Analysis of time resolved femtosecond and femtosecond/picosecond coherent anti-Stokes Raman spectroscopy: Application to toluene and Rhodamine 6G

Niu, Kai; Lee, Soo-Y.

doi:doi:10.1063/1.3682470

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The third-order polarization for coherent anti-Stokes Raman scattering (CARS) from a pure state is described by 48 terms in perturbation theory, but only 4 terms satisfy the rotating wave approximation. They are represented by Feynman dual time-line diagrams and four-wave mixing energy level diagrams. In time-resolved (tr) fs and fs/ps CARS from the ground vibrational state, one resonant diagram, which is the typical CARS term, with three field interactions—pump, Stokes, followed by probe—on the ket is dominant. Using the separable, displaced harmonic oscillators approximation, an analytic result is obtained for the four-time correlation function in the CARS third-order polarization. Dlott's phenomenological expression for off-resonance CARS from the ground vibrational state is derived using a three-state model. We calculated the tr fs and fs/ps CARS for toluene and Rhodamine 6G (R6G), initially in the ground vibrational state, to compare with experimental results. The observed vibrational features and major peaks for both tr fs and fs/ps CARS, from off-resonance (for toluene) to resonance (for R6G) pump wavelengths, can be well reproduced by the calculations. The connections between fs/ps CARS, fs stimulated Raman spectroscopy, and impulsive stimulated scattering for toluene and R6G are discussed.

Article Outline

INTRODUCTION
THEORY
1. Diagrammatic perturbation theory for CARS
2. Separable, displaced harmonic oscillators model
3. Three-state model for CARS and Dlott's phenomenological result
4. Third-order polarization for inverse Raman scattering in FSRS
RESULTS AND DISCUSSIONS
1. Non-resonant CARS on toluene
2. CARS on R6G
3. Relationship among CARS, FSRS, and ISS
CONCLUSION

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KEYWORDS, PACS, and IPC

Keywords

coherent antiStokes Raman scattering, ground states, harmonic oscillators, high-speed optical techniques, multiwave mixing, optical pumping, organic compounds, perturbation theory, resonant states, rotational states, time resolved spectra, vibrational states

PACS

33.20.Fb

Raman and Rayleigh spectra (including optical scattering)
33.20.Sn

Rotational analysis
33.20.Tp

Vibrational analysis
33.80.Be

Level crossing and optical pumping
31.15.xp

Perturbation theory

International Patent Classification (IPC)

G02F1/35
Non-linear optics
H01S3/091
Using optical pumping

ARTICLE DATA

Digital Object Identifier

http://dx.doi.org/10.1063/1.3682470

PUBLICATION DATA

ISSN

0021-9606 (print)

1089-7690 (online)

Publisher

$abstract.society.value is a Member of CrossRef

American Institute of Physics

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