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Microscopic nonlocal theory of the optical processes due to resonant medium in a cavity

Research Project

Project/Area Number 15540311
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Condensed matter physics I
Research InstitutionFukui University of Technology, Department of Engineering (2004-2005)
Osaka University (2003)

Principal Investigator

CHO Kikuo  Fukui University of Technology, Department of Engineering, Professor, 工学部, 教授 (60013489)

Co-Investigator(Kenkyū-buntansha) ISHIHARA Hajime  Osaka Prefectural University, Graduate School of Engineering, Professor, 工学研究科, 教授 (60273611)
AJIKI Hiroshi  Osaka University, Graduate School of Engineering Science, Research Assistant, 基礎工学研究科, 助手 (60283735)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2003: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywordscavity / resonant polarization / cavity polariton / Green function / Bragg scattering / surface acoustic wave / photonic bands / キャビティポラリトン / ブラッグ回折 / 共鳴効果 / 減衰波 / 非線形感受率 / 相殺効果 / テャビティポラリトン / 非局所分極率 / 自己無撞着解 / 音響光学 / 輻射寿命 / 動的ブラッグ散乱 / 縮退4光波混合
Research Abstract

The effect of nonresonant polarization in resonant optical processes is generally not negligible, but can have principal importance via the formation of cavity modes. Based on this background idea, we have made a general formulation of resonant optical processes in the form of the interaction of resonant polarization and the cavity EM field with finite Q-factor due to nonresonant polarization, and various applications have been performed. As the induced polarization to be renormalized in the cavity EM field, not only the linear, nonresonant polarization, but also its resonant part is possible. In each case of renormalization, we have given a Green function method, which enables us to obtain the complete solution of optical response with due consideration of the interaction between renormalized cavity mode and remaining part of polarization. When the resonant linear polarization is renormalized, the Green function is obtained in an analytical form due to the nonlocality of its susceptib … More ility. The extension of this scheme has been made from practically useful 1D multilayer cavity to 2D and 3D cavities, which allows us to discuss the "size and shape" dependent radiative lifetime in the resonant second order optical processes. As the first example of application, the SAW (surface acoustic wave) induced Bragg scattering of cavity polaritons of a quantum well in a multilayer cavity has been calculated, together with the modulated spectra of reflectivity and transmission. Because of the use of doubly resonant character of this process, a large modulation effect has been obtained for a rather weak disturbance by SAW. As the second application, we have developed a method of calculation of the photonic band dispersion for a multilayer cavity polaritons with a lateral periodicity and it is now being investigated how the effective Rabi splitting of the cavity polariton is enhanced by adjusting the lateral periodicity. Also, a new method has been developed to calculate photonic band dispersion in the form of wave numbers as functions of a frequency, which is necessary to calculate any optical responses, and this method has turned out to increase the numerical accuracy.
Additionally, we have investigated (a)a new interpretation of the drastic evolution of optical spectrum of a resonant Bragg reflector, (b)an experimental proof of the size dependent radiative shift of a thin film exciton, which we proposed before, (c)a new theoretical scheme to study the cancellation problem of nonlinear susceptibilities for a general semiconductor Hamiltonian, (d)optical responses of excitons in a core shell cavity, (e)linear and nonlinear responses of spiral excitons, (f)comparing study of QED and semiclassical theory of a nonlinear process for a two-level system in a cavity. Less

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (34 results)

All 2006 2005 2004 2003 Other

All Journal Article (30 results) Book (3 results) Publications (1 results)

  • [Journal Article] Vacuum-field Rabi splitting in semiconductor core-shell microsphere2006

    • Author(s)
      H.Ajiki, T.Kaneno, H.Ishihara
    • Journal Title

      Phys. Rev. B 73

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Vacuum-field Rabi splitting in semiconductor core-shell microsphere2006

    • Author(s)
      H.Ajiki, T.Kaneno, H.Ishihara
    • Journal Title

      Phys.Rev.B 73

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] BRagg diffraction of microcavity polaritons by a surface acoustic wave2005

    • Author(s)
      K.Cho, K.Okumoto, N.Nikolaev, A.L.Ivanov
    • Journal Title

      Phys. Rev. Lett. 94

      Pages: 3088-3092

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optical response of photonic crystals requiring high precision band calculation in the form of k(ω) including evanescent waves2005

    • Author(s)
      K.Cho, J.Ushida, M.Bamba
    • Journal Title

      J. Phys. Soc. Jpn. 74

      Pages: 3088-3092

    • NAID

      110002325550

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Novel approach to nonlinear susceptibilitiy in semiconductors2005

    • Author(s)
      M.Combescot, O.B-Matibet, K.Cho, H.ajiki
    • Journal Title

      Europhys. Lett. 72

      Pages: 618-628

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Linear and nonlinear optical response of spiral type excitons2005

    • Author(s)
      H.Ishihara, H.Mifune, T.Nakatani
    • Journal Title

      J. Lumin. 112

      Pages: 465-468

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Validity of semiclassical treatment of optical response in cavity systemps2005

    • Author(s)
      H.Ajiki
    • Journal Title

      Phys. Rev. B 71

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Parameters of a driven Jaynes-Cummings Hamiltonian2005

    • Author(s)
      H.Ajiki
    • Journal Title

      J.Opt. B : Quantum Semiclass. Opt. 7

      Pages: 29-34

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optimal conditions for achieving strong third-order nonlinearity in semiconductor cavities2005

    • Author(s)
      H.Ajiki
    • Journal Title

      J. Phys. Soc. Jpn 74

      Pages: 2929-2932

    • NAID

      110002325524

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bragg diffraction of microcavity polaritons by a surface acoustic wave2005

