Abstract

Dual chirped optical pulse is reported by use of a phase-modulated laser. When a number of sidebands around the carrier frequency in a phase-modulated laser spectrum are spectrally carved, short optical pulse trains with dual chirp states are obtained. It is discussed that the pulse duration and the linear frequency chirp parameter can be found in closed form expressions given as a function of the modulation index and the modulation frequency when the phase modulation function of the dual-chirped pulse trains does not deviate severely from the modulation function applied to the phase modulator by spectral filtering effects. In experiments, optical pulse trains at 5 GHz repetition rate were generated with the pulse duration of 29.4 ps when frequency-modulated fiber laser signals with a 2.5 GHz repetition rate passed through a Gaussian-shaped optical band-pass filter (OBF) with a full width at half maximum (FWHM) 0.3 nm and a transmission peak at the carrier frequency of the frequency-modulated laser spectrum. Measured pulse duration was in good agreement with the analytical prediction value 28.2 ps and the numerical result 27.7 ps.

© 2007 Optical Society of America

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References

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  1. M. Fujiwara, M. Teshima, J. -i. Kani, H. Suzuki, N. Takachio, and K. Iwatsuki, “Optical carrier supply module using flatteded optical multicarrier generation based on sinusoidal amplitude and phase hybrid modulation,” J. Lightwave Technol. 21, 2705–2714 (2003).
    [Crossref]
  2. R. P. Scott, N. K. Fontaine, J. Cao, K. Okamoto, B. H. Kolner, J. P. Heritage, and S. J. B. Yoo, “High-fidelity line-by-line optical waveform generation and complete characterization using FROG,” Opt. Express 15, 9977–9988 (2007).
    [Crossref] [PubMed]
  3. J. Zhang, H. Chen, M. Chen, T. Wang, and S. Xie, “Photonic generation of a millimeter-wave signal based on sextuple-frequency multiplication,” Opt. Lett. 32, 1020–1022 (2007).
    [Crossref] [PubMed]
  4. T. Ohara, H. Takara, T. Yamamoto, H. Masuda, T. Morioka, M. Abe, and H. Takahashi, “Over-1000-channel ultradense WDM transmission with supercontinuum multicarrier source,” J. Lightwave Technol. 24, 2311–2317 (2006).
    [Crossref]
  5. K. Tsuji, K. Shimizu, T. Horiguchi, and Y. Koyamada, “Coherent optical frequency domain reflectrometry for a long single-mode optical fiber using a coherent lightwave source and an external phase modulator,” IEEE Photon. Technol. Lett. 7, 804–806 (1995)
    [Crossref]
  6. K. Tatsuno and Y. Tsunoda, “Diode laser direct modulation heterodyne interferometer,” Opt. Lett. 12, 310–312 (1987).
  7. A. V. Kudryashov and A. V. Seliverstov, “Adaptive stabilized interferometer with laser diode,” Opt. Commun.,  120, 239–244 (1995).
    [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. P. V. Mamyshev, “Dual-wavlength source of high-repetition-rate, transform-limited optical pulses for soliton transmission,” Opt. Lett. 19, 2074–2076 (1994).
    [Crossref] [PubMed]
  10. N. Onodera, K. S. Abedin, and M. Hyodo, “Optical pulse generation from a frequency modulated Er-doped laser by frequency filtering,” Jpn. J. Appl. Phys. 37, L1046–L1048 (1998).
    [Crossref]
  11. J. Cao, C. J. Bardeen, and K. R. Wilson, “Molecular “π pulse” for total inversion of electronic state population,” Phys. Rev. Lett. 80, 1406–1409 (1998)
    [Crossref]
  12. A. H. Buist, M. Muller, R. I. Ghauharali, G. J. Brakenhoff, J. A. Squier, C. J. Bardeen, V. V. Yakovlev, and K. R. Wilson, “Probing microscopic chemical environments with high-intensity chirped pulses,” Opt. Lett. 24, 244–246 (1999)
    [Crossref]
  13. S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
    [Crossref]
  14. A. S. Weling and T. F. Heinz, “Enhancement in spectral irradiance of photoconducting terahertz emitters by chirped-pulse mixing,” J. Opt. Soc. Am. B 16, 1455–1467 (1999)
    [Crossref]
  15. J. Stigwall and A. Wiberg, “Tunable terahertz signal generation by chirped pulse photomixing,” IEEE Photon. Technol. Lett. 19, 931–933 (2007)
    [Crossref]
  16. Y. J. Kim, H. S. Song, and D.-Y. Kim, “Pulse stabilization in harmonically FM mode locked erbium fibre ring laser with DFBLD,” Electron. Lett. 41, 837–838 (2005)
    [Crossref]
  17. K. Tamura and M. Nakazawa, “Pulse energy equalization in harmonically FM mode-locked lasers with slow gain,” Opt. Lett. 21, 1930–1932 (1996)
    [Crossref] [PubMed]
  18. D. J. Kuizenga and A. E. Siegman, “FM-Laser operation of the Nd:YAG laser,” IEEE J. Quantum Electron. QE-6, 673–677 (1970)
    [Crossref]
  19. T. Khayim, M. Yamauchi, D.-S. Kim, and T. Kobayashi, “Femtosecond optical pulse generation from a CW laser using an electrooptic phase modulator featuring lens modulation,” IEEE J. Quantum Electron. 35, 1412–1418 (1999).
    [Crossref]
  20. M. Doi, M. Sugiyama, K. Tanaka, and M. Kawai, “Advanced LiNbO3 optical modulators for broadband optical communications,” IEEE J. Sel. Top. Quantum Electron. 12, 745–750 (2006).
    [Crossref]
  21. H. Murata, A. Morimoto, T. Kobayashi, and S. Yamamoto, “Optical pulse generation by electrooptic-modulation method and its application to integrated ultrashort pulse generators,” IEEE J. Sel. Top. Quantum Electron. 6, 1325–1331(2000).
    [Crossref]

