Design of metamaterials based on equivalent circuit model with retarded electromagnetic coupling

• Project/Area Number: 15K06063
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Communication/Network engineering
• Research Institution: Kyoto University
• Principal Investigator: Hisakado Takashi 京都大学, 工学研究科, 准教授 (80301240)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: メタマテリアル / 遅延相互作用 / 等価回路モデル / 分散特性 / ライトライン / 単導体線路 / 伝搬遅延 / 等価回路 / 回路方程式 / 放射の反作用 / 遅延結合 / 近傍界 / 遠方界 / 放射抵抗 / 結合共振器

Outline of Final Research Achievements

We propose equivalent circuit models with retarded electromagnetic couplings for complex metallic structures. We deal with wired metallic spheres and theoretically derived the equivalent circuit models from Maxwell's equation. We prove that the retardation in the circuit characterizes the radiation loss. The retardation in the mutual couplings of the meta-atoms connects the resonant frequencies of each mode to the radiation loss. The dispersion characteristics of the periodic structure have singular points on the light-line and the loss at the right-hand side of the light-line is eliminated.
In order to model the single thin wire structures without return path, we propose the wave equation of linear charge density and current and represent the radiation loss by the feedback of the electric field generated by the terminals. We confirmed that the radiation loss by the proposed model agrees with the results by the method of moment.

Research Products

• [Journal Article] Analysis of Dispersion Splitting on Light Line by Characteristic Roots of Retarded Circuit Equation (2017)
  • Author(s): R.Nakata, T. Hisakado, T. Matsushima and O. Wada,
  • Journal Title: Proc. PIERS 2017 Volume: 1 Pages: 19-22
  • DOI: 10.1109/piers-fall.2017.8293540
  • Peer Reviewed
• [Journal Article] Equivalent-Circuit Model for Meta-Atoms Consisting of Wired Metallic Spheres (2017)
  • Author(s): T. Hisakado, K. Yoshida, T. Matsushima, O. Wada
  • Journal Title: IEICE Transactions on Electronics Volume: E100.C Issue: 3 Pages: 305-312
  • DOI: 10.1587/transele.E100.C.305
  • NAID: 130005397853
  • ISSN: 0916-8524, 1745-1353
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] Continuity Condition on Single Conductor Transmission Line Model for Thin Wire Structures (2017)
  • Author(s): D. Tashiro, T. Hisakado, T. Matsushima, O. Wada
  • Organizer: IEICE EMCJ
  • Int'l Joint Research
• [Presentation] 単導体線路モデルにおける放射損の定式化 (2017)
  • Author(s): 久門尚史、木村琢也、松嶋徹、和田修己
  • Organizer: IEICE EMT
• [Presentation] 遅延電磁結合を含む平面メタ原子の回路モデルと検証実験 (2016)
  • Author(s): 仲田涼馬 久門尚史 松嶋徹 和田修己
  • Organizer: 2016 年電子情報通信学会ソサイエティ大会
  • Place of Presentation: 北海道大学（北海道、札幌市）
  • Year and Date: 2016-09-20
• [Presentation] Time Domain Model for Reaction of Radiation on Thin Cut Wires (2016)
  • Author(s): T. Kimura, T. Hisakado, T. Matsushima and O. Wada
  • Organizer: Metamaterials 2016
  • Place of Presentation: Crete(Greece)
  • Year and Date: 2016-09-17
  • Int'l Joint Research
• [Presentation] 遅延を考慮した電磁結合の集中定数回路モデルによる表現 (2016)
  • Author(s): 大石克哉, 久門尚史, 松嶋 徹, 和田修己
  • Organizer: 電子情報通信学会総合大会
  • Place of Presentation: 福岡
  • Year and Date: 2016-03-15
• [Presentation] 単導体線路における外部励振の理論的表現 (2016)
  • Author(s): 木村琢也, 久門尚史, 松嶋 徹, 和田修己
  • Organizer: 電子情報通信学会総合大会
  • Place of Presentation: 福岡
  • Year and Date: 2016-03-15
• [Presentation] 外部励振および放射を含む単導体線路の定式化 (2016)
  • Author(s): 久門尚史, 木村琢也、松嶋 徹, 和田修己
  • Organizer: 電子情報通信学会EMCJ研究会
  • Place of Presentation: 金沢大学サテライトプラザ（石川県、金沢市）
• [Presentation] 単導体線路の端点で生成される電界を用いた自己誘導電流による放射損失の表現 (2015)
  • Author(s): 木村琢也, 久門尚史, 松嶋 徹, 和田修己
  • Organizer: 電子情報通信学会ＭＷ研究会
  • Place of Presentation: 仙台
  • Year and Date: 2015-10-22
• [Presentation] 遅延を考慮した集中定数回路における放射の表現 (2015)
  • Author(s): 大石克哉, 久門尚史, 松嶋 徹, 和田修己
  • Organizer: 電子情報通信学会エレクトロニクスソサイエティ大会
  • Place of Presentation: 仙台
  • Year and Date: 2015-09-08