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Development of new periodic FMM and its application to photo induced voltage problems

Research Project

Project/Area Number 15H03604
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Computational science
Research InstitutionKyoto University

Principal Investigator

Nishimura Naoshi  京都大学, 情報学研究科, 教授 (90127118)

Co-Investigator(Kenkyū-buntansha) 新納 和樹  京都大学, 情報学研究科, 助教 (10728182)
吉川 仁  京都大学, 情報学研究科, 准教授 (90359836)
Co-Investigator(Renkei-kenkyūsha) Ishihara Teruya  東北大学, 理学研究科, 教授 (60168250)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords計算力学 / 周期多重極法 / Maxwell方程式 / メタマテリアル
Outline of Final Research Achievements

We have investigated new fast methods of solution for integral equations for periodic structures and their applications to metamaterial problems. As new solution methods we have developed a fast eigensolver which can discriminate fictitious eigenvalues. Also, we have developed a fast direct solver for periodic problems using periodic Green's functions. As applications, we have shown that out simulation results in transverse photo-induced voltage problems for nano porous gold agree qualitatively with experiments. Finally, we have developed a topology optimization method for thin metallic metamaterials which takes fabrication constraints into consideration

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (17 results)

All 2018 2017 2016 2015

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 3 results,  Acknowledgement Compliant: 2 results) Presentation (12 results) (of which Int'l Joint Research: 5 results,  Invited: 2 results)

  • [Journal Article] Boundary integral equations for calculating complex eigenvalues of transmission problems2017

    • Author(s)
      R. Misawa, K. Niino and N. Nishimura,
    • Journal Title

      SIAM J. Appl. Math.

      Volume: 77 Issue: 2 Pages: 770-788

    • DOI

      10.1137/16m1087436

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 円筒孔トポロジー導関数と周期多重極法を用いた電磁メタマテリアルの最適設計について2017

    • Author(s)
      福田哲史,西村直志
    • Journal Title

      計算数理工学論文集

      Volume: 17 Pages: 95-100

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 2次元Helmholtz方程式の1周期transmission問題におけるinterpolative decompositionに基づいた高速直接解法の性能比較2017

    • Author(s)
      松本安弘,西村直志
    • Journal Title

      計算数理工学論文集

      Volume: 17 Pages: 101-106

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] An FMM for waveguide problems of 2-D Helmholtz’ equation and its application to eigenvalue problems2016

    • Author(s)
      Ryota Misawa, Kazuki Niino, Naoshi Nishimura
    • Journal Title

      Wave Motion

      Volume: 63 Pages: 1-17

    • DOI

      10.1016/j.wavemoti.2015.12.006

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 周期多重極境界要素法を用いたナノポーラスゴールドの光起電力解析2015

    • Author(s)
      吉見拓也(京都大学情報学研究科), 新納 和樹(京都大学情報学研究科), 西村直志(京都大学情報学研究科), 石原照也(東北大学理学研究科)
    • Journal Title

      計算数理工学論文集

      Volume: 15 Pages: 85-90

    • NAID

      40020679617

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Boundary Integral Equations for Calculating Complex Eigenvalues for Open Domains2018

    • Author(s)
      N.Nishimura
    • Organizer
      SIAM PP18
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimisation of Electromagnetic Metamaterials Using Periodic FMM and Cylindrical-Hole Topological Derivatives2018

    • Author(s)
      N.Nishimura
    • Organizer
      IABEM
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 周期的な領域における波動散乱問題に対する高速直接解法について2017

    • Author(s)
      松本 安弘 , 西村 直志
    • Organizer
      応用数理学会研究部会連合発表会
    • Place of Presentation
      電気通信大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] 電磁メタマテリアルのトポロジー最適化について2017

    • Author(s)
      西村直志
    • Organizer
      日本計算工学会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 平面形状を有する電磁メタマテリアルのトポロジー最適化について2017

    • Author(s)
      西村直志
    • Organizer
      日本機械学会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Performances of the boundary integral equations for transmission problems and the distributions of the complex fictitious eigenvalues2017

    • Author(s)
      N. Nishimura
    • Organizer
      Waves2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Discretisation of electric field integral equation with Hdiv inner products2016

    • Author(s)
      N. Nishimura
    • Organizer
      CoMFoS16
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2016-10-22
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3 次元 Helmholtz 方程式の周期境界値問題における周期多重極法と SSM を用いた固有値 解析2016

    • Author(s)
      山本 貴也,新納 和樹,西村 直志
    • Organizer
      日本機械学会第 29 回計算力学講演会
    • Place of Presentation
      名古屋大学工学部
    • Year and Date
      2016-09-23
    • Related Report
      2016 Annual Research Report
  • [Presentation] Hdiv 内積を用いて離散化された電界型積分方 程式の前処理について2016

    • Author(s)
      新納和樹 , 赤木翔, 西村直志
    • Organizer
      日本機械学会第 29 回計算力学講演会
    • Place of Presentation
      名古屋大学工学部
    • Year and Date
      2016-09-23
    • Related Report
      2016 Annual Research Report
  • [Presentation] 3次元Helmholtz方程式の周期境界値問題におけるSS法と境界要素法を用いた固有値解析2016

    • Author(s)
      山本 貴也,新納 和樹,西村 直志
    • Organizer
      計算工学会
    • Place of Presentation
      新潟市 朱鷺メッセ
    • Year and Date
      2016-06-01
    • Related Report
      2016 Annual Research Report
  • [Presentation] Transmission問題の共鳴周波数計算に対する新しい境界積分方程式の定式化について2016

    • Author(s)
      三澤 亮太,新納 和樹,西村 直志
    • Organizer
      計算工学会
    • Place of Presentation
      新潟市 朱鷺メッセ
    • Year and Date
      2016-06-01
    • Related Report
      2016 Annual Research Report
  • [Presentation] Applications of FMBEM to optical problems related to metamaterials2015

    • Author(s)
      Naoshi Nishimura
    • Organizer
      ICOME2015
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2015-10-11
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited

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Published: 2015-04-16   Modified: 2019-03-29  

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