Write down an equation that gives an expression for the transverse magnetization under these circumstances.

Protons that are in different chemical species, such as the CH2 and CH3 groups in fat, will resonate at slightly different frequencies due to local shielding of the static field by the electronic environment. This change in the resonance frequency is called chemical shift; it has made NMR an indispensable tool for chemists and physicists. If N species are present in the sample, and we neglect all interactions between nuclei, the FID is composed of a set of N decaying oscillators. Write down an equation that gives an expression for the transverse magnetization under these circumstances.

find the cost of your paper

Explain why attenuation is not a big problem in PET.

Consider a 2-D object consisting of two triangle compartments, as shown in Figure P9.4. Suppose a solution containing a 511 KeV gamma ray emitting radionuclide with concentration f = 0.5….

Give the mean and the variance of the reconstructed image, mean[ˆ f(x, y)] and var[ˆ f(x, y)].

Ignoring the inverse square law and attenuation, an approximate reconstruction for SPECT imaging is given by where c˜() =  {||W()} and W() is a rectangular windowing filter that cuts off at = 0…..

Find the numerical responses in each to an event in crystal C(4, 6).

Suppose a PET detector comprises four square PMTs (arranged as a 2 by 2 matrix) and a single BGO crystal with slits made in such a way that it is….