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

光子分形设计与控制的发展及其在电磁器件中的应用

基本信息

批准号：
17106010
负责人：
MIYAMOTO Yoshinari
金额：
$ 70.39万
依托单位：
Osaka University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (S)
财政年份：
2005
资助国家：
日本
起止时间：
2005 至 2007
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17106010/
关键词：
Photonic fractal Menger Sponge Localization Terahertz H-type fractal Ceramics Resonance Stereolithography 構造・機能材

项目摘要

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

我们建立了门格海绵 (MS) 光子分形 (PHF) 和光子晶体 (PHC) 与陶瓷、金属和树脂的 CAD/CAM 流程，开发了电磁波传播的测量和模拟方法，并开发了预测定位频率的经验方程。通过FDTD模拟计算出LF、EM场分布和品质因数，并利用群导出了透射率、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缩放现象，实验结果和FDTD模型证实电磁波谐振集中在MS结构的前部。认为电介质和空气通道的自相似排列可以在陶瓷和金属的微型 MS 中观察到多重共振和局域化。 2 个金属 MS，与第二个方形通道的截止频率一致，通过在 PHC 中插入氧化铝 MS 出现在带隙中，表明品质因数增加了 30%，在太赫兹的天线、滤波器和传感器中的潜在应用。通过MS的周期性排列，一维坎托棒PHF中的太赫兹局域化出现在带隙中，并且二维H PHF中的局域化也存在。 2008年，邀请了4位海外合作者举办了PHF国际研讨会，提出了解释本地化机制的有趣理论方法，我们对PHF的巨大潜力有了更深入的了解。我们的研究成果在 40 篇论文和 82 场演讲或讲座中以及由 8 家会员公司组成的光子分形论坛中提供。