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Published July 13, 1990 | public
Journal Article

From femtosecond temporal spectroscopy to the potential by a direct classical inversion method


A simple procedure is described for the inversion of femtosecond temporal spectra to yield the potential. From observations by the femtosecond probe laser of the vibrational oscillations resulting from the coherent excitation of several vibrational states by the femtosecond pump laser over a range of excitation wavelengths (λ_1), one ascertains the energy dependence of the vibrational period τ. A fit of the data points τ(λ_1) is used in an analytical representation of a classical expression for the turning-point difference ΔR, from which one obtains V(ΔR) directly, without concern for the vibrational level structure. The method is applied to I_2(B ^3Π_(0+u)).

Additional Information

© 1990 Elsevier Science Publishers B.V. Received 11 April 1990; in final form 3 May 1990. The authors appreciate preliminary discussions with Professor E. Pollak, Professor A. Kuppermann, and valuable comments on the manuscript by Dr. M.H.M. Janssen, Dr. M. Gruebele, Dr. R.M. Bowman, Dr. G. Roberts. and Mr. M. Dantus. Special thanks are due to Mr. R.S. Mackay for his valuable help with the calculations. Finally, we wish to thank Professor R.J. LeRoy and Dr. M.H.M. Janssen for pointing out refs [20,21] which are relevant to the present classical inversion scheme. This research program is supported by the National Science Foundation and the Air Force Office of Scientific Research.

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August 19, 2023
October 20, 2023