Theory of Electromagnetic Time-Reversal Mirrors
Theory of Electromagnetic Time-Reversal Mirrors
复制标题
DOI：
10.1109/tap.2010.2052567
复制
发表时间：
2010-10-01
影响因子：
5.7
通讯作者：
Fink, Mathias
中科院分区：
文献类型：
--
作者：
de Rosny, Julien;Lerosey, Geoffroy;Fink, Mathias
本文发展了电磁波单色时间反转镜（TRM）或等效相位共轭镜的理论。我们从麦克斯韦方程组的基本时间对称性出发。从这种对称性，推导出一个类似于洛仑兹互易定理的微分表达式。TRM上的辐射条件用6维绿色函数表示。为了预测天线阵列的时间反演聚焦，提出了一种包含阻抗矩阵的形式化方法。我们表明，天线耦合可以显着修改的焦点。特别是，我们观察到，在某些情况下，亚波长聚焦在二维阵列上可能会出现。
The theory of monochromatic time-reversal mirrors (TRM) or equivalently phase conjugate mirrors is developed for electromagnetic waves. We start from the fundamental time-symmetry of the Maxwell's equations. From this symmetry, a differential expression similar to the Lorentz reciprocity theorem is deduced. The radiating conditions on TRM are expressed in terms of 6-dimension Green's functions. To predict the time reversal focusing on antenna arrays, a formalism that involves impedance matrix is developed. We show that antenna coupling can dramatically modify the focal spot. Especially, we observe, that in some circumstances, sub-wavelength focusing on a bi-dimensional array may arise.