Write down an expression for the scatterer in mathematical form.

A 1 cm × 1 cm ultrasound transducer is placed on the z = 0 plane and pointed in the +z direction. Its sides are parallel to the x and y axes, and its center is at the origin. The transducer is submerged in a homogeneous medium with speed of sound c = 1, 540 m/s. The working frequency is 2.5 MHz. A line scatterer parallel to y-axis passing through the point (0, 0, 5) cm is being imaged.

(a) Write down an expression for the scatterer in mathematical form.

(b) What is the estimated reflectivity?

(c) If a second line scatterer parallel to the first one is placed at the same range, what is the minimal distance between them for the system to distinguish them?

(d) Repeat parts (b) and (c) when the scatterer is at range z = 20 cm.

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….