1. Chapter 19-20 1 Acoustic-optics & Electro-Optics 其实，也属于非线性光学

2. Review

3. 非线性的来源  理想模型的偏差  强场驱动下偏离谐振 子模型  电子云的畸变  等等

4. NONLINEAR OPTICAL MEDIA

5. The ‘P-E’ relation From Maxwell’s equations

6. The Nonlinear Wave Equation 但是，由于物质内部的屏蔽 作用，在可见光波段，非线 性响应非常小 … 低频时 (<MHz), 磁滞回线是种典 型的强非线性

8. 关注点  二次非线性  自聚焦  四波混频  孤子 (soliton)

9. SECOND-ORDER NONLINEAR OPTICS

11. Second-Harmonic Generation (SHG) and Rectification

12. to maximize the SHG effìciency  the incident wave have the largest possible power P  by use of pulsed lasers with large peak power  be focused to the smallest possible area A  provide the longest possible interaction length L

13. Optical second-harmonic generation

15. Electro-Optic Effect

16. 其实，是 Three-Wave Mixing

17. Frequency and Phase Matching 全部由光子参与的过程，满足。。。

18. Three-Wave Mixing Modalities

19. Wave Mixing as a Photon Interaction Process

20. 两大类可能性 可以动量匹配 不可以动量匹配

21. Non-Collinear SHG Spontaneous Parametric Downconversion (SPDC).

22. Generation of Entangled Photons  Parametric down-conversion (PDC)  twin daughter photons are produced simultaneously from a parent photon  the signal and idler photons have natural correlations in energy and momentum.  Type-I phase matching  The generated signal and idler photons have parallel polarizations.  Type-II phase matching  The signal and idler photons have perpendicular polarizations. 22

23. Generation of Entangled Photons 23 Parametric down-conversion (PDC)

24. in Collinear Three-Wave Mixing

27. Tolerable Phase Mismatch and Coherence Length Lc: 几个微米 L<Lc 时（比如非线性晶体的粉末）， 可以看到一些 SHG 信号

31. Quasi-Phase Matching 对非线性感应系数 d 做周期调制

32. 畴反转： n 不变， d  -d….

47. THIRD-ORDER NONLINEAR OPTICS

48. Kerr medium

49. Thírd-Harmoníc Generatíon (THG) Optical Kerr Effect

50. Self-Phase Modulation Self-Focusing

51. Cross-Phase Modulation (XPM)

52. Four-Wave Mixing (FWM)

53. Optical Phase Conjugation (OPC) to exactly reverse the propagation direction and phase variation of a beam of light

54. Degenerate Four-Wave Mixing as a Form of Real-Time Holography

55. in wave Restoration E.exp(ikz)  E*.exp(-ikz) E.exp(ikz)  E.exp(-ikz)

56. COUPLED-WAVE THEORY OF THREE-WAVE MIXING

58. Second-Harmonic Generation (SHG)

60. Optical Frequency Conversion (OFC)

61. Optical Parametric Amplifier (OPA)

62. Optical Parametric Oscillator (OPO)

63. ANISOTROPIC NONLINEAR MEDIA

67. OPTICAL SOLITONS

69. Soliton on the Scott Russell Aqueduct on the Union Canal near Heriot-Watt University, 12 July 1995

70. 色散 (dispersion) 与非线性 (nonlinearity) 的竞争 / 补偿

71. 虽然存在非线性, 但 两个孤子之间 ” 表 面 ” 上不会影响对 方, 除了一个 ” 时间 差 ” 线性 & 无色散系统中, 一个波包会保存其形 状, 但这与孤子有本质 的不同

72. 速度与振幅相关. 振幅越大, 速度越快.

73. a Gaussian pulse of width  0 with dispersion parameter  ”,

74. END

75. HomeWorks  Problems 19.1-1  Problems 20.1-3  Problems 20.1-5