Generalized projection and section theorems in diffraction tomography

1994 ◽  
pp. 33-42 ◽  
Author(s):  
A. N. Panchenko
Keyword(s):  
Generalized Projection ◽  
Diffraction Tomography

Generalized Projection-Slice Theorem for Fan Beam Diffraction Tomography

1985 ◽  
Vol 7 (3) ◽  
pp. 264-275 ◽  
Author(s):  
Anthony J. Devaney
Keyword(s):  
Point Source ◽  
Plane Surface ◽  
Three Dimensional ◽  
Generalized Projection ◽  
Diffraction Tomography ◽  
Slice Theorem ◽  
Measurement Plane ◽  
Ellipsoid Of Revolution ◽  
Special Case ◽  
Beam Diffraction

A generalized projection-slice theorem is derived for transmission fan beam diffraction tomography within the Born or Rytov approximations. The development is based on the use of the so-called paraxial approximation which requires that the object being probed subtend a small angle relative to the source point and to the measurement plane. Within this approximation it is shown that the transmitted field measured over a plane surface located on the opposite side of the object from the insonifying point source determines the three-dimensional spatial Fourier transform of the object profile over the surface of an ellipsoid of revolution in Fourier space. In the special case where the point source is in the far field of the object the semiaxes of the ellipsoid become equal and the surface degenerates to a sphere and the result reduces to the usual projection-slice theorem of plane beam diffraction tomography.

Development of a novel apparatus for experiments in soft X-ray diffraction imaging and diffraction tomography

2003 ◽  
Vol 104 ◽  
pp. 27-30 ◽  
Author(s):  
T. Beetz ◽  
C. Jacobsen ◽  
C.-C. Kao ◽  
J. Kirz ◽  
O. Mentes ◽  
...  
Keyword(s):  
Diffraction Tomography ◽  
X Ray Diffraction ◽  
X Ray ◽  
Diffraction Imaging

Transurethral Ultrasound Diffraction Tomography

2005 ◽  
Author(s):  
Matthias C. Schabel ◽  
Dilip G. Roy ◽  
Altaf Khan
Keyword(s):  
Diffraction Tomography ◽  
Transurethral Ultrasound

Studies of ancient pottery fragments from Dobrudja region of Romania using neutron diffraction, tomography and Raman spectroscopy

2021 ◽  
Vol 35 ◽  
pp. 102755
Author(s):  
B.A. Abdurakhimov ◽  
S.E. Kichanov ◽  
C. Talmaţchi ◽  
D.P. Kozlenko ◽  
G. Talmaţchi ◽  
...  
Keyword(s):  
Raman Spectroscopy ◽  
Neutron Diffraction ◽  
Diffraction Tomography ◽  
Ancient Pottery
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