Optimization of resonant effects in nanostructures via Weierstrass factorization
Optimization of resonant effects in nanostructures via Weierstrass factorization
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DOI：
10.1103/physreva.88.011803
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发表时间：
2013-07-10
影响因子：
2.9
通讯作者：
Bonod, N.
中科院分区：
文献类型：
--
作者：
Grigoriev, V.;Tahri, A.;Bonod, N.
为了优化纳米结构的光学性质，常常需要大量的数值计算。在这里，我们使用魏尔斯特拉斯分解定理来表示散射矩阵的谱奇性。我们证明了散射矩阵的极点和零点的位置完全决定了所有的散射性质，并且纳米结构的散射谱可以在任意频率范围内分解为洛伦兹共振。这项技术被应用于设计具有增强吸收的纳米壳层粒子。
Extensive numerical computations are often required to optimize the optical properties of nanostructures. Here, we use the Weierstrass factorization theorem to express the scattering matrix in terms of spectral singularities. We show that the location of poles and zeros of the scattering matrix fully determines all scattering properties, and that the scattering spectra of nanostructures can be decomposed into Lorentzian resonances over an arbitrary range of frequencies. This technique is applied to design nanoshell particles with enhanced absorption.