Colloquium / Seminars
Topic:On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method
Speaker:Prof. Tiexiang Li
( Department of Computational Mathematics, Southeast university)Date time:May 23, 2019 13:00 - 13:50
Venue:SA307
Abstract:
In this work, we consider the two-dimensional Maxwell’s equations with the TM mode in pseudo-chiral media. The system can be reduced to the acoustic equation with a negative index of refraction. We first study the transmission eigenvalue problem (TEP) for this equation. We present a practical numerical method to reconstruct the support of the inhomogeneity by the near-field measurements, i.e., Cauchy data. Numerical results show that our method is able to reconstruct the support reliably.Download:poster 05.21.2019 1300.pdf
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