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2007 Fiscal Year Final Research Report Summary

High Accuracy Algorithms for Computing Light Propagation in Dielectrics, Dispersive Matierials and Metamaterials

Research Project

Project/Area Number 17560029
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Applied optics/Quantum optical engineering
Research InstitutionUniversity of Tsukuba

Principal Investigator

JAMES Cole B.  University of Tsukuba, Graduate School of Systems and Information Engineering, Associate Professor (20280901)

Co-Investigator(Kenkyū-buntansha) YATAGAI Toyohiko  Utsunomiya University, Center for Optical Research & Education, Professor (90087445)
CAI DongSheng  University of Tsukuba, Graduate School of Systems and Information Engineering, Associate Professor (70202075)
Project Period (FY) 2005 – 2007
KeywordsPhotonic crystal / Maxwell's equation / optical switch / FDTD algorithm / Mie scattering / GNSFD calculation / optical circuit / optical memory
Research Abstract

It is very difficult to compute the optical properties of structures (such as diffraction gratings) made out of metamaterials and dispersive materials. When the structure is neither symmetric nor infinitely periodic, there are no analytic solutions of Maxwell's equations, and it is necessary to use a numerical method. The finite difference time domain algorithm (FDTD) can handle arbitrary structures, but for dispersive materials recursive convolution (RC) must be added to the FDTD algorithm. This not only greatly increases the computational cost, but also the algorithm may become numerically unstable. For designing devices it is often sufficient to do a two-dimensional calculation.
The high computational cost of two-dimensional calculations is also high, but in the TE mode (electric field, E, perpendicular to the incidence plane of an infinite plane wave) the electric and magnetic fields can be computed independently. Even when the electric permittivity varies with position, E is govern … More ed by the wave equation. We have developed a new RC-FDTD algorithm for the wave equation, which greatly reduces the computational cost of the TE mode. When RC is added to the FDTD algorithm, a physical model of the dispersion must be used, but unless the model parameters are carefully chosen the FDTD algorithm may become numerically unstable. We have carefully analyzed the stability of the FDTD algorithm, and have found the conditions that guarantee stability. We have done this for both the TE and TM mode (E perpendicular to the plane of incidence). In addition we have found out how to optimize the dispersion model parameters according to frequency to improve the accuracy of the calculation. Our new algorithm is more accurate than the usual one and is stable. We verified the accuracy of our new algorithm by computing the optical characteristics of large periodic structures 8 effectively infinite) and comparing with analytic solutions.
We used our algorithm to study metallic gratings made of gold and silver in the infrared region. Less

  • Research Products

    (15 results)

All 2008 2007 2006 2005

All Journal Article (7 results) Presentation (8 results)

  • [Journal Article] Nonstandard FDTD method for multiple frequency analysis2008

    • Author(s)
      T. Ohtain, K. Taguchi, T. Kashiwa, Y. Kanai, J. B. Cole
    • Journal Title

      to appear in IEEE Transactions on Magnetics vol.44

      Pages: no.4

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] High Accuracy Simulations of Optical Propagation in Nanophotonic Devices2007

    • Author(s)
      J. B. Cole, S. Banerjee, R. Rungsawang
    • Journal Title

      Micron 38(2007)

      Pages: 109-114

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Color characterization O a Morpho butterfly wing-scale using a high accuracy nonstandard finite-difference time-domain method2007

    • Author(s)
      S. Banerjee, J. B. Cole, T. Yatagai
    • Journal Title

      Micron 38(2007)

      Pages: 97-103

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] High Accuracy Simulations of Optcial Propagation using Nonstandard Finite Difference Models2006

    • Author(s)
      J. B. Cole, S. Banerjee
    • Journal Title

      Denki Gakkai EMT 06

      Pages: 86-115

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] High Accuracy Nonstandard Finite-Difference Time-Domain Algorithms for Computational Electromagnetics: Applications to Optics and Photonics Advances 202005

    • Author(s)
      J. B.Cole
    • Journal Title

      the Applications of Nonstandard Finite Differenc

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Calculation of Diffraction Characteristics of Subwauelength Conducting Gratings Using a High Accuracy Nonstangard Finite-Difference Time-Domain Method2005

    • Author(s)
      S. Banerjee, J. B. Cole, T. Yatagai
    • Journal Title

      Optical Review Vol.12, No.4

      Pages: 274-280

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] High Accuracy Nonstangard Finite- Difference Time-Domain Algorithms for Computational Electromagnetics : Aapplications to Optics and Photonice Advances in the Aapplications of Nonstandard Finite difference Schemes," R. E. Mickens, ed.,(Chat. 4)2005

    • Author(s)
      J. B. Cole
    • Journal Title

      World Scientific(Singapore)

      Pages: 89-109

    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Reformulation of the Nonstangard Yee Algorithm to Reduce Error on Dielectric Boundaries2008

    • Author(s)
      J. B. Cole, S. Banerjee
    • Organizer
      ACES 2008(Association for Applied Computational Electromagnetics)
    • Place of Presentation
      Niagara Falls, Canada
    • Year and Date
      2008-03-30
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Optical characterization of irridescent wings of morpho butterfly using the high accuracy nonstangard FDTD algorithm2008

    • Author(s)
      S. Banerjee, J. B. Cole
    • Organizer
      ACES 2008(Association for Applied Computational Electromagnetics)
    • Place of Presentation
      Niagara Falls, Canada
    • Year and Date
      2008-03-30
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] 2007 International Symposium on Antennas and Propagation2007

    • Author(s)
      J. B. Cole
    • Organizer
      2007 International Symposium on Antennas and Propagation
    • Place of Presentation
      Toki Messe Niigata Convention Center
    • Year and Date
      2007-08-22
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Improved Version of the Second-Order Mur Absorbing Boundary Condition Based on a Nonstangard Finite Difference Model2007

    • Author(s)
      J. B. Cole, S. Banerjee
    • Organizer
      Applied Computational Elecromagnetics(ACES 2007)
    • Place of Presentation
      Verona Italy
    • Year and Date
      2007-03-20
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Reflection spectrum of a finite dielectric layered structure with subwavelength feateures2006

    • Author(s)
      J. B. Cole, D. Zhu, K. Chakrabarti, S. Banerjee
    • Organizer
      5th International Conference on Opticsphotonics Design and Fabrication
    • Place of Presentation
      Nara Japan
    • Year and Date
      2006-12-07
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] A Low Cost Hybrid FDTD Algorithm to Compute Optics Propagation in Dispersive Media2006

    • Author(s)
      J. B. Cole, S. Banerjee, T. Plewe
    • Organizer
      Progress in Electromagnetic Research(PIERS) Symposium
    • Place of Presentation
      Tokyo Japan S4A1
    • Year and Date
      2006-08-03
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] High Accuracy Finite-difference Time-Domain Calculation of Light Propagation in Metamaterials and Effective Metamaterials2005

    • Author(s)
      J. B. Cole, M. I. Haftel, S. Banerjee
    • Organizer
      International Conference on Optics and Electronics
    • Place of Presentation
      Debra Dun, India
    • Year and Date
      2005-12-14
    • Description
      「研究成果報告書概要(欧文)」より
  • [Presentation] Boosting light transmission through interfaces using subwavelength moth-eye stucturing : nonstandard FDTD simulations2005

    • Author(s)
      S. Banerjee, T. Yatagai, J. B. Cole
    • Organizer
      11th Microptics Conference
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2005-11-01
    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2010-02-04  

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