Abstract

We demonstrate a time-to-space mapping of an optical signal with a picosecond time resolution based on an electrooptic beam deflection. A time axis of the optical signal is mapped into a spatial replica by the deflection. We theoretically derive a minimum time resolution of the time-to-space mapping and confirm it experimentally on the basis of the pulse width of the optical pulses picked out from the deflected beam through a narrow slit which acts as a temporal window. We have achieved the minimum time resolution of 1.6±0.2 ps.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. M. Weiner, J. P. Heritage, and E. M. Kirschner "High-resolution femtosecond pulse shaping," J. Opt. Soc. Am. A 5,1563-1572 (1988).
    [CrossRef]
  2. Y. T. Mazurenko, "Holography of wave packets," Appl. Phys. B 50,101-104 (1990).
    [CrossRef]
  3. K. Ema, M. Kuwata-Gonokami, and F. Shimizu, "All-optical sub-Tbits/s serial-to-parallel conversion using excitons giant nonlinearity," Appl. Phys. Lett. 59,2799-2801 (1991).
    [CrossRef]
  4. A.M. Weiner, D. E. Learird, D. H. Reitze, and E. G. Peak "Femtosecond spectral holography," IEEE J. Quantum Electron. 28,2251-2261 (1992).
    [CrossRef]
  5. M. C. Nuss, M. Li, T. H. Chiu, A. M. Weiner, and A. Partovi, "Time-tospace mapping of femtosecond pulses," Opt. Lett. 19,664-666 (1994).
    [CrossRef] [PubMed]
  6. Y. T. Mazurenko, S. E. Putilin, A. G. Spiro, A. G. Beliaev, V. E. Yashin, and S. A. Chizhov, "Ultrafast time-tospace conversion of phase by the method of spectral nonlinear optics," Opt. Lett. 21,1753-1755 (1996)
    [CrossRef] [PubMed]
  7. P. C. Sun, Y. T. Mazurenko, and Y. Fainman, "Femtosecond pulse imaging: ultrafast optical oscilloscope," J. Opt. Soc. Am. A 14,1159-1170 (1997).
    [CrossRef]
  8. T. Konishi and Y. Ichioka, "Ultrafast image transmission by optical time-to-two-dimensional-space-totime-totwo- dimensional-space conversion," J. Opt. Soc. Am. A 16,1076-1088 (1999).
    [CrossRef]
  9. A. M. Weiner and A. M. Kan’an, "Femtosecond pulse shaping for synthesis, processing, and time-to-space conversion of ultrafast optical waveforms," IEEE J. Sel. Top. Quantum Electron. 4,317-330 (1998).
    [CrossRef]
  10. J. -H. Chung and A. M. Weiner, "Real-time detection of femtosecond optical pulse sequences via time-to-space conversion in the lightwave communications band," J. Lightwave Technol. 21,3323-3333 (2003).
    [CrossRef]
  11. T. Kobayashi and T. Sueta, "High-repetition-rate optical pulse generator using a Fabry-Perot electro-optic modulator," Appl. Phys. Lett. 21,341-343 (1972).
    [CrossRef]
  12. J. E. Bjorkholm, E. H. Turner, and D. B. Pearson, "Conversion of cw light into a train of subnanosecond pulses using frequency modulation and the dispersion of a near-resonant atomic vapor," Appl. Phys. Lett. 26,564-566 (1975).
    [CrossRef]
  13. T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
    [CrossRef]
  14. B. Y. Lee, T. Kobayashi, A. Morimoto, and T. Sueta, "High-speed electrooptic deflector and its application to picosecond pulse generation," IEEE J. Quantum Electron. QE-28,1739-1744 (1992).
    [CrossRef]
  15. S. Hisatake, K. Shibuya, and T. Kobayashi, "Ultrafast traveling-wave electro-optic deflector using domainengineered LiTaO3 crystal," Appl. Phys. Lett. 87,081101 (2005).
    [CrossRef]
  16. A. Morimoto, M. Tamaru, Y. Matsuda, M. Arisawa, and T. Kobayashi, in Pacific Rim Conference on Lasers and Electro-Optics (Institute of Electrical and Electronics Engineers, 1995), p. 234.

