The relationship between computed tomography (CAT) and diffraction tomography (DT) is investigated. A simple condition with a clear physical meaning is derived for the applicability of CAT. Corrections due to scattering are incorporated into CAT, and it is shown that the effect of scattering may be characterized by a two-dimensional fractional Fourier transform. The implications of these results for the three-dimensional imaging of weakly scattering objects are also discussed.
© 2001 Optical Society of America
Original Manuscript: November 27, 2000
Revised Manuscript: February 21, 2001
Manuscript Accepted: February 21, 2001
Published: September 1, 2001
Greg Gbur and Emil Wolf, "Relation between computed tomography and diffraction tomography," J. Opt. Soc. Am. A 18, 2132-2137 (2001)