Second-order Material Characterization

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β, the first nonlinear polarizability depends on molecular structure, environment and measurement frequency. There are several tools that help us characterize the materials. Hyper Rayleigh Scattering (HRS) Hyper Rayleigh Scattering (aka Harmonic Light Scattering) is one method for measuring β.

The Hyper Rayleigh Scattering - Test best schematic

An incident laser generates a second harmonic signal, specifically the frequency double signal. This can be related to the beta of the sample using this formula:

<math>\frac {I_{sample}} {I_{solvent}} = \frac {N_{sample} \langle \beta^2 _{sample} \rangle + N_{solvent} \langle \beta^2_{solvent}\rangle} {N_{solvent} \langle \beta^2_{solvent}\rangle}\,\!</math>
HRS spectrum for 1.5 μm TCP1 in CHCl3

See Firestone 2004 [1].


See also Density Functional Theory



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  1. K. A. Firestone, P. Reid, R. Lawson, S. H. Jang, and L. R. Dalton, “Advances in Organic Electro-Optic Materials and Processing,” Inorg. Chem. Acta, 357, 3957-66 (2004)