2005 (1)

S. Hisatake, K. Shibuya, and T. Kobayashi, "Ultrafast traveling-wave electro-optic deflector using domainengineered LiTaO3 crystal," Appl. Phys. Lett. 87,081101 (2005).
[CrossRef]

2003 (1)

1999 (1)

1998 (1)

A. M. Weiner and A. M. Kan’an, "Femtosecond pulse shaping for synthesis, processing, and time-to-space conversion of ultrafast optical waveforms," IEEE J. Sel. Top. Quantum Electron. 4,317-330 (1998).
[CrossRef]

1997 (1)

1996 (1)

1994 (1)

1992 (2)

B. Y. Lee, T. Kobayashi, A. Morimoto, and T. Sueta, "High-speed electrooptic deflector and its application to picosecond pulse generation," IEEE J. Quantum Electron. QE-28,1739-1744 (1992).
[CrossRef]

A.M. Weiner, D. E. Learird, D. H. Reitze, and E. G. Peak "Femtosecond spectral holography," IEEE J. Quantum Electron. 28,2251-2261 (1992).
[CrossRef]

1991 (1)

K. Ema, M. Kuwata-Gonokami, and F. Shimizu, "All-optical sub-Tbits/s serial-to-parallel conversion using excitons giant nonlinearity," Appl. Phys. Lett. 59,2799-2801 (1991).
[CrossRef]

1990 (1)

Y. T. Mazurenko, "Holography of wave packets," Appl. Phys. B 50,101-104 (1990).
[CrossRef]

1988 (2)

A. M. Weiner, J. P. Heritage, and E. M. Kirschner "High-resolution femtosecond pulse shaping," J. Opt. Soc. Am. A 5,1563-1572 (1988).
[CrossRef]

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

1975 (1)

J. E. Bjorkholm, E. H. Turner, and D. B. Pearson, "Conversion of cw light into a train of subnanosecond pulses using frequency modulation and the dispersion of a near-resonant atomic vapor," Appl. Phys. Lett. 26,564-566 (1975).
[CrossRef]

1972 (1)

T. Kobayashi and T. Sueta, "High-repetition-rate optical pulse generator using a Fabry-Perot electro-optic modulator," Appl. Phys. Lett. 21,341-343 (1972).
[CrossRef]

Amano, K.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

Beliaev, A. G.

Bjorkholm, J. E.

J. E. Bjorkholm, E. H. Turner, and D. B. Pearson, "Conversion of cw light into a train of subnanosecond pulses using frequency modulation and the dispersion of a near-resonant atomic vapor," Appl. Phys. Lett. 26,564-566 (1975).
[CrossRef]

Chiu, T. H.

Chizhov, S. A.

Chung, J. -H.

Ema, K.

K. Ema, M. Kuwata-Gonokami, and F. Shimizu, "All-optical sub-Tbits/s serial-to-parallel conversion using excitons giant nonlinearity," Appl. Phys. Lett. 59,2799-2801 (1991).
[CrossRef]

Fainman, Y.

Fukushima, Y.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

Heritage, J. P.

A. M. Weiner, J. P. Heritage, and E. M. Kirschner "High-resolution femtosecond pulse shaping," J. Opt. Soc. Am. A 5,1563-1572 (1988).
[CrossRef]

Hisatake, S.

S. Hisatake, K. Shibuya, and T. Kobayashi, "Ultrafast traveling-wave electro-optic deflector using domainengineered LiTaO3 crystal," Appl. Phys. Lett. 87,081101 (2005).
[CrossRef]

Ichioka, Y.

Kan’an, A. M.

A. M. Weiner and A. M. Kan’an, "Femtosecond pulse shaping for synthesis, processing, and time-to-space conversion of ultrafast optical waveforms," IEEE J. Sel. Top. Quantum Electron. 4,317-330 (1998).
[CrossRef]

Kirschner, E. M.

A. M. Weiner, J. P. Heritage, and E. M. Kirschner "High-resolution femtosecond pulse shaping," J. Opt. Soc. Am. A 5,1563-1572 (1988).
[CrossRef]

Kobayashi, T.

S. Hisatake, K. Shibuya, and T. Kobayashi, "Ultrafast traveling-wave electro-optic deflector using domainengineered LiTaO3 crystal," Appl. Phys. Lett. 87,081101 (2005).
[CrossRef]

B. Y. Lee, T. Kobayashi, A. Morimoto, and T. Sueta, "High-speed electrooptic deflector and its application to picosecond pulse generation," IEEE J. Quantum Electron. QE-28,1739-1744 (1992).
[CrossRef]

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

T. Kobayashi and T. Sueta, "High-repetition-rate optical pulse generator using a Fabry-Perot electro-optic modulator," Appl. Phys. Lett. 21,341-343 (1972).
[CrossRef]

Konishi, T.

Kuwata-Gonokami, M.

K. Ema, M. Kuwata-Gonokami, and F. Shimizu, "All-optical sub-Tbits/s serial-to-parallel conversion using excitons giant nonlinearity," Appl. Phys. Lett. 59,2799-2801 (1991).
[CrossRef]

Learird, D. E.

A.M. Weiner, D. E. Learird, D. H. Reitze, and E. G. Peak "Femtosecond spectral holography," IEEE J. Quantum Electron. 28,2251-2261 (1992).
[CrossRef]

Lee, B. Y.

