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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1759–1773

Femtosecond-rate space-to-time conversion

Dan Marom, Dmitriy Panasenko, Pang-Chen Sun, and Yeshaiahu Fainman  »View Author Affiliations


JOSA B, Vol. 17, Issue 10, pp. 1759-1773 (2000)
http://dx.doi.org/10.1364/JOSAB.17.001759


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Abstract

A real-time spatial–temporal processor based on cascaded nonlinearities converts space-domain images to time-domain waveforms by the interaction of spectrally decomposed ultrashort pulses and spatially Fourier-transformed images carried by quasi-monochromatic light waves. We use four-wave mixing, achieved by cascaded second-order nonlinearities with type II noncollinear phase matching, for femtosecond-rate processing. We present a detailed analysis of the nonlinear mixing process with waves containing wide temporal and angular bandwidths. The wide bandwidths give rise to phase-mismatch terms in each process of the cascade. We define a complex spatial–temporal filter to characterize the effects of the phase-mismatch terms, modeling the deviations from the ideal system response. New experimental results that support our findings are presented.

© 2000 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.5540) Ultrafast optics : Pulse shaping

Citation
Dan Marom, Dmitriy Panasenko, Pang-Chen Sun, and Yeshaiahu Fainman, "Femtosecond-rate space-to-time conversion," J. Opt. Soc. Am. B 17, 1759-1773 (2000)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-10-1759


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References

  1. C. Froehly, B. Colombeau, and M. Vampouille, “Shaping and analysis of picosecond light pulses,” in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153.
  2. A. M. Weiner, “Femtosecond optical pulse shaping and processing,” Prog. Quantum Electron. 19, 161–237 (1995). [CrossRef]
  3. Y. T. Mazurenko, “Holography of wave packets,” Appl. Phys. B 50, 101–114 (1990). [CrossRef]
  4. A. M. Weiner, J. P. Heritage, and E. M. Kirschner, “High-resolution femtosecond pulse shaping,” J. Opt. Soc. Am. B 5, 1563–1572 (1988). [CrossRef]
  5. A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, “Programmable femtosecond pulse shaping by use of a multielement liquid-crystal phase modulator,” Opt. Lett. 15, 326–328 (1990). [CrossRef] [PubMed]
  6. M. E. Fermann, V. di Silva, D. A. Smith, Y. Silberberg, and A. M. Weiner, “Shaping of ultrashort optical pulses by using an integrated acousto-optic tunable filter,” Opt. Lett. 18, 1505–1507 (1993). [CrossRef] [PubMed]
  7. M. M. Wefers and K. A. Nelson, “Programmable phase and amplitude femtosecond pulse shaping,” Opt. Lett. 18, 2032–2034 (1993). [CrossRef] [PubMed]
  8. M. C. Nuss and R. L. Morrison, “Time-domain images,” Opt. Lett. 20, 740–742 (1995). [CrossRef] [PubMed]
  9. P. C. Sun, Y. Mazurenko, W. S. C. Chang, P. K. L. Yu, and Y. Fainman, “All-optical parallel-to-serial conversion by holographic spatial-to-temporal frequency encoding,” Opt. Lett. 20, 1728–1730 (1995). [CrossRef] [PubMed]
  10. M. C. Nuss, M. Li, T. H. Chiu, A. M. Weiner, and A. Partovi, “Time-to-space mapping of femtosecond pulses,” Opt. Lett. 19, 664–666 (1994). [CrossRef] [PubMed]
  11. Y. Ding, R. M. Brubaker, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Femtosecond pulse shaping by dynamic holograms in photorefractive multiple quantum wells,” Opt. Lett. 22, 718–720 (1997). [CrossRef] [PubMed]
  12. D. M. Marom, D. Panasenko, P.-C. Sun, and Y. Fainman, “Spatial-temporal wave mixing for space-to-time conversion,” Opt. Lett. 24, 563–565 (1999). [CrossRef]
  13. M. A. Krumbügel, J. N. Sweetser, D. N. Fittinghoff, K. W. DeLong, and R. Trebino, Opt. Lett. 22, 245–247 (1997). [CrossRef]
  14. D. M. Marom, P. C. Sun, and Y. Fainman, “Analysis of spatial-temporal converters for all-optical communication links,” Appl. Opt. 37, 2858–2868 (1998). [CrossRef]
  15. O. E. Martinez, “Grating and prism compressors in the case of finite beam size,” J. Opt. Soc. Am. B 3, 929–934 (1986). [CrossRef]
  16. M. M. Wefers and K. A. Nelson, “Analysis of programmable ultrashort waveform generation using liquid-crystal spatial light modulators,” J. Opt. Soc. Am. B 12, 1343–1362 (1995). [CrossRef]
  17. J. Paye and A. Migus, “Space–time Wigner functions and their applications to the analysis of a pulse shaper,” J. Opt. Soc. Am. B 12, 1480–1490 (1995). [CrossRef]
  18. M. M. Wefers and K. A. Nelson, “Space–time profiles of shaped ultrafast optical waveforms,” IEEE J. Quantum Electron. 32, 161–172 (1996). [CrossRef]
  19. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 6.
  20. M. Schubert and B. Wilhelmi, Nonlinear Optics and Quantum Electronics (Wiley, New York, 1986), Chap. 1.
  21. 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]
  22. J. B. Khurgin, A. Obeidat, S. J. Lee, and Y. J. Ding, “Cascaded optical nonlinearities: microscopic understanding as a collective effect,” J. Opt. Soc. Am. B 14, 1977–1983 (1997). [CrossRef]
  23. V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, 2nd ed. (Springer-Verlag, Berlin, 1997).
  24. Y. Ding, D. D. Nolte, M. R. Melloch, and A. M. Weiner, “Time-domain image processing using dynamic holography,” IEEE J. Sel. Top. Quantum Electron. 4, 332–341 (1998). [CrossRef]
  25. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), Chap. 4.
  26. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 12.

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