2007 (3)

2006 (2)

T. Ohara, H. Takara, T. Yamamoto, H. Masuda, T. Morioka, M. Abe, and H. Takahashi, “Over-1000-channel ultradense WDM transmission with supercontinuum multicarrier source,” J. Lightwave Technol. 24, 2311–2317 (2006).
[Crossref]

M. Doi, M. Sugiyama, K. Tanaka, and M. Kawai, “Advanced LiNbO3 optical modulators for broadband optical communications,” IEEE J. Sel. Top. Quantum Electron. 12, 745–750 (2006).
[Crossref]

2005 (2)

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]

Y. J. Kim, H. S. Song, and D.-Y. Kim, “Pulse stabilization in harmonically FM mode locked erbium fibre ring laser with DFBLD,” Electron. Lett. 41, 837–838 (2005)
[Crossref]

2003 (1)

2000 (1)

H. Murata, A. Morimoto, T. Kobayashi, and S. Yamamoto, “Optical pulse generation by electrooptic-modulation method and its application to integrated ultrashort pulse generators,” IEEE J. Sel. Top. Quantum Electron. 6, 1325–1331(2000).
[Crossref]

1999 (4)

S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
[Crossref]

A. S. Weling and T. F. Heinz, “Enhancement in spectral irradiance of photoconducting terahertz emitters by chirped-pulse mixing,” J. Opt. Soc. Am. B 16, 1455–1467 (1999)
[Crossref]

A. H. Buist, M. Muller, R. I. Ghauharali, G. J. Brakenhoff, J. A. Squier, C. J. Bardeen, V. V. Yakovlev, and K. R. Wilson, “Probing microscopic chemical environments with high-intensity chirped pulses,” Opt. Lett. 24, 244–246 (1999)
[Crossref]

T. Khayim, M. Yamauchi, D.-S. Kim, and T. Kobayashi, “Femtosecond optical pulse generation from a CW laser using an electrooptic phase modulator featuring lens modulation,” IEEE J. Quantum Electron. 35, 1412–1418 (1999).
[Crossref]

