1. 9
Nonlinear Optics

2. Nonlinear susceptibility tensor

3. The Physical origin of optical nonlinearities

4. Oscillator model:

7. Non-resonant nonlinearities
Second-order nonlinearities ((2))
-- Nonlinear frequency mixing

10.   = 2 - 21= 0  k = k2 -2k 1 = 0 Phase matching
Optical frequency conversion
(Second Harmonic generation)
Energy conservation
Momentum conservation k
  = 2 - 21= 0
 k = k2 -2k 1 = 0
Birefringence Phase Match (BPM)

11. QPM Condition: k=(k2-2k )-Gm=0Ln Lp
dij
Lp+Ln X Y Z X
QPM Condition: k=(k2-2k )-Gm=0

12. Overview of third-order phenomena

13. The optical Kerr effect and the nonlinear rafractive index
Frequency tripling
Phase match problem
The optical Kerr effect and the nonlinear rafractive index
( degeneate four-wave mixing)
No phase match problem
(K: Kerr constant)

14. Stimulated Raman scattering

15. Resonant nonlinearities

16. Saturable absorber
Resonant nonlinerarities are third-order nonlinear

17. Resonant nonlinearities in semiconductors