By Topic

Magnitude and dispersion of Kleinman forbidden nonlinear optical coefficients

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Levine, B. ; Bell Laboratories, Murray Hill, NJ, USA

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).

Published in:

Quantum Electronics, IEEE Journal of  (Volume:9 ,  Issue: 9 )