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Information transfer via temporal convolution in nonlinear optics.

Philippe Lassonde1, Heide Ibrahim2, Adrien Leblanc2,3

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Summary
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We demonstrate frequency-domain nonlinear optics for temporal convolution of ultrashort pulses. This method enables novel nonlinear optical operations and advanced signal processing for optical information manipulation.

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Area of Science:

  • Nonlinear optics
  • Quantum optics
  • Optical signal processing

Background:

  • Nonlinear parametric processes with ultrashort pulses are typically time-domain convolutions.
  • Frequency-domain nonlinear optics usually involves spectral multiplication.

Purpose of the Study:

  • To extend frequency-domain nonlinear optics to perform temporal convolution.
  • To realize nonlinear optical operations inaccessible in the time domain.

Main Methods:

  • Utilizing frequency-domain nonlinear optics for nonlinear interaction within a parametric crystal.
  • Employing type-II second harmonic generation with cross-polarized input pulses.

Main Results:

  • Demonstrated the ability to perform temporal convolution in the frequency domain.
  • Generated a second harmonic pulse carrying amplitude and phase information of two input pulses.
  • Achieved coherent advancement of optical information by picoseconds within a pulse sequence.

Conclusions:

  • Frequency-domain nonlinear optics offers a new approach for temporal convolution.
  • This technique allows for dynamic optical filtering and pulse shaping, adapting instantaneously to the laser field.
  • Enables novel nonlinear optical operations and advanced signal processing capabilities.