TY - JOUR
T1 - Maxwell Exterior Transmission Eigenvalue Problems and Their Applications to Electromagnetic Cloaking
AU - Xiaofei Li, Jingzhi Li & Fang Zeng
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 312
EP - 329
PY - 2019
DA - 2019/03
SN - 9
DO - http://doi.org/10.4208/eajam.280418.190918
UR - https://global-sci.org/intro/article_detail/eajam/13085.html
KW - Exterior transmission eigenvalue problem, Calderon operator, exterior invisibility cloaking.
AB - <p style="text-align: justify;">Maxwell exterior transmission eigenvalue problems arising in scattering problem for a penetrable cavity are considered. Properties of such eigenvalues for a weak
formulation of the transmission problem in unbounded domains are studied and the
Calderon operator for Maxwell&#39;s system is described. In particular, the absence of pure
imaginary eigenvalues and the discreteness of the set of exterior transmission eigenvalues are established. Applications to exterior invisibility cloaking are also considered. Using the Maxwell-Herglotz approximation, we can generate nearly non-scattering waves
corresponding to the exterior eigenvalues of an electromagnetic medium.</p>