Abstract

We propose the simple pulse source, in which the pulses generated by large-signal directly modulated laser diode are phase-modulated, and then compressed into short pulses by an optimized length of DCF. On the one hand, phase modulator is used to enhance the negative chirp of large-signal directly modulated pulses. On the other hand, the large-signal directly modulated pulses are used to suppress the pedestal produced by the phase modulator. Using this technique, highly stable 10-GHz 5.5-ps optical pulses are obtained, which suppress pedestal up to 20dB and have a low timing jitter of 184fs.

© 2007 Optical Society of America

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  1. B. Bakhshi and P. A. Andrekson, "40 GHz actively modelocked, polarization maintaining erbium fiber ring laser," Electron. Lett. 36, 411-413 (2000).
    [CrossRef]
  2. P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
    [CrossRef]
  3. V. Torres-Company, J. Lancis, and P. Andrés, "Unified approach to describe optical pulse generation by propagation of periodically phase-modulated CW laser light," Opt. Express 14, 3171 (2006).
    [CrossRef] [PubMed]
  4. C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
    [CrossRef]
  5. S. Iezekiel, C. M. Snowden, and M. J. Howes, "Generation of ultrashort optical pulses by microwave modulation of laser diodes," IEE Colloquium on Applications of Ultrashort Pulses for Optoelectronics, 9/1 - 9/7 (1989).
  6. T. E. Murphy, "10-GHz 1.3-ps pulse generation using chirped soliton compression in a Raman gain medium," IEEE Photon. Technol. Lett. 14, 1424-1426 (2002).
    [CrossRef]
  7. G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
    [CrossRef]
  8. T. Komukai, T. Yamamoto, and S. Kawanishi, "Optical pulse generator using phase modulator and linearly chirped Fiber Bragg Gratings," IEEE Photon. Technol. Lett. 17, 1746-1748 (2005).
    [CrossRef]
  9. T. Otsuji, M. Yaita, T. Nagatsuma, and E. Sano, "10-80-Gb/s highly extinctive electrooptic pulse pattern generation," IEEE J. Sel. Tops. Quantum Electron. 2, 643-649 (1996).
    [CrossRef]
  10. M. Osinski and J. Buus, "Linewidth broadening factor in semiconductor," IEEE J. Quantum Electron. 23, 9-29 (1987)
    [CrossRef]
  11. C. Harder, K. Vahala, and A. Yariv, "Measurement of the linewidth enhancement factor of semiconductor lasers," Appl. Phys. Lett. 42, 328-330 (1983).
    [CrossRef]
  12. K. Taira and K. Kikuchi, "Subpicosecond pulse generation using an electroabsorption modulator and a double-stage pulse compressor," IEEE Photon. Technol. Lett. 15, 1288-1290 (2003).
    [CrossRef]

2006 (1)

2005 (2)

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

T. Komukai, T. Yamamoto, and S. Kawanishi, "Optical pulse generator using phase modulator and linearly chirped Fiber Bragg Gratings," IEEE Photon. Technol. Lett. 17, 1746-1748 (2005).
[CrossRef]

2003 (1)

K. Taira and K. Kikuchi, "Subpicosecond pulse generation using an electroabsorption modulator and a double-stage pulse compressor," IEEE Photon. Technol. Lett. 15, 1288-1290 (2003).
[CrossRef]

2002 (2)

T. E. Murphy, "10-GHz 1.3-ps pulse generation using chirped soliton compression in a Raman gain medium," IEEE Photon. Technol. Lett. 14, 1424-1426 (2002).
[CrossRef]

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

2000 (1)

B. Bakhshi and P. A. Andrekson, "40 GHz actively modelocked, polarization maintaining erbium fiber ring laser," Electron. Lett. 36, 411-413 (2000).
[CrossRef]

1996 (2)

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

T. Otsuji, M. Yaita, T. Nagatsuma, and E. Sano, "10-80-Gb/s highly extinctive electrooptic pulse pattern generation," IEEE J. Sel. Tops. Quantum Electron. 2, 643-649 (1996).
[CrossRef]

1987 (1)

M. Osinski and J. Buus, "Linewidth broadening factor in semiconductor," IEEE J. Quantum Electron. 23, 9-29 (1987)
[CrossRef]

1983 (1)

C. Harder, K. Vahala, and A. Yariv, "Measurement of the linewidth enhancement factor of semiconductor lasers," Appl. Phys. Lett. 42, 328-330 (1983).
[CrossRef]

Andrekson, P. A.

B. Bakhshi and P. A. Andrekson, "40 GHz actively modelocked, polarization maintaining erbium fiber ring laser," Electron. Lett. 36, 411-413 (2000).
[CrossRef]

Andrés, P.

Bakhshi, B.

B. Bakhshi and P. A. Andrekson, "40 GHz actively modelocked, polarization maintaining erbium fiber ring laser," Electron. Lett. 36, 411-413 (2000).
[CrossRef]

Baraldi, L.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Buus, J.

M. Osinski and J. Buus, "Linewidth broadening factor in semiconductor," IEEE J. Quantum Electron. 23, 9-29 (1987)
[CrossRef]

Chernikov, S. V.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Crosby, P.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Davey, R. P.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Dymott, M.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Gunning, P.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Guy, M. J.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Harder, C.

C. Harder, K. Vahala, and A. Yariv, "Measurement of the linewidth enhancement factor of semiconductor lasers," Appl. Phys. Lett. 42, 328-330 (1983).
[CrossRef]

Kawanishi, S.

T. Komukai, T. Yamamoto, and S. Kawanishi, "Optical pulse generator using phase modulator and linearly chirped Fiber Bragg Gratings," IEEE Photon. Technol. Lett. 17, 1746-1748 (2005).
[CrossRef]

Kikuchi, K.

K. Taira and K. Kikuchi, "Subpicosecond pulse generation using an electroabsorption modulator and a double-stage pulse compressor," IEEE Photon. Technol. Lett. 15, 1288-1290 (2003).
[CrossRef]

Kilburn, I.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Klimov, I.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Komukai, T.

T. Komukai, T. Yamamoto, and S. Kawanishi, "Optical pulse generator using phase modulator and linearly chirped Fiber Bragg Gratings," IEEE Photon. Technol. Lett. 17, 1746-1748 (2005).
[CrossRef]

Lancis, J.

Lucek, J. K.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Luntz, G.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Luo, T.

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

Moodie, D. G.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Murphy, T. E.

T. E. Murphy, "10-GHz 1.3-ps pulse generation using chirped soliton compression in a Raman gain medium," IEEE Photon. Technol. Lett. 14, 1424-1426 (2002).
[CrossRef]

Nagatsuma, T.

T. Otsuji, M. Yaita, T. Nagatsuma, and E. Sano, "10-80-Gb/s highly extinctive electrooptic pulse pattern generation," IEEE J. Sel. Tops. Quantum Electron. 2, 643-649 (1996).
[CrossRef]

Osinski, M.

M. Osinski and J. Buus, "Linewidth broadening factor in semiconductor," IEEE J. Quantum Electron. 23, 9-29 (1987)
[CrossRef]

Otsuji, T.

T. Otsuji, M. Yaita, T. Nagatsuma, and E. Sano, "10-80-Gb/s highly extinctive electrooptic pulse pattern generation," IEEE J. Sel. Tops. Quantum Electron. 2, 643-649 (1996).
[CrossRef]

Pan, Z.

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

Sano, E.

T. Otsuji, M. Yaita, T. Nagatsuma, and E. Sano, "10-80-Gb/s highly extinctive electrooptic pulse pattern generation," IEEE J. Sel. Tops. Quantum Electron. 2, 643-649 (1996).
[CrossRef]

Siddiqui, A. S.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Smith, K.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Spiihler, G. J.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Taira, K.

K. Taira and K. Kikuchi, "Subpicosecond pulse generation using an electroabsorption modulator and a double-stage pulse compressor," IEEE Photon. Technol. Lett. 15, 1288-1290 (2003).
[CrossRef]

Taylor, J. R.

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

Thomas, S.

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

Torres-Company, V.

Vahala, K.

C. Harder, K. Vahala, and A. Yariv, "Measurement of the linewidth enhancement factor of semiconductor lasers," Appl. Phys. Lett. 42, 328-330 (1983).
[CrossRef]

Wang, Y.

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

Willner, A. E.

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

Yaita, M.

T. Otsuji, M. Yaita, T. Nagatsuma, and E. Sano, "10-80-Gb/s highly extinctive electrooptic pulse pattern generation," IEEE J. Sel. Tops. Quantum Electron. 2, 643-649 (1996).
[CrossRef]

Yamamoto, T.

T. Komukai, T. Yamamoto, and S. Kawanishi, "Optical pulse generator using phase modulator and linearly chirped Fiber Bragg Gratings," IEEE Photon. Technol. Lett. 17, 1746-1748 (2005).
[CrossRef]

Yan, L.-S.

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

Yariv, A.

C. Harder, K. Vahala, and A. Yariv, "Measurement of the linewidth enhancement factor of semiconductor lasers," Appl. Phys. Lett. 42, 328-330 (1983).
[CrossRef]

Yu, C.

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

Appl. Phys. Lett. (1)

C. Harder, K. Vahala, and A. Yariv, "Measurement of the linewidth enhancement factor of semiconductor lasers," Appl. Phys. Lett. 42, 328-330 (1983).
[CrossRef]

Electron. Lett. (3)

B. Bakhshi and P. A. Andrekson, "40 GHz actively modelocked, polarization maintaining erbium fiber ring laser," Electron. Lett. 36, 411-413 (2000).
[CrossRef]

P. Gunning, J. K. Lucek, D. G. Moodie, K. Smith, R. P. Davey, S. V. Chernikov, M. J. Guy, J. R. Taylor and A. S. Siddiqui, "Gainswitched DFB laser diode pulse source using continuous wave light injection for jitter suppression and an electroabsorption modulator for pedestal suppression," Electron. Lett. 32, 1010-1011 (1996).
[CrossRef]

