Make a sketch of the peak-height of the returning pulse as a function of the y position of the first transducer.

Two identical square transducers with width 1 cm face each other. The first one is located at the origin and points in the +x direction; the second one is located at (10 cm, 0, 0) and points toward the origin. The first one will be used to image the second one. Assume a homogeneous medium with ρ0 = 1, 000 kg/m3, c = 1, 500 m/s, and α = 1 dB/cm. Assume that the first transducer fires a perfect geometric beam with peak transmit acoustic pressure measured at its face of 12.25 N/cm2; assume that the second transducer is a perfect reflector.

(a) Sketch the A-mode signal. Label the axes carefully and identify the time-of-return and peak-height (as an acoustic pressure at the face) of the returning pulse.

(b) At time t = 2 s the second transducer begins to move back-andforth along the x-axis with x position x(t) = 10 + sin 2π(t − 2) cm, t ≥ 2 seconds. Sketch the M-mode plot for 0 ≤ t ≤ 5 seconds. Label the axes carefully; identify key points on your plot.

(c) Now suppose the second transducer stops at its original position and we allow the first transducer to move along the y axis. Sketch the resulting B-mode image. Label the axes carefully; identify key points on your plot. Make a sketch of the peak-height of the returning pulse as a function of the y position of the first transducer.

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….