• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Modeling of the origin of photonic bands in the arrayed dielectric and metallic spheres

Research Project

Project/Area Number 14540293
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅰ(光物性・半導体・誘電体)
Research InstitutionChiba University

Principal Investigator

OHTAKA Kazuo  Chiba University, Center for Frontier Science, Professor, 先端科学教育センター, 教授 (40010946)

Co-Investigator(Kenkyū-buntansha) MIYAZAKI Hiroshi  Tohoku University, Graduate School of Engineering, Department of Applied Physics, Associate Professor, 大学院・工学研究科, 助教授 (00134007)
INOUE Jun-ichi  Chiba University, Center for Frontier Science, Assistant Professors, 先端科学教育センター, 助手 (90323427)
Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2003: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2002: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsphotonic crystal / leaky photonic band / omni-directional band gap / density of states of photons / Smith-Purcell radiation / Anderson model / Mie resonance / Mie mode / 寿命
Research Abstract

1.We have derived the model Hamiltonian to be called the photonic Anderson model, in which the coupling constant between a localized photonic state and an outer plane-wave state is obtained. The model Hamiltonian leads to an optical response of a spherical dielectric system which agrees quite well with the numerical calculation.
2.We derived the formula of the density of states of photons of photonic crystals with a flat surface, which takes account of the finite lifetime of photonic states arising from the leakage of the photonic energy to the exterior region. By using the formula, the calculated photon emission spectrum from an electron traveling near the surface of photonic crystal is analyzed and is shown to be due to the excitation of leaky photonic bands in it.
3.The system called uniformly distributed photonic scatterers is proposed, in which a group of dielectric cylinders are distributed randomly with a sole restriction that the mutual spacing of cylinders is not smaller than a certain minimal value. It is shown that this system has a clear-cut and robust frequency region where the density of states of photons vanishes almost completely. The device application making use of this peculiar system is proposed.

Report

(3 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • Research Products

    (66 results)

All Other

All Publications (66 results)

  • [Publications] S.Yamaguti, J.Inoue, K.Ohtaka: "Role of photonic crystals used in laser acceleration and in free electron laser"Phys.Rev.. B66. 085209 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Yamaguti, J.Inoue, O.Haeberle, K.Ohtaka: "Photonic crystals versus diffraction gratings in Smith-Purcell radiation"Phys.Rev.. B66. 195202 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Amemiya, K.Ohtaka: "Calculation of Transmittance of Light for an Array of Dielectric Rods Using Vector Cylindrical Waves : Complex Unit Cells"J.Phys.Soc.Jpn. 72. 1244 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] J.Inoue, K.Ohtaka: "Photonic Anderson Model : Hybridization between Photon Virtual Bound Statein Dielectrics and Free States"J.Phys.Soc.Jpn.. 72. 3024 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] J-P.Vigneron, V.Lousse, A.A.Lucas, K.Ohtaka: "Amplification of vacuum-ultraviolet radiation by reflection from planar and corrugated aluminum films containing helium excimers"J.Opt.Soc.Am.. B20. 2297

