Journal article
Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities
Inverse problems, v 29(10), pp 104014-18
Oct 2013
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Abstract
We consider the transmission eigenvalue problem for an inhomogeneous medium containing a finite number of diametrically small inhomogeneities of different refractive index. We prove a convergence result for the transmission eigenvalues and eigenvectors corresponding to media with small homogeneities as the diameter of small inhomogeneities goes to zero. In addition we derive rigorously a formula for the perturbations in the real transmission eigenvalues caused by the presence of these small inhomogeneities.
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Details
- Title
- Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities
- Creators
- Fioralba Cakoni - University of DelawareShari Moskow - Drexel University
- Publication Details
- Inverse problems, v 29(10), pp 104014-18
- Publisher
- IOP Publishing
- Number of pages
- 18
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000324871500015
- Scopus ID
- 2-s2.0-84884603784
- Other Identifier
- 991019167621304721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical