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

建立了用陶瓷、金属和树脂制作门格尔海绵（MS）光子分形（PHF）和光子晶体（PHC）的CAD/CAM过程。发展了电磁波传播的测量和模拟方法，推导了预测局域化频率（LF）的经验公式。通过FDTD仿真计算了低频、电磁场分布和品质因子。利用群论导出了透射率、反射率和90度散射的选择规则。90度频谱可以确定LF和品质因数。LCAO近似可以分析本征模频率的标度现象。实验结果和时域有限差分法（FDTD）模拟证实了电磁波谐振集中在MS结构的前部。据认为，自相似的安排，空气和空气通道可以诱导多重共振和本地化。在陶瓷和金属的微MS中观察到太赫兹定位。 关于我们 第2阶段金属MS中的LF与第二方形通道处的截止频率一致。通过在PHC中插入氧化铝MS，在带隙中出现了局域化模式，品质因子提高了30%。MS的周期性排列展示了其在太赫兹天线、滤波器和传感器等方面的潜在应用。一维康托棒PHFs的THz局域化主要发生在禁带中，并扩展到整个结构。二维H型PHFs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。2008年，邀请了4位海外合作者举办了关于PHFs的国际研讨会。提出了解释这种局域化机制的有趣的理论方法，并对PHFs在科学、工程和应用中的巨大潜力有了更深入的了解。我们的研究结果在40篇论文和82个演示文稿或讲座中提供，并在光子分形论坛与8个成员公司。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