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Yamamoto, H.Miyazaki, K.Obtaka et al.: "Observation of Millimeter-Wave Radiation Generated by the Interaction between an Electron Beam and a Photonic Crystal"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Ochiai, K.Ohtaka: "Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals I : formalism and surface plasmon polariton"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Ochiai, K.Ohtaka: "Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals II : photonic band effect"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Yamaguti, T.Ochiai, J.Inoue, K.Ohtaka: "Means of sending a photon to an optically inactive photonic-band mode"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Ohtaka, S.Inoue, S.Yamaguti: "Derivation of the density of states of leaky photonic bands"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Hase, M.Egashira, Hiroshi Miyazaki et al.: "Optical transmission spectra of two-dimensional quasiperiodic photonic crystals based on Penrose-tiling and octagonal-tiling systems."Journal of Alloys and Compounds. 342. 455 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Hase, H.Miyazaki, Mitsuru Egashira et al.: "Isotropic photonic band gap and anisotropic structures in transmission spectra of two-dimensional fivefold and eightfold symmetric quasi-periodic photonic crystals"Phys.Rev.. B66. 214205 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Anomalous scattering from dielectric bispheres in the specular direction."Optics Letters. 27. 1208 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Analysis of specular resonance in dielectric bispheres using rigorous and geometrical-optics theories"J.Opt.Soc.Am.. A20. 1771 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Enhanced light diffraction from a double-layer microsphere lattices"Appl.Phys.Lett.. 83. 3662 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H Miyazaki, M.Hase, H.T.Miyazaki et al.: "Photonic material for designing arbitrarily shaped waveguides in two dimension"Phys.Rev.. B67. 235109 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, Y.Jimba et al.: "Light diffraction from a bilayer lattice of microspheres enhanced by specular resonance"J.Appl.Phys.. 95. 793 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Miyazaki, M.Hase, H.T.Miyazaki et al.: "Photonic material for designing arbitrarily shaped mirrors and microcavities in two dimension"J.Appl.Phys.. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] N.Horiuchi, Y.Segawa, H.Miyazaki: "Isotropic photonicgaps in a circular photonic cystal"Optics Lett.. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kurokawa, H.Miyazaki, Y.Jimba: "Optical band structure and near-field images of a periodically arrayed monolayer of dielectric spheres on dielectric substrate of finite thickness"Phys.Rev.B.. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Yamaguti, J.Inoue, K.Ohtaka: "Role of photonic crystals used in the laser acceleration and in the free electron laser"Phys.Rev.B. 66. 085209 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Yaniaguti, J.Inoue, O.Haeberle, K.Ohtaka: "Photonic crystals versus diffraction gratings in Smith-Purcell radiation"Phys.Rev.B. 66. 195202 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.AMFMIYA, K.OHTAKA: "Calculation of Transmittance of Light for an Array of Dielectric Rods Using Vector Cylindrical Waves : Complex Unit Cells"J.Phys.Soc.Jpn.. 72. 1244 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] J.Inoue, K.Ohtaka: "Photonic Anderson Model : Hybridization between Photon Virtual Bound State in Dielectrics and Free States"J.Phys.Soc.Jpn.. 72. 3024 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] J-P.Vigneron, V.Lousse, A.A.Lucas, K.Ohtaka: "Amplification of vacuum-ultraviolet radiation by reflection from planar and corrugated aluminum films containing helium excimers"J.Opt.Soc.Am.B. 20. 2297 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Yamamoto, H.Miyazaki, K.Ohtaka et al.: "Observation of Millimeter-Wave Radiation Generated by the Interaction between an Electron Beam and a Photonic Crystal"Phys.Rev.E. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Ochiai, K.Ohtaka: "Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals I : formalism and surface plasmon polariton"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Ochiai, K.Ohtaka: "Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals II : photonic band effect"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Yamaguti, T.Ochiai, J.Inoue, K.Ohtaka: "Means of sending a photon to an optically inactive photonic-band mode"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Ohtaka, S.Inoue, S.Yamaguti: "Derivation of the density of states of leaky photonic bands"Phys.Rev.B. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Hase, M.Egashira, Hiroshi Miyazaki et al.: "Optical transmission spectra of two-dimensional quasiperiodic photonic crystals based on Penrose-tiling and octagonal-tiling systems."Journal of Alloys and Compounds. 342. 455 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Hase, H.Miyazaki, Mitsuru Egashira et al.: "Isotropic photonic band gap and anisotropic structures in transmission spectra of two-dimensional fivefold and eightfold symmetric quasi-periodic photonic crystals"Phys.Rev.B. 66. 214205 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Anomalous scattering from dielectric bispheres in the specular direction"Optics Letters. 27. 1208 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Analysis of specular resonance in dielectric bispheres using rigorous and geometrical-optics theories"J.Opt.Soc.Am.. A20. 1771 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Enhanced light diffraction from a double-layer microsphere lattices"Appl.Phys.Lett.. 83. 3662 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Miyazaki, M.Hase, H.T.Miyazaki et al.: "Photonic material for designing arbitrarily shaped waveguides in two dimension"Phys.Rev.B. 67. 