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Chapter
Introduction to the Nonlinear Susceptibility
DOI link for Introduction to the Nonlinear Susceptibility
Introduction to the Nonlinear Susceptibility book
Introduction to the Nonlinear Susceptibility
DOI link for Introduction to the Nonlinear Susceptibility
Introduction to the Nonlinear Susceptibility book
ABSTRACT
This chapter introduces the nonlinear polarization through a field-dependent susceptibility. It justifies this connection using a classical picture based on an anharmonic oscillator model. The connection between the polarization and fields is expanded to include more possible field couplings by treating the susceptibility as a tensor. The chapter focuses primarily on and developing a formalism for the nonlinear susceptibility for the so-called second-order effects. It focuses on one particular second-order process, the electro-optic (EO) effect, which describes one way to control the index of refraction through the nonlinear properties of a material. The chapter also covers the more general aspects of the nonlinear susceptibility. This assumption is formalized with a discussion on Kleinman's symmetry. The derivation of a nonlinear polarization given is typically used for most second-order nonlinear effects. However, the so-called linear electro-optic effect effect, also known as the Pockels' effect, uses a different formalism and a different terminology.