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arXiv 1609.05575physics.optics
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具有Lorentz色散的宽带Huygens超表面的精确时域差分模拟

Exact Finite-Difference Time-Domain Modelling of Broadband Huygens' Metasurfaces with Lorentz Dispersions

Tom J. Smy, Shulabh Gupta

摘要:

一个显式的时域有限差分技术建模的零厚度惠更斯' metasurfaces广义片过渡条件(GSTC)的基础上,提出并证明了使用全波模拟。惠更斯' metasurface建模使用电和磁的表面磁化率,这被发现遵循双洛伦兹色散曲线。为了求解一般宽带激励下的零厚度惠更斯超颖表面问题,将双Lorentz色散剖面与GSTC相结合,得到一组时域一阶微分场方程。识别惠更斯元表面和耦合RLC振荡器电路之间的确切等效性,然后使用基于有限差分公式的标准电路建模技术求解场方程。包括广义折射的几个例子来说明散射场的时间演化从惠更斯的超颖表面下平面波的垂直入射,在谐波稳态和宽带制度。特别是,由于其固有的时域配方,一个显着的优势的方法是它的建模能力随时间变化的超颖表面,这是证明了一个简单的例子,泵的超颖表面导致新的频率产生和波放大。

英文摘要:

An explicit time-domain finite-difference technique for modelling zero-thickness Huygens' metasurfaces based on Generalized Sheet Transition Conditions (GSTCs), is proposed and demonstrated using full-wave simulations. The Huygens' metasurface is modelled using electric and magnetic surface susceptibilities, which are found to follow a double-Lorentz dispersion profile. To solve zero-thickness Huygens' metasurface problems for general broadband excitations, the double-Lorentz dispersion profile is combined with GSTCs, leading to a set of first-order differential fields equations in time-domain. Identifying the exact equivalence between Huygens' metasurfaces and coupled RLC oscillator circuits, the field equations are then subsequently solved using standard circuit modelling techniques based on a finite-difference formulation. Several examples including generalized refraction are shown to illustrate the temporal evolution of scattered fields from the Huygens' metasurface under plane-wave normal incidence, in both harmonic steady-state and broadband regimes. In particular, due to its inherent time-domain formulation, a significant strength of the methodology is its ability to model time-varying metasurfaces, which is demonstrated with a simple example of a pumped metasurface leading to new frequency generation and wave amplification.

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