1. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu Phase Conjugation in Silicon waveguide Xiujian Li Dec.22, 2011

2. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu 2 First proposed by Va. Zel'dovich and his colleagues in Moscow in 1972, with stimulated Brillouin scattering effect. Firstly, main applications in free space (spatial): The forward and the backward light have the same wavefront. 1. What’s phase conjugation

3. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu 3 1.Adaptive Optics; 2.Lensless Imaging; 3.Generating "Time-reversed" Light; 4.Phase-Conjugate Resonators; 5.Image processing; 6.Associative memory; 7.Frequency effect/ shift; 8.Time-Domain Applications (dispersion and nonlinear effect compensation). 2. Applications of phase conjugation

4. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu 4 3. Time- and Spectral-Phase conjugation

5. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu

6. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu 6 4. Phase conjugation and Four-Wave Mixing

7. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu 7 5. Implement Hu, H., et al.. Optics Letters, 2010. 35(17): p. 2867-2869.

8. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu 8 6. Next step 1.Design the parameters based on Silicon nano-waveguide; 2.Design the experimental setup based on current setup (for compression, SPM, and CPM); 3.Observe the frequency distribution via OSA; 4.Observe the phase distribution via FROG / X-FROG. 5.Associated with phase noise and timing jitter.

9. Wong group, Optical Nanostructures Laboratory, Columbia UniversityXiujian Li xl2311@columbia.eduxl2311@columbia.edu 9 7. Referenced setup