Development of Design and Control Photonic Fractals and Application to Electromagnetic Devices

建立了CAD/CAM工艺流程。门格尔海绵（MS）光子分形（PHF）和光子晶体（PHC）与陶瓷，金属和树脂。发展了电磁波传播的测量和仿真方法，推导了预测局域频率（LF）的经验方程。通过时域有限差分法仿真计算了低频场、电磁场分布和品质因子。利用群论导出了透光率、反射率和90度散射的选择规律。90度谱可以确定低频和品质因子。LCAO近似可以分析特征模频率的标度现象。实验结果和时域有限差分建模证实，电磁波共振集中在质谱结构的前部。电介质和空气通道的自相似排列可以引起多重共振和局域化。在陶瓷和金属的微MSs中观察到太赫兹定位。二级金属MSs中的低频与第二个方形信道的截止频率一致。在PHC中插入氧化铝质谱后，在带隙中出现的定位模式的质量因子提高了30%。在太赫兹波段的天线、滤波器和传感器中，MSs的周期性排列证明了其潜在的应用前景。一维康托条形phf的太赫兹局域化出现在整个结构的带隙中。二维H - phf中也存在局部化现象。在不增加结构尺寸的情况下，可以通过增加级数来控制谐振频率。博士国际研讨会于2008年举办，邀请了4位海外合作者。我们提出了一些有趣的理论方法来解释局部化机制，并深入了解了phf在科学、工程和应用方面的巨大潜力。我们的研究结果发表在40篇论文和82次演讲或讲座中，并在光子分形论坛上与8家成员公司合作。少

We established CAD/CAM process for .Menger sponge (MS) photonic fractals (PHF) and photonic crystals (PHC) with ceramics, metals and resins. Measurement and simulation methods for electromagnetic wave propagations were developed and an empirical equation to predict the localization frequency (LF) was derived. The LF, EM field distribution and quality factor were calculated by FDTD simulation. The selection rule in transmittance, reflectance and 90 degree scattering were derived using group theory. The 90 degree spectrum can determine the LF and quality factor. The LCAO approximation can analyze the scaling phenomena of eigenmode frequencies. The experimental results and FDTD modeling confirmed that the electromagnetic wave resonance is concentrated in the front part of MS structure. It is thought that the self-similar arrangement of dielectrics and air channels can induce multiple resonances and localizations. Terahertz localizations were observed in micro MSs with ceramics and metals. … More The LF in stage 2 metal MSs, agreed with the cut-off frequencies at the second square channels. The localization modes appeared in band gap by inserting an alumina MS in PHC showed 30% increase of quality factor. Potential applications to antennas, filters and sensors in THz were demonstrated by periodical arrangement of MSs. THz localization in 1D Cantor bar PHFs appeared in band gap which extended in the whole structure. The localization in 2D H PHFs existed as well. The resonant frequencies can be controlled by increasing the stage number without increasing the structure dimensions. The international workshop on PHFs was held by inviting 4 collaborators from overseas in 2008. Interesting theoretical approaches accounting for the localization mechanism were proposed and we got deeper insight about the large potential of PHFs in science, engineering and applications. Our study results were provided in 40 papers and 82 presentations or lectures and in the Photonic Fractals Forum with 8 member companies. Less