Hyperpolarizability and second order susceptibility

[Konte]

Hello everybody,

My question is about nonlinear optic in both macroscopic and microscopic point of view.

What is the relationship between second order susceptibility tensor $\chi^{(2)}$ and the first hyperpolarizability tensor $\beta$ ?

Thank you everybody.
Konte.

 

[DrDu]

http://dugi-doc.udg.edu/bitstream/handle/10256/8419/MicroscopicMacroscopic.pdf?sequence=1

 

[Konte]

Thanks for your answer.

Konte