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Chapter 19-20. Acoustic-optics & Electro-Optics. 其实 ,也属于非 线性光 学. Review. 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. Nonlinear Optical Media. The ‘P-E’ relation. From Maxwell’s equations. 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.
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Chapter 19-20 Acoustic-optics & Electro-Optics 其实,也属于非线性光学
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
The ‘P-E’ relation From Maxwell’s equations
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
关注点 • 二次非线性 • 自聚焦 • 四波混频 • 孤子(soliton)
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
Frequency and Phase Matching 全部由光子参与的过程,满足。。。
两大类可能性 可以动量匹配 不可以动量匹配
Non-Collinear SHG Spontaneous Parametric Downconversion (SPDC).
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.
Generation of Entangled Photons Parametric down-conversion (PDC)
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
Quasi-Phase Matching 对非线性感应系数d做周期调制
Thírd-HarmonícGeneratíon (THG) Optical Kerr Effect