光光的散射截面的简并性
Degeneracy of cross sections in scattering of light
摘要：
我们从理论和数值上证明了在线性极化的电磁平面波垂直入射到圆柱形被动散射体时，对于任意的散射系统，无论内部结构、材料参数和尺寸如何，单一的能量图都可以综合吸收、散射和消光截面。对于一个共振阶数确定的系统，沿着能量图的相应边界，不仅散射系数的大小需要相同，而且其相位也需要相同，对应于超吸收或超散射。对于共振阶数较大的系统，能量图的区域可以完全覆盖共振阶数较低的系统。因此，具有不同共振阶数的系统可以提供相同的能量特性，反映了光散射中的能量简并性质。这种简并性可以放松功能设计中的更多自由度，例如能量收集、成像、感测设备。我们展示了基于真实材料的各种系统来支持这一发现。
英文摘要：
We theoretically and numerically prove that under an electromagnetic plane wave with linear polarization incident normally to cylindrical passive scatterers, a single energy diagram can integrate absorption, scattering, and extinction cross sections for arbitrary scattering systems, irrespective of internal configuration, material parameters, and its sizes. For a system with definite resonant orders, along the corresponding boundary of the energy diagram, not only the magnitudes of scattering coefficients, but also its phases, are required the same, corresponding to superabsorption or superscattering. For systems composed by larger resonant orders, the domain of the energy diagram can completely cover systems with lower one. Hence, systems with different resonant orders can provide the same energy characteristics, reflecting the energy degenerate property in light scattering. This degeneracy may relax more degrees of freedom in functional designs, such as energy harvesting, imaging, sensing devices. We demonstrate various systems based on real materials to support this finding.
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