三维分形微波等离子体光子晶体算法及其电磁特性研究

The universal calculation methods are developed and improved in this project,which are sutitable for three-dimensional fractal plasma photonic crystals. It make the new PWE, FDTD and FDFD method can better calculate the dispersion relation and the energy reponse relationship. The electromagnetic tuning properties of band gap are systematically analysed, and the theories and methods for designing the tunable, high-performance,miniaturized three-dimensional plasma photonic crystals are obtained. From an engineering reality, the influence of the production of random and deformation on the electromagnetic properties are considered. The fractal mathematical theories introduced to the three-dimensional plasma photonic crystals is further explored, which provide a new support to design the new, high-performance microwave photonic crystal devices and fill gaps in the theory. The properties of three-dimensional fractal plasma photonic crystals are comprehensive studied as the direction of magnetic field is arbitrary and the new specific materials (such as non-linear medium, electrical dispersion medium, magnetic dispersion medium) are introduced. Especially,the nonlinear effects of the three-dimensional nonlinear fractal plasma photonic crystal also are studied.The validation experiments of the electromagnetic properties of three-dimensional plasma photonic crystals are carried out according to the actual conditions of Our Group. The several microwave devices are manufactured base on the three-dimensional photonic plasma crystals, which work in the microwave region.

本项目建立和完善了能适合三维分形等离子体光子晶体的普适性计算方法，使得新型的PWE、FDTD和FDFD方法能更好地计算其色散关系和能量响应关系。通过系统地分析等离子体参数和结构参数对禁带的调谐作用，得到三维等离子体光子晶体的电磁特性并获得可调谐、高性能、小型化的光子晶体器件的设计理论和方法。并从工程实际出发，考虑各物理参量的随机和形变效应后对其电磁特性的影响。进一步探讨数学分形理论引入三维等离子体光子晶体后的新特性，为设计新型、高性能的微波光子晶体器件提供支持。全面地研究外加方向磁场为任意和引入新型特异性材料（如非线性、 电色散、磁色散介质）后三维分形等离子体光子晶体的电磁特性。尤其对三维分形非线性等离子体光子晶体的非线性效应进行了研究。并结合课题组的现实条件，开展三维等离子体光子晶体电磁特性的验证性实验。最终设计几款工作在微波波段的三维等离子体光子晶体器件。

本项目建立和完善了能适合三维分形等离子体光子晶体的普适性计算方法, 通过系统地分析等离子体参数和结构参数对禁带的调谐作用，得到三维等离子体光子晶体的电磁特性并获得可调谐、高性能、小型化的光子晶体器件的设计理论和方法。进一步探讨数学分形理论引入等离子体光子晶体后的新特性，为设计新型、高性能的微波光子晶体器件提供支持。全面地研究普适性条件下和引入新型特异性材料后三维分形等离子体光子晶体的电磁特性。并结合课题组的现实条件，开展了三维等离子体光子晶体电磁特性的尝试性实验。