The time response of nuclei excited by pulsed synchrotron radiation is
affected by correlations in the nuclear response transverse to the be
am direction. The coherent addition of the radiation scattered by nucl
ei having a distribution of Doppler shifts accelerates the decay in th
e forward scattering from a rotating foil of Fe-57 stainless steel. A
model based on Huygens's construction shows good agreement with the da
ta, allowing estimation of the source size or transverse coherence len
gth. Implications for spectroscopic experiments using nuclear forward
scattering are discussed.