On the interior transmission eigenvalue problem
by Fioralba Cakoni, Andreas Kirsch
International Journal of Computing Science and Mathematics (IJCSM), Vol. 3, No. 1/2, 2010

Abstract: We consider the transmission eigenvalue problem corresponding to the scattering problem for anisotropic media for both the scalar Helmholtz equation and Maxwell's equations in the case when the contrast in the scattering media occurs in two independent functions. We prove the existence of an infinite discrete set of transmission eigenvalues provided that the two contrasts are of opposite signs. In this case we provide bounds for the first transmission eigenvalue in terms of the ratio of refractive indices. In the case of the same sign contrasts for the scalar case we show the existence of a finite number of transmission eigenvalues under restrictive assumptions on the strength of the scattering media.

Online publication date: Sun, 04-Jul-2010

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Computing Science and Mathematics (IJCSM):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com