B. Y. Lee, T. Kobayashi, A. Morimoto, and T. Sueta, "High-speed electrooptic deflector and its application to picosecond pulse generation," IEEE J. Quantum Electron. QE-28,1739-1744 (1992).
[CrossRef]

Li, M.

Mazurenko, Y. T.

Morimoto, A.

B. Y. Lee, T. Kobayashi, A. Morimoto, and T. Sueta, "High-speed electrooptic deflector and its application to picosecond pulse generation," IEEE J. Quantum Electron. QE-28,1739-1744 (1992).
[CrossRef]

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

Nuss, M. C.

Partovi, A.

Peak, E. G.

A.M. Weiner, D. E. Learird, D. H. Reitze, and E. G. Peak "Femtosecond spectral holography," IEEE J. Quantum Electron. 28,2251-2261 (1992).
[CrossRef]

Pearson, D. B.

J. E. Bjorkholm, E. H. Turner, and D. B. Pearson, "Conversion of cw light into a train of subnanosecond pulses using frequency modulation and the dispersion of a near-resonant atomic vapor," Appl. Phys. Lett. 26,564-566 (1975).
[CrossRef]

Putilin, S. E.

Reitze, D. H.

A.M. Weiner, D. E. Learird, D. H. Reitze, and E. G. Peak "Femtosecond spectral holography," IEEE J. Quantum Electron. 28,2251-2261 (1992).
[CrossRef]

Shibuya, K.

S. Hisatake, K. Shibuya, and T. Kobayashi, "Ultrafast traveling-wave electro-optic deflector using domainengineered LiTaO3 crystal," Appl. Phys. Lett. 87,081101 (2005).
[CrossRef]

Shimizu, F.

K. Ema, M. Kuwata-Gonokami, and F. Shimizu, "All-optical sub-Tbits/s serial-to-parallel conversion using excitons giant nonlinearity," Appl. Phys. Lett. 59,2799-2801 (1991).
[CrossRef]

Spiro, A. G.

Sueta, T.

B. Y. Lee, T. Kobayashi, A. Morimoto, and T. Sueta, "High-speed electrooptic deflector and its application to picosecond pulse generation," IEEE J. Quantum Electron. QE-28,1739-1744 (1992).
[CrossRef]

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

T. Kobayashi and T. Sueta, "High-repetition-rate optical pulse generator using a Fabry-Perot electro-optic modulator," Appl. Phys. Lett. 21,341-343 (1972).
[CrossRef]

Sun, P. C.

Turner, E. H.

J. E. Bjorkholm, E. H. Turner, and D. B. Pearson, "Conversion of cw light into a train of subnanosecond pulses using frequency modulation and the dispersion of a near-resonant atomic vapor," Appl. Phys. Lett. 26,564-566 (1975).
[CrossRef]

Weiner, A. M.

J. -H. Chung and A. M. Weiner, "Real-time detection of femtosecond optical pulse sequences via time-to-space conversion in the lightwave communications band," J. Lightwave Technol. 21,3323-3333 (2003).
[CrossRef]

A. M. Weiner and A. M. Kan’an, "Femtosecond pulse shaping for synthesis, processing, and time-to-space conversion of ultrafast optical waveforms," IEEE J. Sel. Top. Quantum Electron. 4,317-330 (1998).
[CrossRef]

M. C. Nuss, M. Li, T. H. Chiu, A. M. Weiner, and A. Partovi, "Time-tospace mapping of femtosecond pulses," Opt. Lett. 19,664-666 (1994).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, and E. M. Kirschner "High-resolution femtosecond pulse shaping," J. Opt. Soc. Am. A 5,1563-1572 (1988).
[CrossRef]

Weiner, A.M.

A.M. Weiner, D. E. Learird, D. H. Reitze, and E. G. Peak "Femtosecond spectral holography," IEEE J. Quantum Electron. 28,2251-2261 (1992).
[CrossRef]

Yao, H.

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

Yashin, V. E.

Appl. Phys. B (1)

Y. T. Mazurenko, "Holography of wave packets," Appl. Phys. B 50,101-104 (1990).
[CrossRef]

Appl. Phys. Lett. (4)

K. Ema, M. Kuwata-Gonokami, and F. Shimizu, "All-optical sub-Tbits/s serial-to-parallel conversion using excitons giant nonlinearity," Appl. Phys. Lett. 59,2799-2801 (1991).
[CrossRef]

T. Kobayashi and T. Sueta, "High-repetition-rate optical pulse generator using a Fabry-Perot electro-optic modulator," Appl. Phys. Lett. 21,341-343 (1972).
[CrossRef]

J. E. Bjorkholm, E. H. Turner, and D. B. Pearson, "Conversion of cw light into a train of subnanosecond pulses using frequency modulation and the dispersion of a near-resonant atomic vapor," Appl. Phys. Lett. 26,564-566 (1975).
[CrossRef]

