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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 2 — Feb. 1, 2001
  • pp: 448–458

Linear and nonlinear operation of a time-to-space processor

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

JOSA A, Vol. 18, Issue 2, pp. 448-458 (2001)

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The operational characteristics of a time-to-space processor based on three-wave mixing for instantaneous imaging of ultrafast waveforms are investigated. We assess the effects of various system parameters on the processor’s important attributes: time window of operation and signal conversion efficiency. Both linear and nonlinear operation regimes are considered, with use of a Gaussian pulse profile and a Gaussian spatial mode model. This model enables us to define a resolution measure for the processor, which is found to be an important characteristic. When the processor is operated in the linear interaction regime, we find that the conversion efficiency of a temporal signal to a spatial image is inversely proportional to the resolution measure. In the nonlinear interaction regime, nonuniform signal conversion due to fundamental wave depletion gives rise to a phenomenon that can be used to enhanced the imaging operation. We experimentally verify this nonlinear operation.

© 2001 Optical Society of America

OCIS Codes
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(190.1900) Nonlinear optics : Diagnostic applications of nonlinear optics
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(320.7100) Ultrafast optics : Ultrafast measurements
(320.7110) Ultrafast optics : Ultrafast nonlinear optics

Original Manuscript: December 13, 1999
Revised Manuscript: July 5, 2000
Manuscript Accepted: July 5, 2000
Published: February 1, 2001

Dan M. Marom, Dmitriy Panasenko, Pang-Chen Sun, and Yeshaiahu Fainman, "Linear and nonlinear operation of a time-to-space processor," J. Opt. Soc. Am. A 18, 448-458 (2001)

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