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Time lens

Time lens. Zhengran L.B.R Tuesday, April 23, 2013. Outline. Origin. lens. spatial. Time lens. temporal. Space-Time Duality. time lens: quadratic phase modulation. “Space-Time Duality and the Theory of Temporal Imaging” JOQE,1994.

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Time lens

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  1. Time lens Zhengran L.B.R Tuesday, April 23, 2013

  2. Outline

  3. Origin lens spatial Time lens temporal

  4. Space-Time Duality time lens: quadratic phase modulation “Space-Time Duality and the Theory of Temporal Imaging” JOQE,1994

  5. Temporal-imaging Vs. Spatial-imaging

  6. Temporal-imaging condition ① ④ ① ② ③ ② ③ ④

  7. Temporal-imaging condition

  8. Temporal-imaging condition Temporal-imaging condition Spatial-imaging condition

  9. Realization • EO PM • FWM/S/D-F/XPM Using second-order nonlinearity material Using any material including silica glass and silica Electro-optical phase modulator

  10. Pulse compression • Time magnification • Real-time Fourier transformers(Time-to-frequency conversion) • Temporal cloaking • Optical Sampling • Tunable delay • Timing-jitter reduction • Application

  11. 220-fs resolution “Silicon-chip-based ultrafast optical oscilloscope”nature,2008

  12. Time-to-frequency conversion using a single time lens Jose Azana Photonic Systems Group, Department of Electrical and Computer Engineering, McGill University, 3480University Street,

  13. Dispersion-time lens dualism

  14. Analysis- First-order dispersion • A dispersive medium can be described as a phase-only filter with a frequency transfer function: • First-order dispersion coefficient of the medium: • temporal impulse response: • Filter impulse response: • Fourier transforms of b(t):

  15. Analysis-time lens • a time lens is a phase-only modulator with a modulation function: • Modulated signal: • Fourier transform of the time-lens modulation function m(t):

  16. Dual Fraunhofer regimes

  17. Frequency-to-time conversion • If the dispersion coefficient verifies the condition(temporal Fraunhofer condition):

  18. Time-to-frequency conversion • If this bandwidth is sufficiently narrow so that: So: Can be neglected

  19. Numerical simulations FWHM:1ps ΔT: 5ps

  20. Simulation results

  21. Spectrum analyzer

  22. Progress 290ps “Optical time lens based on four-wave mixing on a silicon chip” OL,2008

  23. 225GHz 11GHz “Asynchronous Single -Shot Optical Sampling of High -Repetition-Rate Signals Using Temporal Magnification” OFC 2013

  24. Demonstration of temporal cloaking,nature,2012

  25. Thank you!

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