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

2. 2 Outline OriginRealizationApplicationProgress

3. 3 lens Time lens spatial temporal Origin

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

5. 5 Temporal-imaging Vs. Spatial-imaging

6. 6 Temporal-imaging condition ① ②③ ④ ① ② ③ ④

7. 7

8. 8 Spatial-imaging condition

9. 9

10. 10 EO PM FWM/S/D-F/XPM Using second- order nonlinearity material Using any material including silica glass and silica Electro-optical phase modulator Realization

11. 11 Pulse compression Time magnification Real-time Fourier transformers(Time-to- frequency conversion) Temporal cloaking Optical Sampling Tunable delay Timing-jitter reduction Application

12. 12 “Silicon-chip-based ultrafast optical oscilloscope”nature,2008 220-fs resolution

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

14. 14 Dispersion-time lens dualism

15. 15 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):

16. 16 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):

17. 17 Dual Fraunhofer regimes

18. 18 Frequency-to-time conversion If the dispersion coefficient verifies the condition(temporal Fraunhofer condition):

19. 19 Time-to-frequency conversion If this bandwidth is sufficiently narrow so that: Can be neglected So:

20. 20 Numerical simulations FWHM:1ps ΔT: 5ps

21. 21 Simulation results

22. 22 Spectrum analyzer

23. 23 “Optical time lens based on four-wave mixing on a silicon chip” OL,2008 290ps Progress

24. 24 “Asynchronous Single -Shot Optical Sampling of High -Repetition-Rate Signals Using Temporal Magnification” OFC 2013 11GHz 225GHz

25. 25 Demonstration of temporal cloaking,nature,2012

26. 26 Thank you!