Third harmonic generation theory

Sipe J E, Moss D J and van Driel H M 1987 Phenomenological theory of optical second- and third-harmonic generation from cubic centrosymmetric crystals Phys. Rev. B 35 1129-41... 

The Mie solution given here assumes a linear response if the classical oscillator is driven hard, anharmonic terms appear which give rise to a nonlinear Mie scattering, similar to effects considered in chapter 9. The perturbative theory of nonlinear Mie scattering has been given for spherical metal clusters, and gives rise to second and third harmonic generation [699]. 

The Hubbard model, which has played a significant part in the earlier development of nonlinear optical response theory of molecules, has been revived by Shehadi et al.203 to explain the properties of small bridged metallic polymers. The Hubbard-Peierls hamiltonian has also been used by Shuai et al.,204 in conjunction with a symmetry adapted density matrix renormalization group formulation, to calculate a number of properties, including third harmonic generation in trans-octatetraene. 

J. Zhang, P Lambropoulos, Laser-induced continuum structure and third-harmonic generation in sodium Theory and calculations, Phys. Rev. A 45 (1992) 489. 

Theory and experimental demonstration of optical third-harmonic generation in cholesteric liquid crystal [11]. 

III. THEORY OF THIRD-HARMONIC GENERATION IN CHOLESTERIC LIQUID CRYSTALS... 

Nonlinear Absorption. In theory, any of the above measurement techniques could be applied to materials in the presence of nonlinear absorption and interpreted to provide the two-photon absorption coefficient or the two-photon cross-section The study of multiphoton absorption is, of course, inherently spectroscopic, probing the multiphoton resonances that impact various nonlinear phenomena. Third-harmonic generation in thin films has been used to characterize the phase of the complex x and thus but the experimental technique requires additional steps and interpretation may be complicated by excited state absorption and three-photon resonances (282). The presence of an imaginary component of x significantly complicates DFWM measurements by adding... 

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