A linearised inverse conductivity problem for the Maxwell system at a high frequency
MetadataShow full item record
Isakov, V., Lu, S., & Xu, B. (2022, January 24). A linearised inverse conductivity problem for the Maxwell system at a high frequency. Journal of Computational Physics. Retrieved April 8, 2022, from https://doi.org/10.1016/j.jcp.2022.111003
We consider a linearised inverse conductivity problem for electromagnetic waves in a three dimensional bounded domain at a high time-harmonic frequency. Increasing stability bounds for the conductivity coefficient in the full Maxwell system and in a simplified transverse electric mode are derived. These bounds contain a Lipschitz term with a factor growing polynomially in terms of the frequency, a H¨older term, and a logarithmic term which decays with respect to the frequency as a power. To validate this increasing stability numerically, we propose a reconstruction algorithm aiming at the recovery of sufficiently many Fourier modes of the conductivity. A numerical evidence sheds light on the influence of the growing frequency and confirms the improved resolution at higher frequencies.
Preprint version available. Also available from the publisher at DOI (may not be free).