1998 (2)

N. Onodera, K. S. Abedin, and M. Hyodo, “Optical pulse generation from a frequency modulated Er-doped laser by frequency filtering,” Jpn. J. Appl. Phys. 37, L1046–L1048 (1998).
[Crossref]

J. Cao, C. J. Bardeen, and K. R. Wilson, “Molecular “π pulse” for total inversion of electronic state population,” Phys. Rev. Lett. 80, 1406–1409 (1998)
[Crossref]

1996 (1)

1995 (2)

K. Tsuji, K. Shimizu, T. Horiguchi, and Y. Koyamada, “Coherent optical frequency domain reflectrometry for a long single-mode optical fiber using a coherent lightwave source and an external phase modulator,” IEEE Photon. Technol. Lett. 7, 804–806 (1995)
[Crossref]

A. V. Kudryashov and A. V. Seliverstov, “Adaptive stabilized interferometer with laser diode,” Opt. Commun.,  120, 239–244 (1995).
[Crossref]

1994 (1)

1987 (1)

1970 (1)

D. J. Kuizenga and A. E. Siegman, “FM-Laser operation of the Nd:YAG laser,” IEEE J. Quantum Electron. QE-6, 673–677 (1970)
[Crossref]

Abe, M.

Abedin, K. S.

N. Onodera, K. S. Abedin, and M. Hyodo, “Optical pulse generation from a frequency modulated Er-doped laser by frequency filtering,” Jpn. J. Appl. Phys. 37, L1046–L1048 (1998).
[Crossref]

Bardeen, C. J.

Brakenhoff, G. J.

Buist, A. H.

Cao, J.

Chen, H.

Chen, M.

Doi, M.

M. Doi, M. Sugiyama, K. Tanaka, and M. Kawai, “Advanced LiNbO3 optical modulators for broadband optical communications,” IEEE J. Sel. Top. Quantum Electron. 12, 745–750 (2006).
[Crossref]

Fontaine, N. K.

Fujiwara, M.

Ghauharali, R. I.

Heinz, T. F.

Heritage, J. P.

Horiguchi, T.

K. Tsuji, K. Shimizu, T. Horiguchi, and Y. Koyamada, “Coherent optical frequency domain reflectrometry for a long single-mode optical fiber using a coherent lightwave source and an external phase modulator,” IEEE Photon. Technol. Lett. 7, 804–806 (1995)
[Crossref]

Hyodo, M.

N. Onodera, K. S. Abedin, and M. Hyodo, “Optical pulse generation from a frequency modulated Er-doped laser by frequency filtering,” Jpn. J. Appl. Phys. 37, L1046–L1048 (1998).
[Crossref]

Iwatsuki, K.

Izumida, S.

S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
[Crossref]

Kani, J. -i.

Kawai, M.

M. Doi, M. Sugiyama, K. Tanaka, and M. Kawai, “Advanced LiNbO3 optical modulators for broadband optical communications,” IEEE J. Sel. Top. Quantum Electron. 12, 745–750 (2006).
[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]

Khayim, T.

T. Khayim, M. Yamauchi, D.-S. Kim, and T. Kobayashi, “Femtosecond optical pulse generation from a CW laser using an electrooptic phase modulator featuring lens modulation,” IEEE J. Quantum Electron. 35, 1412–1418 (1999).
[Crossref]

Kim, D.-S.

T. Khayim, M. Yamauchi, D.-S. Kim, and T. Kobayashi, “Femtosecond optical pulse generation from a CW laser using an electrooptic phase modulator featuring lens modulation,” IEEE J. Quantum Electron. 35, 1412–1418 (1999).
[Crossref]

Kim, D.-Y.

Y. J. Kim, H. S. Song, and D.-Y. Kim, “Pulse stabilization in harmonically FM mode locked erbium fibre ring laser with DFBLD,” Electron. Lett. 41, 837–838 (2005)
[Crossref]

Kim, Y. J.

