Diffraction tomography reconstructions of objects from Limited transmitted
field data sets are discussed together with theoretical analyses and result
s of numerical experiments. It is shown that Limited data sets, representin
g only a small part of the complete data sets, can be used for reconstructi
ons in diffraction tomography with satisfactory accuracy. We also find that
, in diffraction tomography based on the hybrid filtered backpropagation an
d the first-Rytov approximation, the use of limited data sets can provide a
larger range of validity than the use of complete data sets, the reason be
ing that Limited data sets pose less-severe phase-unwrapping problems. (C)
2000 Optical Society of America. OCIS codes: 050.1940, 070.6020, 100.6950.