>[!Info] >**Title**: Nonlinear Optics (Fourth Edition) >**PDF**: [[nonlinear optics Robert.W.Boyd.pdf]] **Keywords**: **Abstract**: >_Nonlinear Optics, Fourth Edition,_ is a tutorial-based introduction to nonlinear optics that is suitable for graduate-level courses in electrical and electronic engineering, and for electronic and computer engineering departments, physics departments, and as a reference for industry practitioners of nonlinear optics. It will appeal to a wide audience of optics, physics and electrical and electronic engineering students, as well as practitioners in related fields, such as materials science and chemistry. **Notes and Comments**: - This an extremely well written book on topics of nonlinear optics. Author: Robert W. Boyd - In page 7 [[nonlinear optics Robert.W.Boyd.pdf#page=20&selection=58,0,301,0|nonlinear optics Robert.W.Boyd, page 20]], the author stated that another convention people use. This is the form in the book [[The elements of nonlinear optics]]. And the numerical factor is the same as shown in Table 2.1. See the first note. - For optical rectification (OR), we write $\chi^{(2)}(0,\omega_{1}, -\omega_{1})$. For individual input frequency, their is only one field, but since the output field is static, aka $\omega=0$, $E^{*}E$ and $EE^{*}$ are combined. Therefore, although according to Table 2.1 in [[The elements of nonlinear optics]], the factor should be the same as SHG, namely 1, the actual polarization will have a factor 2 due to the nature of product of field and its complex conjugate. - Also consider actual experiments (and an early work on this field), [[Optical Rectification]], the author separate $\chi^{(2)}$ for different frequencies. - Useful tables and charts: 2nd susceptibilities and crystal class. Table 1.5.2. at [[nonlinear optics Robert.W.Boyd.pdf#page=59&selection=4,0,7,43|nonlinear optics Robert.W.Boyd, page 46]] and Figure 1.5.3. at [[nonlinear optics Robert.W.Boyd.pdf#page=60&selection=0,36,14,79|nonlinear optics Robert.W.Boyd, page 47]]. ^02fa5e - $d_{il}$ values for some crystals are provided in Table 1.5.3 at [[nonlinear optics Robert.W.Boyd.pdf#page=62&selection=4,0,6,68|nonlinear optics Robert.W.Boyd, page 49]]. ^c5c8a4 - For third order susceptibilities tensor, check [[nonlinear optics Robert.W.Boyd.pdf#page=64&selection=4,0,15,70|nonlinear optics Robert.W.Boyd, page 51-53, Table 1.5.4]]. ^00906a -