    • Author(s)
      K.Cho, K.Okumoto, N.Nikolaev, A.L.Ivanov
    • Journal Title

      Phys.Rev.Lett. 94

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optical response of photonic crystals requiring high precision band calculation in the form of k(ω) including evanescent waves2005

    • Author(s)
      K.Cho, J.Ushida, M.Bamba
    • Journal Title

      J.Phys.Soc.Jpn. 74

      Pages: 3088-3092

    • NAID

      110002325550

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Novel approach to nonlinear susceptibilitiy in semiconductors2005

    • Author(s)
      M.Combescot, O.B-Matibet, K.Cho, H.Ajiki
    • Journal Title

      Europhys.Lett. 72

      Pages: 618-628

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Linear and nonlinear optical response of spiral type excitons2005

    • Author(s)
      H.Ishihara, H.Mifune, T.Nakatani
    • Journal Title

      J.Lumin. 112

      Pages: 465-468

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Validity of semiclassical treatment of optical response in cavity systems2005

    • Author(s)
      H.Ajiki
    • Journal Title

      Phys.Rev.B 71

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Parameters of a driven Jaynes-Cummings Hamiltonian2005

    • Author(s)
      H.Ajiki
    • Journal Title

      J.Opt.B : Quantum Semiclass.Opt. 7

      Pages: 29-34

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Optimal conditions for achieving strong third-order nonlinearity in semiconductor cavities2005

    • Author(s)
      H.Ajiki
    • Journal Title

      J.Phys.Soc.Jpn. 74

      Pages: 2929-2932

    • NAID

      110002325524

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bragg Diffraction of Microcavity Polaritons by a Surface Acoustic Wave2005

    • Author(s)
      K.Cho, K.Okumoto, N.Nikolaev, A.L.Ivanov
    • Journal Title

      Phys.Rev.Lett. 94

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Optical response of photonic crystals requiring high precision and calculation in the form of k(ω) including evanescent waves2005

    • Author(s)
      K.Cho, J.Ushida, M.Bamba
    • Journal Title

      J.Phys.Soc.Jpn. 74

      Pages: 3088-3088

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Novel Approach to Nonlinear Susceptibility in Semiconductors2005

    • Author(s)
      M.Combescot, O.B-Matibet, K.Cho, H.Ajiki
    • Journal Title

      Europhys.Lett. Vol.72,p.618 72

      Pages: 618-618

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The Green funcion of cavity polariton with radiative correction : a new description of resonant second order processes2004

    • Author(s)
      K.Cho
    • Journal Title

      J. Phys. Condens. Mater 16

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spatial dispersion effects on the optical properties of a resonant Bragg reflector2004

    • Author(s)
      L.Pilozzi, A.D'Andrea, K.Cho
    • Journal Title

      Phys. Rev. B 69

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Interchange of the quantum states of confined excitons caused by radiative corrections in CuCl films2004

    • Author(s)
      A.Syouji, B.P.Zhang, Y.Segawa, J.Kishimoto, H.Ishihara, K.Cho
    • Journal Title

      Phys. Rev. Lett. 92

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Green function of cavity polariton with radiative correction : a new description of resonant second order processes2004

    • Author(s)
      K.Cho
    • Journal Title

      J.Phys.Condens.Matter 16

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Spatial dispersion effects on the optical properties of a resonant Bragg reflector2004

    • Author(s)
      L.Pilozzi, A.D'Andrea, K.Cho
    • Journal Title

      Phys.Rev.B 69

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Interchange of the quantum states of confined excitons caused by radiative corrections in CuCl films2004

    • Author(s)
      A.Syouji, B.P.Zhang, Y.Segawa, J.Kishimoto, H.Ishihara, K.Cho
    • Journal Title

      Phys.Rev.Lett. 92

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Green function of cavity polariton with radiative correction : A new description of resonant second-order processes2004

    • Author(s)
      K.Cho
    • Journal Title

      J.Phys. : Condens.Matter 16/35

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spatial dispersion effects on the optical properties of a resonant Bragg reflector2004

    • Author(s)
      L.Pilozzi, A.D'Andrea, K.Cho
    • Journal Title

      Phys.Rev.B 69/20

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Interchange of quantum states of confined excitons caused by Radiative corrections in CuCl films2004

    • Author(s)
      A.Shouji, B.P.Zhang, Y.Segawa, J.Kishimoto, H.Ishihara, K.Cho
    • Journal Title

      Phys.Rev.Lett. 92/25

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Radiation Green's function of a DBR cavty containing a quantum well : vacuum photons and cavity polaritions on equal footing2003

    • Author(s)
      K.Cho
    • Journal Title

      J. Lumin 102/103

      Pages: 232-234

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Radiation Green's function of a DBR cavity containing a quantum well : vacuum photons and cavity polaritons on equal footing2003

    • Author(s)
      K.Cho
    • Journal Title

      J.Lumin. 102/103

      Pages: 232-234

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] ナノ構造物質の光学応答2004

    • Author(s)
      張 紀久夫
    • Total Pages
      233
    • Publisher
      シュプリンガー・フェアラーク東京
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] Optical Response of Nanostructured Materials(in Japanese)2004

    • Author(s)
      K.Cho
    • Publisher
      Springer Verlag Tokyo
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] ナノ構造物質の光学応答2004

    • Author(s)
      張 紀久夫
    • Total Pages
      233
    • Publisher
      シュプリンガーフェアラーク東京
    • Related Report
      2004 Annual Research Report
  • [Publications] K.Cho: "Green function of cavity polariton with radiative correction : new description of resonant second-order optical processes"J.Phys.C. (in print).

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2020-05-15  

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