Magnitude and dispersion of Kleinman forbidden nonlinear optical coefficients

Author

Levine, Barry F.

Author_Institution

Bell Laboratories, Murray Hill, NJ, USA

Volume

Issue

fYear

1973

fDate

9/1/1973 12:00:00 AM

Firstpage

946

Lastpage

954

Abstract

Starting with a perturbation expansion for the Kleinman forbidden nonlinear optical coefficient $d_{ijk^{F}}$ and for Miller\´s $\\Delta _{ijk^{F}}$ , and making several approximations, we arrive at a simple result for the ratio of forbidden to allowed mixing nonlinearities ( $\\omega _{1} + \\omega _{2} = \\omega _{3}$ ), namely $\\Delta _{ijk^{F}}/\\Delta _{ijk^{A}} \\propto (\\omega _{3}^{2} + 2\\omega _{1}\\omega _{2})$ . For second-harmonic generation (SHG) this can be expressed as $\\Delta _{ijk^{F}}/\\Delta _{ijk^{A}} \\simeq (\\omega /\\chi )(\\partial \\chi /\\partial \\omega )$ , which clearly shows the close connection between $\\Delta _{ijk^{F}}$ and the linear dispersion. These expressions are shown to give good agreement with literature experimental values, as well as for our measurements on TeO2for various input frequencies ω1and ω2(i.e., $\\omega _{3} = 1.88, 2.33, 2.82, 3.50$ , and 3.76 eV).

Keywords

Frequency measurement; Nonlinear optics; Optical harmonic generation; Optical losses; Optical mixing; Optical refraction; Optical variables control; Oscillators; Predictive models; Stationary state;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.1973.1077759

Filename

1077759

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1152847