Y. J. Kim, H. S. Song, and D.-Y. Kim, “Pulse stabilization in harmonically FM mode locked erbium fibre ring laser with DFBLD,” Electron. Lett. 41, 837–838 (2005)
[Crossref]

Kobayashi, T.

H. Murata, A. Morimoto, T. Kobayashi, and S. Yamamoto, “Optical pulse generation by electrooptic-modulation method and its application to integrated ultrashort pulse generators,” IEEE J. Sel. Top. Quantum Electron. 6, 1325–1331(2000).
[Crossref]

T. Khayim, M. Yamauchi, D.-S. Kim, and T. Kobayashi, “Femtosecond optical pulse generation from a CW laser using an electrooptic phase modulator featuring lens modulation,” IEEE J. Quantum Electron. 35, 1412–1418 (1999).
[Crossref]

Kolner, B. H.

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]

Koyamada, Y.

K. Tsuji, K. Shimizu, T. Horiguchi, and Y. Koyamada, “Coherent optical frequency domain reflectrometry for a long single-mode optical fiber using a coherent lightwave source and an external phase modulator,” IEEE Photon. Technol. Lett. 7, 804–806 (1995)
[Crossref]

Kudryashov, A. V.

A. V. Kudryashov and A. V. Seliverstov, “Adaptive stabilized interferometer with laser diode,” Opt. Commun.,  120, 239–244 (1995).
[Crossref]

Kuizenga, D. J.

D. J. Kuizenga and A. E. Siegman, “FM-Laser operation of the Nd:YAG laser,” IEEE J. Quantum Electron. QE-6, 673–677 (1970)
[Crossref]

Liu, Z.

S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
[Crossref]

Mamyshev, P. V.

Masuda, H.

Morimoto, A.

H. Murata, A. Morimoto, T. Kobayashi, and S. Yamamoto, “Optical pulse generation by electrooptic-modulation method and its application to integrated ultrashort pulse generators,” IEEE J. Sel. Top. Quantum Electron. 6, 1325–1331(2000).
[Crossref]

Morioka, T.

Muller, M.

Murata, H.

H. Murata, A. Morimoto, T. Kobayashi, and S. Yamamoto, “Optical pulse generation by electrooptic-modulation method and its application to integrated ultrashort pulse generators,” IEEE J. Sel. Top. Quantum Electron. 6, 1325–1331(2000).
[Crossref]

Nakazawa, M.

Ohara, T.

Ohtake, H.

S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
[Crossref]

Okamoto, K.

Ono, S.

S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
[Crossref]

Onodera, N.

N. Onodera, K. S. Abedin, and M. Hyodo, “Optical pulse generation from a frequency modulated Er-doped laser by frequency filtering,” Jpn. J. Appl. Phys. 37, L1046–L1048 (1998).
[Crossref]

Scott, R. P.

Seliverstov, A. V.

A. V. Kudryashov and A. V. Seliverstov, “Adaptive stabilized interferometer with laser diode,” Opt. Commun.,  120, 239–244 (1995).
[Crossref]

Shimizu, K.

K. Tsuji, K. Shimizu, T. Horiguchi, and Y. Koyamada, “Coherent optical frequency domain reflectrometry for a long single-mode optical fiber using a coherent lightwave source and an external phase modulator,” IEEE Photon. Technol. Lett. 7, 804–806 (1995)
[Crossref]

Siegman, A. E.

D. J. Kuizenga and A. E. Siegman, “FM-Laser operation of the Nd:YAG laser,” IEEE J. Quantum Electron. QE-6, 673–677 (1970)
[Crossref]

Song, H. S.

Y. J. Kim, H. S. Song, and D.-Y. Kim, “Pulse stabilization in harmonically FM mode locked erbium fibre ring laser with DFBLD,” Electron. Lett. 41, 837–838 (2005)
[Crossref]

Squier, J. A.

Srukura, N.

S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
[Crossref]

Stigwall, J.

J. Stigwall and A. Wiberg, “Tunable terahertz signal generation by chirped pulse photomixing,” IEEE Photon. Technol. Lett. 19, 931–933 (2007)
[Crossref]

Sugiyama, M.

