南京大学学报(自然科学版) ›› 2015, Vol. 51 ›› Issue (1): 1–6.

• •    下一篇

基于变换光学的波导弯接头设计

赵弘远,王俊杰,朱广浩*   

  • 出版日期:2015-01-04 发布日期:2015-01-04
  • 作者简介:?(南京大学电子科学与工程学院,南京,210093)

Waveguide bends design based on transformation optics

 Zhao Hongyuan, Wang Junjie, Zhu Guanghao   

  • Online:2015-01-04 Published:2015-01-04
  • About author:?(School of Electronic Engineering, Nanjing University, Nanjing,210093, China)

摘要:  变换光学是一种通过对电磁波的传播进行调控来设计各类新型电磁器件的理论。根据麦克斯韦方程组的在空间变换下的协变性,我们可以根据坐标变换来设计具有特定电磁参数的材料,进而在笛卡尔坐标系中实现对电磁波光波的调控。基于变换光学的方法人们陆续提出了隐身斗篷,隐身地毯以及波束集中器等新型电磁功能器件。基于此背景,根据变换光学理论的基本方法,本文提出并设计了一种可实现无反射传输的90°波导弯接头。我们对波导弯接头材料的电磁参数进行了重新设计,实现了对于入射波的无反射调控。考虑到设计得到的超材料是各向异性的不便于实际实现,我们应用等效介质理论,进一步使用两种相互交替的各向同性介质模拟实现了超材料电磁参数的各向异性特征。通过有限元方法对波导弯接头进行的数值仿真结果表明:在填充了特定材料的弯曲波导接头处,电磁波可以实现无反射传播从而大幅提高了传输效率。


Abstract:  Transformation optics is a newly proposed theory which involves into a powerful tool set for the design of various novel electromagnetic devices that are difficult to conceive using regular methods. By taking advantage of the invariance of Maxwell Equations upon coordinate transformation, transformation optics yields a precise prescription of spatially-varying and anisotropic optical constant to guide wave propagation at our wills. It is well known that traditional waveguide bends inherently suffer from reflections and mode distortions since a wave has to travel along paths of various lengths counting on the radial or cornered location inside the bends. To eliminate such vast reduction of transmission, we utilize the method of transformation optics to design a metamaterial placed in a 90 degree waveguide bend which can completely suppress the reflections and modes perturbations to support perfect transmission. The constitutive parameters of the associated metamaterial in the waveguide bend are analytically obtained, and are validated available using numerical simulations based on the finite element method. We further propose a stacked bilayer structure to substitute unprocurable anisotropic material inside the waveguide bend on the basis of Effective Medium Theory. The bilayer structure are composed of both isotropic materials which are more prone to prepare in laboratory fabrication. The numerical simulated results completely validate the correctness of our theoretical analysis and feasibility of practical application.

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