DocumentCode :
1152847
Title :
Magnitude and dispersion of Kleinman forbidden nonlinear optical coefficients
Author :
Levine, Barry F.
Author_Institution :
Bell Laboratories, Murray Hill, NJ, USA
Volume :
9
Issue :
9
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 :
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