论文标题
从无吸收电磁结构中散射的基本界限
Fundamental bounds for scattering from absorptionless electromagnetic structures
论文作者
论文摘要
设计电磁结构的散射特性的能力在光学科学和工程中具有基本兴趣。尽管将局部优化方法应用于电磁设备设计方面取得了巨大的成功，但尚不清楚生成设计的性能是否接近最佳设计。对于无吸收电磁设备而言，这个问题仍然没有解决，因为没有物质损失使得很难在其散射特性上提供可证明的界限。我们通过在散射场的凸功能的性能指标上提供非平凡的下限来解决此问题。我们的边界过程依赖于对设备内部电场的限制进行限制，该限制可以证明是针对具有较小足迹或低介电约束的设备构造的。我们通过研究介电和金属颗粒的散射横截面，在没有物质损失的情况下来说明我们的边界程序。
The ability to design the scattering properties of electromagnetic structures is of fundamental interest in optical science and engineering. While there has been great practical success applying local optimization methods to electromagnetic device design, it is unclear whether the performance of resulting designs is close to that of the best possible design. This question remains unsettled for absorptionless electromagnetic devices since the absence of material loss makes it difficult to provide provable bounds on their scattering properties. We resolve this problem by providing non-trivial lower bounds on performance metrics that are convex functions of the scattered fields. Our bounding procedure relies on accounting for a constraint on the electric fields inside the device, which can be provably constructed for devices with small footprints or low dielectric constrast. We illustrate our bounding procedure by studying limits on the scattering cross-sections of dielectric and metallic particles in the absence of material losses.