S. Hisatake, K. Shibuya, and T. Kobayashi, "Ultrafast traveling-wave electro-optic deflector using domainengineered LiTaO3 crystal," Appl. Phys. Lett. 87,081101 (2005).
[CrossRef]

IEEE J. Quantum Electron. (3)

T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, "Optical pulse compression using high-frequency electrooptic phase modulation," IEEE J. Quantum Electron. 24,382-387 (1988).
[CrossRef]

B. Y. Lee, T. Kobayashi, A. Morimoto, and T. Sueta, "High-speed electrooptic deflector and its application to picosecond pulse generation," IEEE J. Quantum Electron. QE-28,1739-1744 (1992).
[CrossRef]

A.M. Weiner, D. E. Learird, D. H. Reitze, and E. G. Peak "Femtosecond spectral holography," IEEE J. Quantum Electron. 28,2251-2261 (1992).
[CrossRef]

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

A. M. Weiner and A. M. Kan’an, "Femtosecond pulse shaping for synthesis, processing, and time-to-space conversion of ultrafast optical waveforms," IEEE J. Sel. Top. Quantum Electron. 4,317-330 (1998).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. Soc. Am. A (3)

Opt. Lett. (2)

Other (1)

A. Morimoto, M. Tamaru, Y. Matsuda, M. Arisawa, and T. Kobayashi, in Pacific Rim Conference on Lasers and Electro-Optics (Institute of Electrical and Electronics Engineers, 1995), p. 234.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1.
Fig. 1.

Sinusoidal electrooptic deflector (EOD). (a): A simple EOD. For the linearly distributed modulation index, the electrode shape is triangle. (b): Time varying spatially distributed phase shift.

Fig. 2.
Fig. 2.

Basic configuration of the time-to-space mapping of the optical signal using the deflection. EOD: Electrooptic deflector. FT lens: Fourier transform lens. f: focal length of the FT lens.

Fig. 3.
Fig. 3.

The deflected beam trajectory at the FT plane. The amplitude distribution function of the input beam in (a) and (b) is assumed as A(x)=exp[-(x/w)2]. In (c), the rectangular beam is assumed: A(x)=1 for |x 0|≤d, A(x)=0 for |x 0|>d.

Fig. 4.
Fig. 4.

Relation between parameters pw/d and rNG /Nrec . Solid line indicates the case of using Gaussian beam together with the slit, and is obtained by numerical calculation. Dotted line is calculated using Eq. (7) and Eq. (9). The dotted line is valid for roughly p<0.5.

Fig. 5.
Fig. 5.

Time slot of the time-to-space mapping. (a): Schematic definition of the time slot. (b): Relation between the normalized time slot and the normalized time resolution.

Fig. 6.
Fig. 6.

Experimental setup.

Fig. 7.
Fig. 7.

Experimental results. (a):Typical streak image of generated pulse train. (b): Relation between the maximum modulation index and the pulse width.

Equations (14)

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

E 0 ( x 0 , t ) = A ( x 0 ) exp [ j ( 2 π f 0 t Δ θ ( x 0 ) cos ( 2 π f m t ) ) ] ,
Δ ϕ ( x 0 , t ) = Δ θ m x 0 d cos ( 2 π f m t ) ,
1 2 π Δ ϕ ( x 0 , t ) t = Δ θ m f m d x 0 sin ( 2 π f m t ) .
Δ v 2 Δ θ m f m .
E 1 ( x 1 , t ) E 0 ( x 0 , t ) · exp [ j 2 π f λ x 0 x 1 ] d x 0 ,
E 1 : app ( x 1 , t ) exp [ ( π w λ f ) 2 ( x 1 + λ f Δ θ m 2 π d cos 2 π f m t ) 2 ] .
N G app = w d Δ θ m 2 ln 2 = Δ θ m 2 ln 2 p .
E 1 : rec ( x 1 , t ) sin ( X ( x 1 , t ) ) X ( x 1 , t ) , X ( x 1 , t ) 2 π d f λ ( x 1 + Δ θ m 2 π d f λ cos ( 2 π f m t ) ) ,
N rec Δ θ m 1.39 .
E 1 : app ( 0 , τ ) exp [ 1 2 ( Δ θ m w d cos ( 2 π f m τ ) ) 2 ] .
sin ( π f m Δ τ G : min app ) = 2 ln 2 Δ θ m p = 1 N G app Δ τ G : min app = sin 1 ( 1 N G app ) π f m .
sin ( π f m Δ τ rec : min ) 1.39 Δ θ m = 1 N rec Δ τ rec : min sin 1 ( 1 N rec ) π f m .
Δ τ min 1 π N f m .
Δ τ rec : min ~ 2 π 1.39 Δ v ~ 0.885 Δ v ,

Metrics