Quantum theory of coherent hyper-Raman scattering from isotropic materials

Jón Örn Bjarnason, Hans C. Andersen, Bruce S Hudson

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3 Scopus citations


The fully quantum mechanical theory of coherent hyper-Raman scattering is developed. In this scattering process, which has previously been proposed, two laser beams of wave vectors and frequencies k 1 and ω 1and k 2 and ω 2, respectively, impinge upon the sample to produce a scattered beam characterized by a wave vector k 3=4k 1-k 2 and a frequency ω 3=4ω 12. An expression for the rate of scattering from a gas is derived, and several polarization experiments are discussed. It is shown that the selection rules for coherent hyper-Raman scattering are identical to those for the spontaneous hyper-Raman process. A relation between the coherent hyper-Raman spectrum and a correlation function of the hyperpolarizability is obtained. The coherent hyper-Raman process, though not yet observed in the laboratory, may afford an improved way of obtaining hyper-Raman spectra. This process bears the same relation to spontaneous hyper-Raman scattering as the coherent Raman process does to spontaneous Raman scattering, and it should display similar advantages, viz., a higher signal to noise ratio and a resolution limited only by the laser linewidth.

Original languageEnglish (US)
Pages (from-to)1827-1835
Number of pages9
JournalThe Journal of Chemical Physics
Issue number4
StatePublished - 1980
Externally publishedYes


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Bjarnason, J. Ö., Andersen, H. C., & Hudson, B. S. (1980). Quantum theory of coherent hyper-Raman scattering from isotropic materials. The Journal of Chemical Physics, 73(4), 1827-1835.