235109 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.T.Miyazaki, H.Miyazaki, Y.Jimba et al.: "Light diffraction from a bilayer lattice of microspheres enhanced by specular resonance"J.Appl.Phys.. 95. 793 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Miyazaki, M.Hase, H.T.Miyazaki et al.: "Photonic material for designing arbitrarily shaped mirrors and microcavities in two dimension"J.Appl.Phys.. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] N.Horiuchi, Y.Segawa, H.Miyazaki: "Isotropic photonicgaps in a circular photonic crystal"Optics Lett.. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Kurokawa, H.Miyazaki, Y.Jimba: "Optical band structure and near-field images of a periodically arrayed monolayer of dielectric spheres on dielectric substrate of finite thickness"Phys.Rev.B.. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.AMEMIYA, K.OHTAKA: "Calculation of Transmittance of Light for an Array of Dielectric Rods Using Vector Cylindrical Waves : Complex Unit Cells"J.Phys.Soc.Jpn.. 72. 1244 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] J.Inoue, K.Ohtaka: "Photonic Anderson Model : Hybridization between Photon Virtual Bound State in Dielectrics and Free States"J.Phys.Soc.Jpn.. 72. 3024 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] J-P.Vigneron, V.Lousse, A.A.Lucas, K.Ohtaka: "Amplification of vacuum-ultraviolet radiation by reflection from planar and corrugated aluminum films containing helium excimers"J.Opt.Soc.Am.. B20. 2297 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Analysis of specular resonance in dielectric bispheres using rigorous and geometrical-optics theories"J.Opt.Soc.Am.. A20. 1771 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.T.Miyazaki, H.Miyazaki, K.Miyano: "Enhanced light diffraction from a double-layer microsphere lattices"Appl.Phys.Lett.. 83. 3662 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Miyazaki, M.Hase, H.T.Miyazaki et al.: "Photonic material for designing arbitrarily shaped waveguides in two dimension"Phys.Rev.. B67. 235109 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.T.Miyazaki, H.Miyazaki, Y.Jimba et al.: "Light diffraction from a bilayer lattice of microspheres enhanced by specular resonance"J.Appl.Phys.. 95. 793 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Yamamoto, H.Miyazaki, K.Ohtaka et al.: "Observation of Millimeter-Wave Radiation Generated by the Interaction between an Electron Beam and a Photonic Crystal"Phys.Rev.E. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Ochiai, K.Ohtaka: "Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals I : formalism and surface plasmon polariton"Phys.Rev.B. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Ochiai, K.Ohtaka: "Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals II : photonic band effect"Phys.Rev.B. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] S.Yamaguti, T.Ochiai, J.Inoue, K.Ohtaka: "Means of sending a photon to an optically inactive photonic-band mode"Phys.Rev.B. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Ohtaka, S.Inoue, S.Yamaguti: "Derivation of the density of states of leaky photonic bands"Phys.Rev.B. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Miyazaki, M.Hase, H.T.Miyazaki et al.: "Photonic material for designing arbitrarily shaped mirrors and microcavities in two dimension"J.Appl.Phys.. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Horiuchi, Y.Segawa, H.Miyazaki: "Isotropic photonicgaps in a circular photonic crystal"Optics Lett.. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Kurokawa, H.Miyazaki, Y.Jimba: "Optical band structure and near-field images of a periodically arrayed thickness monolayer of dielectric spheres on dielectric substrate of finite"Phys.Rev.B. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Ohtaka: "Smith-Purcell radiation from a charge running near the surface of a photonic crystal"Optics and Quantum Electronics. 34. 233-250 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Kondo: "Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy"Phys. Rev.. B66・3. 33111-33114 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Yano: "Optical properties of monolayer lattice and three-dimensional photonic crystals using dielectric spheres"Phys. Rev.. B66・7. 75119-75125 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Yamaguti: "Photonic crystals versus diffraction gratings in Smith-Purcell radiation"Phys. Rev.. B66・19. 195202-195214 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Yamaguti: "Role of photonic crystals used in laser acceleration and in the free electron laser"Phys. Rev.. B66. 85209-85219 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Amemiya: "Calculation of Transmittance of Light for am Array of Dielectric Rods using Vector Cylindrical Waves : Complex Unit Cells"J. Phys. Soc. Jpn. (in press).

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Kurokawa: "Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates"Phys. Rev.. B65. 201102-201102 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Hase: "Optical transmission spectra of two-dimensional quasiperiodic photonic crystals based on Penrose-tiling and octagonal-tiling systems"Jour. Alloys and Compounds. 342. 455-459 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hedeki T.Miyazaki: "Anomalous scattering from dielectric biospheres in the specula direction"OPTICS LETTERS. 27. 1208-1210 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Hase: "Isotropic photonic band gap and anisotropic structures in transmission spectra of two-dimensional fivefold and eightfold symmetric quasiperiodic photonic crystals"Phys. Rev.. B66. 214205-214213 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 大高 一雄: "電気・電子・情報・通信・基礎コース「基礎量子力学」"丸善株式会社. 259 (2002)

    • Related Report
      2002 Annual Research Report

URL: 

Published: 2002-04-01   Modified: 2020-05-15  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi