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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 27, Iss. 10 — Oct. 1, 2010
  • pp: 2110–2115

Electro-optic time lens with an extended time aperture

Luis Enrique Munioz-Camuniez, Victor Torres-Company, Jesús Lancis, Jorge Ojeda-Castañeda, and Pedro Andrés  »View Author Affiliations

JOSA B, Vol. 27, Issue 10, pp. 2110-2115 (2010)

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We propose what we believe to be a new approach to correct the residual aberrations of time lenses implemented through electro-optic sinusoidal phase modulation. The method is based on a single modulator driven with various harmonic channels coming from the same clock signal. Proper weighting of the amplitude and phase of the channels allows us to achieve nearly perfect parabolic phase modulation over a fraction of the clock period. We show numerically that our proposal only requires three harmonics of the clock frequency to achieve truly parabolic modulation over a time window that extends across 70% of the period. We illustrate the benefits of this aberration-free scheme in a pulse compression scenario and compare its performance with previous conventional Fourier optimization techniques. Our study offers simple guidelines to achieve indeed quadratic phase modulation in situations where electro-optic phase modulation in lithium niobate is required, such as integrated frequency comb technology or high-speed optical pulse shaping.

© 2010 Optical Society of America

OCIS Codes
(060.5060) Fiber optics and optical communications : Phase modulation
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(320.5520) Ultrafast optics : Pulse compression
(070.7145) Fourier optics and signal processing : Ultrafast processing

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: May 24, 2010
Revised Manuscript: August 11, 2010
Manuscript Accepted: August 13, 2010
Published: September 22, 2010

Luis Enrique Munioz-Camuniez, Victor Torres-Company, Jesús Lancis, Jorge Ojeda-Castañeda, and Pedro Andrés, "Electro-optic time lens with an extended time aperture," J. Opt. Soc. Am. B 27, 2110-2115 (2010)

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  1. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1991).
  2. B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30, 1951–1963 (1994). [CrossRef]
  3. J. van Howe and C. Xu, “Ultrafast optical signal processing based upon space-time dualities,” J. Lightwave Technol. 24, 2649–2662 (2006). [CrossRef]
  4. B. H. Kolner, “Active pulse compression using an integrated electro-optic phase modulator,” Appl. Phys. Lett. 52, 1122–1124 (1988). [CrossRef]
  5. C. V. Bennett, R. P. Scott, and B. H. Kolner, “Temporal magnification and reversal of 100 Gb/s optical-data with an up-conversion time microscope,” Appl. Phys. Lett. 65, 2513–2515 (1994). [CrossRef]
  6. B. H. Kolner and M. Nazarathy, “Temporal imaging with a time lens,” Opt. Lett. 14, 630–632 (1989). [CrossRef] [PubMed]
  7. M. T. Kauffman, W. C. Banyai, A. A. Godil, and D. M. Bloom, “Time-to-frequency converter for measuring picosecond optical pulses,” Appl. Phys. Lett. 64, 270–273 (1994). [CrossRef]
  8. M. Nakazawa, T. Hirooka, F. Futami, and S. Watanabe, “Ideal distortion-free transmission using optical Fourier transformation and Fourier transform-limited optical pulses,” IEEE Photon. Technol. Lett. 16, 1059–1061 (2004). [CrossRef]
  9. T. Jannson, “Real-time Fourier transformation in dispersive optical fibers,” Opt. Lett. 8, 232–234 (1983). [CrossRef] [PubMed]
  10. V. Torres-Company and L. R. Chen, “Radio-frequency waveform generator with time-multiplexing capabilities based on multi-wavelength pulse compression,” Opt. Express 17, 22553–22565 (2009). [CrossRef]
  11. J. van Howe, J. Hansryd, and C. Xu, “Multiwavelength pulse generator using time-lens compression,” Opt. Lett. 29, 1470–1472 (2004). [CrossRef] [PubMed]
  12. C. V. Bennett and B. H. Kolner, “Aberrations in temporal imaging,” IEEE J. Quantum Electron. 37, 20–32 (2001). [CrossRef]
  13. C. V. Bennett and B. H. Kolner, “Principles of parametric temporal imaging I: system configurations,” IEEE J. Quantum Electron. 36, 430–437 (2000). [CrossRef]
  14. C. V. Bennett, B. D. Moran, C. Langrock, M. M. Fejer, and M. Ibsen, “640 GHz real-time recording using temporal imaging,” in Conference on Lasers and Electro-Optics (CLEO) (2008), paper CTuA6.
  15. L. K. Mouradian, F. Louradour, V. Messager, A. Barthélémy, and C. Froehly, “Spectro-temporal imaging of femtosecond events,” IEEE J. Quantum Electron. 36, 795–801 (2000). [CrossRef]
  16. T. Hirooka and M. Nakazawa, “All-optical 40 GHz time-domain Fourier transformation using XPM with a dark parabolic pulse,” IEEE Photon. Technol. Lett. 20, 1869–1871 (2008). [CrossRef]
  17. R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, “Optical time lens based on four-wave mixing on a silicon chip,” Opt. Lett. 33, 1047–1049 (2008). [CrossRef] [PubMed]
  18. M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, “Silicon-chip-based ultrafast optical oscilloscope,” Nature 456, 81–84 (2008). [CrossRef] [PubMed]
  19. Y. Okawachi, R. Salem, M. A. Foster, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, “High-resolution spectroscopy using a frequency magnifier,” Opt. Express 17, 5691–5697 (2009). [CrossRef] [PubMed]
  20. R. Salem, M. A. Foster, A. C. Turner-Foster, D. F. Geraghty, M. Lipson, and A. L. Gaeta, “High-speed optical sampling using a silicon-chip temporal magnifier,” Opt. Express 17, 4324–4329 (2009). [CrossRef] [PubMed]
  21. M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, “Ultrafast waveform compression using a time-domain telescope,” Nat. Photonics 3, 581–585 (2009). [CrossRef]
  22. V. Torres-Company, J. Lancis, and P. Andrés, “Lossless equalization of frequency combs,” Opt. Lett. 33, 1822–1824 (2008). [CrossRef] [PubMed]
  23. T. Yamamoto, T. Komukai, K. Suzuki, and A. Takada, “Multicarrier light source with flattened spectrum using phase modulators and dispersion medium,” J. Lightwave Technol. 27, 4297–4305 (2009). [CrossRef]
  24. Y. Q. Shi, L. S. Yan, and A. E. Willner, “High-speed electrooptic modulator characterization using optical spectrum analysis,” J. Lightwave Technol. 21, 2358–2367 (2003). [CrossRef]
  25. Y. Liao, H. J. Zhou, and Z. Meng, “Modulation efficiency of a LiNbO3 waveguide electro-optic intensity modulator operating at high microwave efficiency,” Opt. Lett. 34, 1822–1824 (2009). [CrossRef] [PubMed]
  26. M. D. Pelusi, Y. Matsui, and A. Suzuki, “Electrooptic phase modulation of stretched 250-fs pulses for suppression of third-order fiber dispersion in transmission,” IEEE Photon. Technol. Lett. 11, 1461–1463 (1999). [CrossRef]
  27. M. Haner and W. S. Warren, “Synthesis of crafted optical pulses by time domain modulation in a fiber-grating compressor,” Appl. Phys. Lett. 52, 1458–1461 (1988). [CrossRef]

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