1. (20 pts) Plot the pulse and the FFT for a pulse with the following properties at x=0 and x=10 cm. f=2 MHz m=3 Ncyc=2, 6, 20 po 1 MPa (source pressure) x=10 cm (propagates in a Newtonian fluid for 10 cm as a plane wave-not a sound beam) a=0.5 dB/(MHz cm) Consider 3 types of waves: sine, square, and sawtooth. (square and sawtooth only for grad students) Observe your plots and draw some conclusions. Discuss any possible issues you encounter. 2. (20 pts) We have the following 3 ultrasonic transducers: a. Focused 1 MHz, 2.54 cm diameter, 5.08 cm focus b. Focused 3 MHz, 2.54 cm diameter, 5.08 cm focus c. Unfocused 0.1 MHz, 2.54 cm diameter The transducers are operating in water (c=1486 m/s). I. Plot the axial field for all transducers II. Plot the focal transverse field for the focused transducers and the transverse field at the Rayleigh distance (R_0) and at 2R_0 for the unfocused. III. Assume source pressure of 0.1 MPa, and find the acoustic pressure in MPa at the location (r=0, z=4.5 cm) and (r=0.15cm, z=5.08 cm) for all three transducers. IV. Discuss your results 3. (10 pts) What is the acoustic pressure of transducer (b) in problem 2 when operating in liver (a=9.05 Np/(m MHz) at the following 2 locations: (r=0.2 cm, z=3. 5 cm) and (r=0.2 cm, z=9 cm)
1. (20 pts) Plot the pulse and the FFT for a pulse with the following properties at x=0 and x=10 cm. f=2 MHz m=3 Ncyc=2, 6, 20 po 1 MPa (source pressure) x=10 cm (propagates in a Newtonian fluid for 10 cm as a plane wave-not a sound beam) a=0.5 dB/(MHz cm) Consider 3 types of waves: sine, square, and sawtooth. (square and sawtooth only for grad students) Observe your plots and draw some conclusions. Discuss any possible issues you encounter. 2. (20 pts) We have the following 3 ultrasonic transducers: a. Focused 1 MHz, 2.54 cm diameter, 5.08 cm focus b. Focused 3 MHz, 2.54 cm diameter, 5.08 cm focus c. Unfocused 0.1 MHz, 2.54 cm diameter The transducers are operating in water (c=1486 m/s). I. Plot the axial field for all transducers II. Plot the focal transverse field for the focused transducers and the transverse field at the Rayleigh distance (R_0) and at 2R_0 for the unfocused. III. Assume source pressure of 0.1 MPa, and find the acoustic pressure in MPa at the location (r=0, z=4.5 cm) and (r=0.15cm, z=5.08 cm) for all three transducers. IV. Discuss your results 3. (10 pts) What is the acoustic pressure of transducer (b) in problem 2 when operating in liver (a=9.05 Np/(m MHz) at the following 2 locations: (r=0.2 cm, z=3. 5 cm) and (r=0.2 cm, z=9 cm)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:1. (20 pts) Plot the pulse and the FFT for a pulse with the following properties at x=0 and x=10
cm.
f=2 MHz
m=3
Ncyc=2, 6, 20
po 1 MPa (source pressure)
x=10 cm (propagates in a Newtonian fluid for 10 cm as a plane wave-not a sound beam)
a=0.5 dB/(MHz cm)
Consider 3 types of waves: sine, square, and sawtooth. (square and sawtooth only for grad
students)
Observe your plots and draw some conclusions. Discuss any possible issues you encounter.
2. (20 pts) We have the following 3 ultrasonic transducers:
a. Focused 1 MHz, 2.54 cm diameter, 5.08 cm focus
b. Focused 3 MHz, 2.54 cm diameter, 5.08 cm focus
c. Unfocused 0.1 MHz, 2.54 cm diameter
The transducers are operating in water (c=1486 m/s).
I. Plot the axial field for all transducers
II. Plot the focal transverse field for the focused transducers and the transverse field at the
Rayleigh distance (R_0) and at 2R_0 for the unfocused.
III. Assume source pressure of 0.1 MPa, and find the acoustic pressure in MPa at the location
(r=0, z=4.5 cm) and (r=0.15cm, z=5.08 cm) for all three transducers.
IV. Discuss your results
3. (10 pts) What is the acoustic pressure of transducer (b) in problem 2 when operating in liver
(a=9.05 Np/(m MHz) at the following 2 locations: (r=0.2 cm, z=3. 5 cm) and (r=0.2 cm, z=9
cm)
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