RP Photonics logo
RP Photonics
Encyclopedia
Technical consulting services on lasers, nonlinear optics, fiber optics etc.
Profit from the knowledge and experience of a top expert!
Powerful simulation and design software.
Make computer models in order to get a comprehensive understanding of your devices!
Success comes from understanding – be it in science or in industrial development.
The famous Encyclopedia of Laser Physics and Technology – available online for free!
The ideal place for finding suppliers for many photonics products.
Advertisers: Make sure to have your products displayed here!
… combined with a great Buyer's Guide!
VLib part of the
Virtual
Library

Parametric Nonlinearities

<<<  |  >>>  |  Feedback

Buyer's Guide

Use the RP Photonics Buyer's Guide to find suppliers for photonics products! You will hardly find a more convenient resource.

Definition: instantaneous optical nonlinearities based on the χ(2) or χ(3) nonlinear tensor of a transparent medium

German: parametrische Nichtlinearitäten

Category: physical foundations

How to cite the article; suggest additional literature

Parametric nonlinearities are optical nonlinearities with an instantaneous response based on the χ(2) or χ(3) nonlinearity of a medium. They give rise to effects such as frequency doubling, sum and difference frequency generation, parametric amplification and oscillation, and four-wave mixing.

Usually, phase matching is a condition for achieving a high efficiency in such processes. This occurs only in a limited bandwidth. However, by manipulation of the parameters which influence the phase matching, it is possible to shift the wavelength range where the nonlinear interaction is strong.

Parametric processes are usually polarization-dependent: the nonlinearity itself is polarization-dependent, and at least in cases with a χ(2) nonlinearity also the phase matching, because such media exhibit birefringence.

Bibliography

[1]G. D. Boyd and D. A. Kleinman, “Parametric interaction of focused Gaussian light beams”, J. Appl. Phys. 39 (8), 3597 (1968)
[2]S. Radic, “Parametric amplification and processing in optical fibers”, Laser & Photon. Rev. 2 (6), 498 (2008)

(Suggest additional literature!)

See also: nonlinearities, nonlinear polarization, nonlinear crystal materials, phase matching, group velocity mismatch

How do you rate this article?

Your general impression: don't know poor satisfactory good excellent
Technical quality: don't know poor satisfactory good excellent
Usefulness: don't know poor satisfactory good excellent
Readability: don't know poor satisfactory good excellent
Comments:

Found any errors? Suggestions for improvements? Do you know a better web page on this topic?

Spam protection: (enter the value of 5 + 8 in this field!)

If you want a response, you may leave your e-mail address in the comments field, or directly send an e-mail.

If you like our website, you may also want to get our newsletters!

If you like this article, share it with your friends and colleagues, e.g. via social media:

arrow

Field Guide on Fiber Optics

A quick introduction to fiber optics:

FG Fiber Optics

Note that we have also published a free tutorial on fiber optics!

– Show all banners –

– Get your own banner! –