M. Doi, M. Sugiyama, K. Tanaka, and M. Kawai, “Advanced LiNbO3 optical modulators for broadband optical communications,” IEEE J. Sel. Top. Quantum Electron. 12, 745–750 (2006).
[Crossref]

Suzuki, H.

Takachio, N.

Takahashi, H.

Takara, H.

Tamura, K.

Tanaka, K.

M. Doi, M. Sugiyama, K. Tanaka, and M. Kawai, “Advanced LiNbO3 optical modulators for broadband optical communications,” IEEE J. Sel. Top. Quantum Electron. 12, 745–750 (2006).
[Crossref]

Tatsuno, K.

Teshima, M.

Tsuji, K.

K. Tsuji, K. Shimizu, T. Horiguchi, and Y. Koyamada, “Coherent optical frequency domain reflectrometry for a long single-mode optical fiber using a coherent lightwave source and an external phase modulator,” IEEE Photon. Technol. Lett. 7, 804–806 (1995)
[Crossref]

Tsunoda, Y.

Wang, T.

Weling, A. S.

Wiberg, A.

J. Stigwall and A. Wiberg, “Tunable terahertz signal generation by chirped pulse photomixing,” IEEE Photon. Technol. Lett. 19, 931–933 (2007)
[Crossref]

Wilson, K. R.

Xie, S.

Yakovlev, V. V.

Yamamoto, S.

H. Murata, A. Morimoto, T. Kobayashi, and S. Yamamoto, “Optical pulse generation by electrooptic-modulation method and its application to integrated ultrashort pulse generators,” IEEE J. Sel. Top. Quantum Electron. 6, 1325–1331(2000).
[Crossref]

Yamamoto, T.

T. Ohara, H. Takara, T. Yamamoto, H. Masuda, T. Morioka, M. Abe, and H. Takahashi, “Over-1000-channel ultradense WDM transmission with supercontinuum multicarrier source,” J. Lightwave Technol. 24, 2311–2317 (2006).
[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]

Yamauchi, M.

T. Khayim, M. Yamauchi, D.-S. Kim, and T. Kobayashi, “Femtosecond optical pulse generation from a CW laser using an electrooptic phase modulator featuring lens modulation,” IEEE J. Quantum Electron. 35, 1412–1418 (1999).
[Crossref]

Yoo, S. J. B.

Zhang, J.

Appl. Phys. Lett. (1)

S. Izumida, S. Ono, Z. Liu, H. Ohtake, and N. Srukura, “Spectrum control of THz radiation from InAs in a magnetic field by duration and frequency chirp of the excitation pulses,” Appl. Phys. Lett. 75, 451–453 (1999)
[Crossref]

Electron. Lett. (1)

Y. J. Kim, H. S. Song, and D.-Y. Kim, “Pulse stabilization in harmonically FM mode locked erbium fibre ring laser with DFBLD,” Electron. Lett. 41, 837–838 (2005)
[Crossref]

IEEE J. Quantum Electron. (2)

D. J. Kuizenga and A. E. Siegman, “FM-Laser operation of the Nd:YAG laser,” IEEE J. Quantum Electron. QE-6, 673–677 (1970)
[Crossref]

T. Khayim, M. Yamauchi, D.-S. Kim, and T. Kobayashi, “Femtosecond optical pulse generation from a CW laser using an electrooptic phase modulator featuring lens modulation,” IEEE J. Quantum Electron. 35, 1412–1418 (1999).
[Crossref]

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

M. Doi, M. Sugiyama, K. Tanaka, and M. Kawai, “Advanced LiNbO3 optical modulators for broadband optical communications,” IEEE J. Sel. Top. Quantum Electron. 12, 745–750 (2006).
[Crossref]

H. Murata, A. Morimoto, T. Kobayashi, and S. Yamamoto, “Optical pulse generation by electrooptic-modulation method and its application to integrated ultrashort pulse generators,” IEEE J. Sel. Top. Quantum Electron. 6, 1325–1331(2000).
[Crossref]

