江西科学Issue(1)：1-4,9,5.DOI:10.13990/j.issn1001-3679.2016.01.001
振荡介质Maxwell方程透射特征值的下界估计
The Lower Bound for Transmission Eigenvalues of Maxwell′s Equations with Oscillatory Coefficient
摘要
Abstract
The interior transmission eigenvalue problems ( ITEP ) are of fundamental importance in inverse scattering problems for inhomogeneous medium. Since the corresponding differential operator is neither elliptic nor self-adjoint,such kinds of problems have been concerned widely. This paper concerns with the ITEP for Maxwell's equations of oscillatory refraction index with small period. The physical backgrounds for such kinds of nonstandard problems are clarified,showing that the positive eigenvalues are in fact the wave frequencies of incident plan waves for which the scattered waves vanish. Then we give the lower bounds for the transmission eigenvalues of Maxwell′s equations with oscillatory coefficient.关键词
透射特征值/Maxwell方程/Riesz表示定理/下界估计Key words
transmission eigenvalue problems/maxwell′s equations/riesz representation theorem/lower bounds分类
数理科学引用本文复制引用
李同兴..振荡介质Maxwell方程透射特征值的下界估计[J].江西科学,2016,(1):1-4,9,5.基金项目
江苏省普通高校研究生科研创新计划资助项目（KYLX-0082)。 （）
