ABSTRACT

Proceeding from the scattered field expansion in cylindrical harmonics, we define partial invisibility or partial cloaking as suppression of finitely many lowest-order field harmonics. We show that for benchmark structures (a dielectric rod and a perfectly conducting cylinder of circular cross section covered by a concentric dielectric layer), such multiple suppression can be achieved. For this purpose, we prove the solvability and explicitly determine the solution of the corresponding equation system which provide vanishing of the lowest-order field expansion coefficients and the resulting simultaneous suppression of up to five lowest-order scattered harmonics. We investigate the character and qualitative properties of partial invisibility and partial cloaking by analyzing the scattered field patterns.

摘要

从圆柱谐波中的散射场扩展出发，我们将部分隐身或部分隐身定义为对有限的最低阶场谐波的抑制。我们表明，对于基准结构（介电棒和由同心介电层覆盖的圆形横截面的导电圆柱体），可以实现这种多重抑制。为此，我们证明了可解性，并明确确定了相应方程组的解，该方程组提供了最低阶的场扩展系数的消失以及由此产生的对五个最低阶的散射谐波的同时抑制。我们通过分析散射场模式来研究部分隐形和部分隐身的特征和定性性质。