各向同性的麦克斯韦方程的内部传输问题及反射参数的估计

Abstract

Abstract:

We consider the scattering of time-harmonic electromagnetic waves by a bounded, penetrable, inhomogeneous,
isotropic obstacle covered with a thin layer of high conductivity. Such penetrable obstacle problems lead to the so called interior transmission problem. By using a variational argument, the well-posedness of the corresponding interior transmission problem is established, which extends the results of [1] to the conductive boundary value problem case. Under the assumption that the shape and location of the scatter has been determined, we proceed with some estimates on the index of refraction based on the use of the transmission eigenvalues, the radius of the scatter and the first

Maxwell eigenvalue of the curlcurl operator corresponding to the medium, which extends the results in [2].

Key words: Well-posedness, Maxwell equations, Interior transmission problem, Transmission eigenvalues, Index of refraction

CLC Number:

35P25

QU Feng-Long, LI Xi-Liang. The Interior Transmission Problem for Isotropic Maxwell Equations and Some Estimates on the Index of Refraction[J].Acta mathematica scientia,Series A, 2013, 33(6): 1178-1188.

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The Interior Transmission Problem for Isotropic Maxwell Equations and Some Estimates on the Index of Refraction

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