IEEE Photon. Technol. Lett. (3)

J. Stigwall and A. Wiberg, “Tunable terahertz signal generation by chirped pulse photomixing,” IEEE Photon. Technol. Lett. 19, 931–933 (2007)
[Crossref]

K. Tsuji, K. Shimizu, T. Horiguchi, and Y. Koyamada, “Coherent optical frequency domain reflectrometry for a long single-mode optical fiber using a coherent lightwave source and an external phase modulator,” IEEE Photon. Technol. Lett. 7, 804–806 (1995)
[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]

J. Lightwave Technol. (2)

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

Jpn. J. Appl. Phys. (1)

N. Onodera, K. S. Abedin, and M. Hyodo, “Optical pulse generation from a frequency modulated Er-doped laser by frequency filtering,” Jpn. J. Appl. Phys. 37, L1046–L1048 (1998).
[Crossref]

Opt. Commun. (1)

A. V. Kudryashov and A. V. Seliverstov, “Adaptive stabilized interferometer with laser diode,” Opt. Commun.,  120, 239–244 (1995).
[Crossref]

Opt. Express (1)

Opt. Lett. (5)

Phys. Rev. Lett. (1)

J. Cao, C. J. Bardeen, and K. R. Wilson, “Molecular “π pulse” for total inversion of electronic state population,” Phys. Rev. Lett. 80, 1406–1409 (1998)
[Crossref]

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Figures (5)

Fig. 1.
Fig. 1.

Phase information of generated sidebands of a phase-modulated laser and optical pulse trains from spectral slicing of either of extreme sidebands. (a) Amplitude of the electric field component of a PM laser as a function of sideband order n when effective modulation index ϕ is 10π, and ωMt=0. (b) Optical pulse consisting of anti-stokes band in blue line and optical pulse consisting of stokes band in red line.

Fig. 2.
Fig. 2.

Phase relation between sidebands nearby the carrier frequency of a PM laser. (a) Phase correlation between a pair of sidebands. (b) Phasor diagram to show burst of optical pulse trains with repetition rate twice as fast as an imposed modulation frequency.

Fig.3 .
Fig.3 .

umerically obtained optical intensity (a) and phase (b) for a laser output in time domain depending on the spectral width of an OBF. Red, green, and blue curves are when FWHMs of the OBFs are 14 f M, 18 f M, and 36 f M, respectively. (c) 3D plot of dual-chirped optical pulse trains with varying the number of sidebands at the modulation index 10π

Fig. 4.
Fig. 4.

(a) Experimental configuration for dual chirped optical pulse generation from an FM erbium doped fiber ring laser and measurement setups for laser output. (b) Optical spectra before and after an optical band-pass filter with a FWHM of 0.3 nm or 37.5 GHz.

Fig. 5.
Fig. 5.

Optical pulse trains corresponding to optically filtered spectrum in Fig. 4(b). (a) Measurement result of an optical pulse train using a high speed sampling scope. (b) Intensity autocorrelation of dual chirped optical pulse obtained in experiments (blue trace) and in numerical expectation (red trace).

Equations (12)

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

E F M ( t ) = E o e i ω o t e i ϕsin ( 2 π f M t ) ,
= E o e i ω o t n = n = J n ( ϕ ) e i n 2 π f M t ,
N 0.38 ( ϕ 10 π ) + 18 .
ω ( t ) = d ( ϕ sin ( ϕ M t ) ) d t = ϕ ω M cos ( ω M t ) .
ω ( t ) ϕ ω M 2 t .
exp ( 1 + i C 2 ( t T o ) 2 ) ,
ω ( t ) = C ( t T o 2 ) .
Δ ω = 1 + C 2 T o .
C = ζ + ζ 2 4 2 ,
T o = 1 2 π f M ζ + ζ 2 4 2 ϕ .
Φ = f ax ϕ 2 π f d ,
E F M ( t ) = E o e i ω o t n = n = J n ( Φ ) e i n ω M t .

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