Bessel functions-Based reconstruction of non-uniformly sampled diffraction fields
Esmer, G. B.
Ozaktas, H. M.
Proceedings of 3DTV-CON
Item Usage Stats
MetadataShow full item record
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/27023
A discrete computational model for the diffraction process is essential in forward problems related to holographic TV. The model must be as general as possible, since the shape of the displayed objects does not bear any restrictions. We derive a discrete diffraction model which suits the problem of reconstruction of diffraction fields from a set of non-uniformly distributed samples. The only restriction of the model is the wave nature of the field. The derivation takes advantage of changing the spatial and frequency coordinates to polar form and ends up with a model stated in terms of Bessel functions. The model proves to be a separable orthogonal basis. It shows rapid convergence when evaluated in the framework of the non-uniform sampling problem.
Probability density function
Showing items related by title, author, creator and subject.
Some mathematical properties of the uniformly sampled quadratic phase function and associated issues in digital Fresnel diffraction simulations Onural, L. (SPIE - International Society for Optical Engineering, 2004)The quadratic phase function is fundamental in describing and computing wave-propagation-related phenomena under the Fresnel approximation; it is also frequently used in many signal processing algorithms. This function has ...
Altintas, A. (2011)While he is a Professor Emeritus at Ohio State, Professor Kouyoumjian supervised a thesis work by Merih Buyukdura. They first derived a dyadic Green's function for a PEC wedge using spherical wave functions and employed ...
Onural, L. (Optical Society of America, 1993-06-01)The system impulse response representing the Fresnel diffraction is shown to form a wavelet family of functions. The scale parameter of the wavelet family represents the depth (distance). This observation relates ...