基于保角变换理论的光子器件特性研究

Metamaterials have promoted the development of research of photonic devices, due to their strong abilities to manipulate the electromagnetic waves. Usually, metamaterials are complicated and hard to prepare. The photonic devices based on metamaterials are also difficult to be integrated and miniaturized. Recently, researchers have efficiently manipulated photons by using graded refractive index thin waveguides (GTWs) and curved surface thin waveguides (CTWs), which brings new opportunity for photonic devices. Comparing to metamaterials, GTWs and CTWs are more feasible to fabricate, meanwhile, they have wider working frequencies. In this project, we will first study the propagation of geometrical optics and the evolution of wave optics for CTWs. Then based on the conformal transformation theory, we will explore the equivalence between GTWs and CTWs. Finally, we will design and fabricate new photonic devices based on GTWs and CTWs. In this project, we investigate the photonic devices based on the conformal transformation and explore the new method to control photons with spatial curvature, which has theoretical significance. Meanwhile, we carry out experimental research, which might provide a new strategy for the integration and miniaturization of photonics devices. Therefore, our project has potential application.

超构材料对电磁波的强大调控能力极大促进了光子器件的发展。通常，超构材料是复杂且较难制备的，而基于超构材料的光子器件也面临难集成和难微型化等问题。近期，研究人员利用梯度折射率薄膜波导（简称GTWs）和曲面薄膜波导（简称CTWs）在二维空间对光子实现了有效的操控，为光子器件的发展带来了新的机遇。相比于超构材料，GTWs和CTWs容易制备且工作频带较宽。本项目计划首先研究CTWs中的几何光学传输和波动光学演化的特点；然后基于保角变换理论来论证GTWs和CTWs的等价性质；最后设计和制备由GTWs和CTWs构成的新型光子器件。本项目将保角变换理论用于光子器件的研究，探索基于空间曲率对光子进行操控的新方法，具有理论研究意义。与此同时，我们积极开展实验研究，为光子器件的集成化和微型化提供了新的思路，具有潜在的应用价值。

基于共振机制的超构材料对电磁波有着强大调控能力，这极大促进的促进了光子器件。但是，传统超构材料的结构是复杂且较难制备的，这使得基于超构材料的光子器件面临难集成和难微型化等问题。近期，人们利用梯度折射率薄膜波导（简称GTWs）和曲面薄膜波导（简称CTWs）在二维空间对光子实现了有效操控，为光子器件的发展带来了新的机遇。相比于传统超构材料，GTWs和CTWs容易制备且工作频带较宽。本项目首先研究了CTWs中的几何光学传输和波动光学演化的特点；然后基于保角变换理论来论证GTWs和CTWs的等价性质，并且利用数值算法演示了该等价性；最后设计和制备由CTWs构成的光学偏转器和聚焦器。本项目将保角变换理论用于光子器件的研究，探索基于空间曲率对光子进行操控的新方法，具有理论研究意义。与此同时，我们积极开展实验研究，为光子器件的集成化和微型化提供了新的思路，具有潜在的应用价值。

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