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Victor-O. de Haan, J. Plomp, W.G. Bouwman, M. Trinker, M.T. Rekveldt, C.P. Duif, E. Jericha, H. Rauch, A. van Well:
"Phase-object approximation in small-angle neutron scattering experiments on silicon gratings";
Journal of Applied Crystallography, 40 (2007), 151 - 157.

The phase-object approximation for neutron scattering based on a onedimensional
dynamic forward scattering theory is discussed and used to
calculate the differential cross section of an object. It is shown that this
approximation is valid in ultra-small-angle neutron scattering (USANS) and
spin-echo small-angle neutron scattering (SESANS) experiments on silicon
gratings. In the weak scattering limit, the phase-object approximation reduces to
the kinematic or first Born approximation. The spatial coherence function is
used to describe instrumental resolution effects. Measurements on three
different instruments are in good agreement with calculation results. In the
experiment with a time-of-flight SESANS instrument, the effect of Pendello¨sung
with object size is observed.