论文标题
散射系统中能量沉积特征班吉尔的总和规则
Sum rules for energy deposition eigenchannels in scattering systems
论文作者
论文摘要
在随机散发系统中，沉积矩阵将入射波前映射到目标体积的内部场分布。相应的特征渠道已用于增强传递到目标的波能。在这里，我们找到了任何系统几何形状中沉积矩阵的特征值和特征型的总和规则：包括两个和三维散射系统，以及狭窄的波导和宽板。我们在系统内部的特征强度分布以及相应的特征值上得出了许多约束。我们的结果是一般的，并且适用于随机散射强度以及不同类型的波浪的随机系统，包括电磁波，声波和物质波。
In a random-scattering system, the deposition matrix maps the incident wavefront to the internal field distribution across a target volume. The corresponding eigenchannels have been used to enhance the wave energy delivered to the target. Here we find the sum rules for the eigenvalues and eigenchannels of the deposition matrix in any system geometry: including two and three-dimensional scattering systems, as well as narrow waveguides and wide slabs. We derive a number of constraints on the eigenchannel intensity distributions inside the system as well as the corresponding eigenvalues. Our results are general and applicable to random systems of arbitrary scattering strength as well as different types of waves including electromagnetic waves, acoustic waves, and matter waves.
