, "Ring resonator arrays for pulse repetition rate multiplication and shaping," IEEE Photonics Technol. Lett. 18, 1999-2001 (2006).
[CrossRef]

S. Atkins and B. Fischer, "All-optical pulse rate multiplication using fractional Talbot effect and field-to-intensity conversion with cross-gain modulation," IEEE Photonics Technol. Lett. 15, 132-134 (2003).
[CrossRef]

S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photonics Technol. Lett. 12, 1498-1500 (2000).
[CrossRef]

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Pérot filtering," IEEE Photonics Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

C.-B. Huang and Y. C. Lai, "Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering," IEEE Photonics Technol. Lett. 12, 167-169 (2000).
[CrossRef]

D. E. Leaird, S. Shen, A. M. Weiner, A. Sugita, S. Kamei, M. Ishii, and K. Okamoto, "Generation of high-repetition-rate WDM pulse trains from an arrayed-waveguide grating," IEEE Photonics Technol. Lett. 13, 221-223 (2001).
[CrossRef]

J. Lightwave Technol. (2)

J. Phys. D (1)

S. T. Cundiff, 'Phase stabilization of ultrashort optical pulses," J. Phys. D 35, R43-R59 (2002).
[CrossRef]

Opt. Express (2)

Z. Jiang, D. E. Leaird, and A. M. Weiner, "Line-by-line pulse shaping control for optical arbitrary waveform generation," Opt. Express 13, 10431-10439 (2005).
[CrossRef] [PubMed]

C.-B. Huang, Z. Jiang, D. E. Leaird, and A. M. Weiner, "The impact of optical comb stability on waveforms generated via spectral line-by-line pulse shaping," Opt. Express 14, 13164-13176 (2006).
[CrossRef] [PubMed]

Opt. Lett. (11)

Z. Jiang, D. S. Seo, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping," Opt. Lett. 30, 1557-1559 (2005).
[CrossRef] [PubMed]

J. Caraquitena, Z. Jiang, D. E. Leaird, and A. M. Weiner, "Tunable pulse repetition-rate multiplication using phase-only line-by-line pulse shaping," Opt. Lett. 32, 716-718 (2007).
[CrossRef] [PubMed]

T. Brixner and G. Gerber, "Femtosecond polarization pulse shaping," Opt. Lett. 26, 557-559 (2001).
[CrossRef]

M. Akbulut, R. Nelson, A. M. Weiner, P. Cronin, and P. J. Miller, "Broadband polarization correction with programmable liquid-crystal modulator arrays," Opt. Lett. 29, 1129-1131 (2004).
[CrossRef] [PubMed]

M. Akbulut, A. M. Weiner, and P. J. Miller, "Wideband all-order polarization mode dispersion compensation via pulse shaping," Opt. Lett. 30, 2691-2693 (2005).
[CrossRef] [PubMed]

L. Polachek, D. Oron, and Y. Silberberg, "Full control of the spectral polarization of ultrashort pulses," Opt. Lett. 31, 631-633 (2006).
[CrossRef] [PubMed]

P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
[CrossRef]

A. M. Weiner and D. E. Leaird, "Generation of terahertz-rate trains of femtosecond pulses by phase-only filtering," Opt. Lett. 15, 51-53 (1990).
[CrossRef] [PubMed]

M. M. Wefers and K. A. Nelson, "Generation of high-fidelity programmable ultrafast optical waveforms," Opt. Lett. 20, 1047-1049 (1995).
[CrossRef] [PubMed]

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

D. E. Leaird and A. M. Weiner, "Femtosecond optical packet generation by a direct space-to-time pulse shaper," Opt. Lett. 24, 853-855 (1999).
[CrossRef]

Rev. Sci. Instrum. (1)

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

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Figures (5)

Fig. 1
Fig. 1

Schematic diagram of the line-by-line pulse shaper.

Fig. 2
Fig. 2

OAPTG examples: repetition rate multiplication (RRM). A, input; B, C; 2 times and 3 times RRM by spectral-intensity-only control; D, 2 times RRM by spectral-phase-only control (temporal Talbot effect).

Fig. 3
Fig. 3

OAPTG examples. A, binary pattern [ 1 1 1 0 ] ; B, ladder pattern [ 0 1 4 1 2 1 ] ; C, arbitrary delay ( Δ τ 1 = 50 ps , Δ τ 2 = 25 ps , Δ τ 3 = 34.3 ps ).

Fig. 4
Fig. 4

OAPTG examples. A, one pulse width is broadened; B, one pulse has spectral cubic phase; C, pulse # 1 has spectral linear phase, pulse # 2 has spectral quadratic phase, pulse # 3 has spectral cubic phase.

Fig. 5
Fig. 5

Spectral line-by-line control applied by the LCM of pulse shaper for OAPTG pattern in Fig. 4C. A, spectral intensity control; B, spectral phase control.

Equations (1)

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H ( ω ) = k a k exp ( i ω τ k ) H k ( ω ) ,

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