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Nonlinear Optics and Photonics$
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Guang S. He

Print publication date: 2014

Print ISBN-13: 9780198702764

Published to Oxford Scholarship Online: December 2014

DOI: 10.1093/acprof:oso/9780198702764.001.0001

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Detailed Theory of Nonlinear Susceptibilities

Detailed Theory of Nonlinear Susceptibilities

(p.579) 18 Detailed Theory of Nonlinear Susceptibilities
Nonlinear Optics and Photonics

Guang S. He

Oxford University Press

Nonlinear susceptibilities of optical media are the key parameters to describe various nonlinear optical effects and phenomena within the framework of semiclassical theory. In this chapter, explicit expressions of various orders of nonlinear susceptibilities are derived in the approximation of electric-dipole moment by using the density matrix method. The basic properties of nonlinear susceptibilities are discussed in detail, including their symmetry properties, local-field correction, and resonance enhancement. Strictly speaking, the formulations of various orders of susceptibilities described here are applicable only to those cases where (i) the electron-cloud distortion and the intramolecular motion are the major sources of the nonlinear polarization of the medium, and (ii) the nonlinear polarization response of the medium is instantaneous and localized with respect to the applied optical field.

Keywords:   Nonlinear electric polarization, nonlinear susceptibilities, resonance enhancement, density matrix method

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