G. J. Spiihler, M. Dymott, I. Klimov, G. Luntz, L. Baraldi, I. Kilburn, P. Crosby, S. Thomas, 0. Zehnder, C. Y. Teisset, M. Brownell, K. J. Weingarten, R. Dangel, B. J. Ofiein, G. L. Bona, 0. Buccafusca, Y. Kaneko, L. Krainer, R. Paschotta, and U. Keller, "40 GHz pulse generating source with less than 350 fs timing jitter," Electron. Lett. 38, 1031-1033 (2002).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Osinski and J. Buus, "Linewidth broadening factor in semiconductor," IEEE J. Quantum Electron. 23, 9-29 (1987)
[CrossRef]

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

T. Otsuji, M. Yaita, T. Nagatsuma, and E. Sano, "10-80-Gb/s highly extinctive electrooptic pulse pattern generation," IEEE J. Sel. Tops. Quantum Electron. 2, 643-649 (1996).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

T. E. Murphy, "10-GHz 1.3-ps pulse generation using chirped soliton compression in a Raman gain medium," IEEE Photon. Technol. Lett. 14, 1424-1426 (2002).
[CrossRef]

T. Komukai, T. Yamamoto, and S. Kawanishi, "Optical pulse generator using phase modulator and linearly chirped Fiber Bragg Gratings," IEEE Photon. Technol. Lett. 17, 1746-1748 (2005).
[CrossRef]

C. Yu, L.-S. Yan, T. Luo, Y. Wang, Z. Pan, and A. E. Willner, "Width-tunable optical RZ pulse train generation based on four-wave mixing in highly nonlinear fiber," IEEE Photon. Technol. Lett. 17, 636-638 (2005).
[CrossRef]

K. Taira and K. Kikuchi, "Subpicosecond pulse generation using an electroabsorption modulator and a double-stage pulse compressor," IEEE Photon. Technol. Lett. 15, 1288-1290 (2003).
[CrossRef]

Opt. Express (1)

Other (1)

S. Iezekiel, C. M. Snowden, and M. J. Howes, "Generation of ultrashort optical pulses by microwave modulation of laser diodes," IEE Colloquium on Applications of Ultrashort Pulses for Optoelectronics, 9/1 - 9/7 (1989).

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Figures (7)

Fig. 1.
Fig. 1.

Conceptual diagram (a) Large-signal directly modulated pulses with negative chirp (b) Instantaneous optical frequency of phase-modulated light

Fig. 2.
Fig. 2.

Calculated dependence of FWHM of optical spectrum on phase modulation index at different modulation frequency 5GHz, 10GHz, and 20GHz.

Fig. 3.
Fig. 3.

Experimental setup for short pulses source

Fig. 4.
Fig. 4.

Waveform (a) and optical spectrum (b) of large-signal directly modulated pulses

Fig. 5.
Fig. 5.

Experimental results of short pulses source. (a) Optical spectrum. (b) Eye diagram of optical sampling oscilloscope. (c) Autocorrelation trace. The inset of graph (c) shows the autocorrelation trace in log scale.

Fig. 6.
Fig. 6.

Characters of output without large-signal directly modulated pulses. (a) Optical spectrum. (b) Waveform.

Fig. 7.
Fig. 7.

Single-sideband phase noise power spectral density at 10 GHz. (a) shows 165-fs and 184-fs rms integrated timing jitter for HP 83711B signal generator and large-signal directly modulated pulses; (b) shows 184-fs and 280-fs rms integrated timing jitter for the phased modulated pulses with and without large-signal direct modulated pulses separately.

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

E ( t ) = E 0 Exp [ t 2 2 T 0 2 ] Exp [ j ( ω 0 t + Δ θ 1 sin ( 2 π f m t + π 2 ) ) ]
Δ θ 1 = m 2 α
α = 2 P 0 Δ P Δ ν 1 f m
E ( t ) = E 0 Exp ( t 2 2 T 0 2 ) Exp [ j ( ω 0 t + Δ θ 1 sin ( 2 π f m t + π 2 ) + Δ θ 2 sin ( 2 π f m t + Δ φ ) ) ]
ν ( t ) = 1 2 π ϕ t = ω 0 2 π f m Δ θ 1 sin ( 2 π f m t ) + f m Δ θ 2 cos ( 2 π f m t + Δ φ )
ν t = 2 π f m 2 [ Δ θ 1 cos ( 2 π f m t ) + Δ θ 2 sin ( 2 π f m t + Δ φ ) ]
ν t = 2 π f m 2 ( Δ θ 1 + Δ θ 2 ) cos ( 2 π f m t )
ν t = 2 π f m 2 ( Δ θ 1 + Δ θ 2 )
L C T 0 D λ 2 Δ ν
E ( ω ) = E 0 T 0 n = + J n ( Δ θ 1 + Δ θ 2 ) i n Exp [ T 0 2 ( ω ω 0 + 2 n π f m ) 2 2 ]
Δ ν 2 ( Δ θ 1 + Δ θ 2 ) f m

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