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Springer eBooks

Stochastic models of intermediate state interaction in second order optical processes

Ryogo Kubo, T. Takagahara, Eiichi Hanamura

Published Apr 6, 2008• 5 citations
Publisher
DOI
10.1007/3-540-07991-2_101

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A stochastic theory of second order optical processes

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Stochastic Models of Intermediate State Interaction in Second Order Optical Processes –Stationary Response. I–

T. Takagahara, Eiichi Hanamura, Ryogo Kubo

A general theory of the intermediate state interaction in the second order optical process is developed by extending the stochastic theory of line shape. We introduce the stochastic models of the intermediate state interaction and discuss the general features of the secondary emission spectrum, focusing particular attention on how the correlation between the incident and the scattered photons are affected by the intermediate state interaction. It is clarified how the spectral features or the relative weights among the various components of the second order optical process are determined by a few physical parameters; the radiative damping rate and the modulation amplitude and rate. Further we discuss the relationships between the first and the second order optical processes.

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A general theory of transient light scattering is developed on the basis of our stochastic theory of intermediate state interaction. The transient behaviors of various components of the second order optical process under a pulsed irradiation are discussed and model calculations of the time-resolved emission spectra are performed. It is clarified that in the fast modulation limit the Raman component has a time constant determined by the phase memory time of the intermediate state while the time constant of the luminescence component is given by the radiative damping rate. The transient behaviors of the scattered light intensity are also discussed.

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Stochastic Models of Intermediate State Interaction in Second Order Optical Processes –Stationary Response. II–

T. Takagahara, Eiichi Hanamura, Ryogo Kubo

The stochastic theory of intermediate state interaction developed in a preceding paper is applied to more realistic models to discuss the correlation between the incident and the scattered photons in more detail. Through these model calculations it is confirmed that the spectral characteristics of the second order optical process are determined by a few physical parameters of the radiative damping rate and the modulation amplitude and rate. In the slow modulation limit the relative intensity ratio between the broad Raman component and the luminescence is almost determined by the ratio between the radiative damping rate (γ b ) and the modulation rate (γ m ). In the fast modulation limit the ratio between the δ-shaped Raman component if it exists and the luminescence is given by the ratio between γ b and the dephasing relaxation rate Δ 2 /γ m ( Δ denotes the modulation amplitude.).

Journal of the Physical Society of Japan•Sep 1, 1977•95 citations
A general theory of the intermediate state interaction in the second order optical process is developed by extending the stochastic theory of line shape. We introduce the stochastic models of the intermediate state interaction and discuss the general features of the secondary emission spectrum, focusing particular attention on how the correlation between the incident and the scattered photons are affected by the intermediate state interaction. It is clarified how the spectral features or the relative weights among the various components of the second order optical process are determined by a few physical parameters; the radiative damping rate and the modulation amplitude and rate. Further we discuss the relationships between the first and the second order optical processes.
A general theory of transient light scattering is developed on the basis of our stochastic theory of intermediate state interaction. The transient behaviors of various components of the second order optical process under a pulsed irradiation are discussed and model calculations of the time-resolved emission spectra are performed. It is clarified that in the fast modulation limit the Raman component has a time constant determined by the phase memory time of the intermediate state while the time constant of the luminescence component is given by the radiative damping rate. The transient behaviors of the scattered light intensity are also discussed.
The stochastic theory of intermediate state interaction developed in a preceding paper is applied to more realistic models to discuss the correlation between the incident and the scattered photons in more detail. Through these model calculations it is confirmed that the spectral characteristics of the second order optical process are determined by a few physical parameters of the radiative damping rate and the modulation amplitude and rate. In the slow modulation limit the relative intensity ratio between the broad Raman component and the luminescence is almost determined by the ratio between the radiative damping rate (γ b ) and the modulation rate (γ m ). In the fast modulation limit the ratio between the δ-shaped Raman component if it exists and the luminescence is given by the ratio between γ b and the dephasing relaxation rate Δ 2 /γ m ( Δ denotes the modulation amplitude.).