Fourier transform Doppler spectroscopy: A new means of obtaining velocity-angle distributions in scattering experiments

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Abstract
A new method is presented for obtaining three‐dimensional velocity distributions in scattering measurements. This method, which affords a potential improvement in the rate of signal acquisition of approximately 104 over conventional molecular beam techniques, utilizes Doppler profiles for light absorption, measured as a function of the direction of the incident light. A unique inversion of the set of Doppler profiles into the three dimensional velocity distribution is accomplished by a straightforward Fourier transformation procedure. A numerical example, illustrating the sensitivity and stability of the data‐analysis techniques, is presented. New interpretations are obtained for data from gas phase experiments employing the Doppler effect for velocity selection or analysis. These indicate that such measurements can give a much closer approach to information of molecular beam quality than has previously been thought.