### Abstract

A second order optical process in a localized electron-phonon system is studied under a stationary excitation. A stochastic theory of vibrational relaxation at finite temperature is constructed based upon a quantum mechanical treatment. We project the dynamical motion of the whole lattice system onto the stochastic motion of a pseudo-local mode or a localized mode visualizing this mode as a damped harmonic oscillator which undergoes a Brownian motion. The overall emission spectrum is calculated and it is found that the relative intensities of the Raman scattering and luminescence components are determined competitively by two physical parameters, i.e., the radiative damping rate and the vibrational relaxation rate. It is also discussed how the relative orders of magnitude among various components of the secondary emission depend on the incident photon energy and the temperature of phonon system.

Original language | English |
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Pages (from-to) | 728-741 |

Number of pages | 14 |

Journal | Journal of the Physical Society of Japan |

Volume | 44 |

Issue number | 3 |

Publication status | Published - 1978 Mar |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*44*(3), 728-741.

**Second order optical processes in a localized electron-phonon system- Stationary response.** / Takagahara, Toshihide; Hanamura, Eiichi; Kubot, Ryogo.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 44, no. 3, pp. 728-741.

}

TY - JOUR

T1 - Second order optical processes in a localized electron-phonon system- Stationary response

AU - Takagahara, Toshihide

AU - Hanamura, Eiichi

AU - Kubot, Ryogo

PY - 1978/3

Y1 - 1978/3

N2 - A second order optical process in a localized electron-phonon system is studied under a stationary excitation. A stochastic theory of vibrational relaxation at finite temperature is constructed based upon a quantum mechanical treatment. We project the dynamical motion of the whole lattice system onto the stochastic motion of a pseudo-local mode or a localized mode visualizing this mode as a damped harmonic oscillator which undergoes a Brownian motion. The overall emission spectrum is calculated and it is found that the relative intensities of the Raman scattering and luminescence components are determined competitively by two physical parameters, i.e., the radiative damping rate and the vibrational relaxation rate. It is also discussed how the relative orders of magnitude among various components of the secondary emission depend on the incident photon energy and the temperature of phonon system.

AB - A second order optical process in a localized electron-phonon system is studied under a stationary excitation. A stochastic theory of vibrational relaxation at finite temperature is constructed based upon a quantum mechanical treatment. We project the dynamical motion of the whole lattice system onto the stochastic motion of a pseudo-local mode or a localized mode visualizing this mode as a damped harmonic oscillator which undergoes a Brownian motion. The overall emission spectrum is calculated and it is found that the relative intensities of the Raman scattering and luminescence components are determined competitively by two physical parameters, i.e., the radiative damping rate and the vibrational relaxation rate. It is also discussed how the relative orders of magnitude among various components of the secondary emission depend on the incident photon energy and the temperature of phonon system.

UR - http://www.scopus.com/inward/record.url?scp=0038414956&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038414956&partnerID=8YFLogxK

M3 - Article

VL - 44

SP - 728

EP - 741

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -