Fig. 6.2: The Fourier Diffraction Theorem relates the projection to the Fourier Fourier transform of a diffracted transform of the object along a semicircular arc. (From [Sla83].) Before giving a ...

Linear transforms ... the diffraction surfaces, not an actual implementation. We aren’t sure how hard it is to realize high-resolution diffraction surfaces with the very specific patterns ...

the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, ...

In our proof of the Fourier Diffraction Theorem, we showed that when an object is illuminated with a plane wave traveling in the positive y direction, the Fourier transform of the forward scattered ...