23
Views
5
CrossRef citations to date
0
Altmetric
Articles

Small Nonlinear Particles in Waveguides and Resonators

, &
Pages 1723-1741 | Published online: 03 Apr 2012
 

Abstract

A theoretical analysis of wave fields in systems containing small arbitrary shaped nonlinear particles is presented. The analysis is based on the local perturbations method (LPM). Approximate expressions, valid when the particles are small compared to the wavelength of radiation in surrounding media, are obtained for the scattered fields in the free space and different types of metallic waveguides. The expressions show that, while in infinite media and planer waveguides the fields have well pronounced maxima (resonances) at some frequencies, in a rectangular tube the maxima are smeared out and the frequency dependence of the scattered field is rather smooth. The resonance frequencies are calculated and are shown to be dependent not only on the internal parameters of the system, but on the intensity of the incident field as well. Shifts of the eigen frequencies of a resonator caused by the presence of nonlinear scatterers are also calculated.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.