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Lesson 02: Sound Wave Production This lesson contains 24 slides plus 11 multiple-choice questions. Accompanying text for the slides in this lesson can be found on pages 2 through 7 in the textbook:

ULTRASOUND

Sound Wave Production

SOUND

CATEGORIES OF SOUND INFRASOUND (subsonic) = below 20 Hz AUDIBLE SOUND = 20 Hz to 20 khz ULTRASOUND = above 20 khz

MEDICAL DIAGNOSTIC ULTRASOUND ABOVE 1 MHz

SOUND VELOCITY STIFFNESS (velocity increases with stiffness) DENSITY (velocity decreases with density)

SOUND VELOCITIES Material Meters per second Air 330 Pure Water 1430 Fat 1450 Soft Tissue 1540 Muscle 1585 Bone 4080

SOUND VELOCITIES STIFFNESS OF MEDIUM DENSITY OF MEDIUM SOUND VELOCITY Increase Increase Decrease Decrease Increase Decrease Decrease Increase

PIEZOELECTRIC EFFECT TRANSMIT electrical energy to mechanical energy RECEIVE mechanical energy to electrical energy

RESONANT FREQUENCY The fundamental frequency of a transducer

RESONANT FREQUENCY PIEZOELECTRIC ELEMENT THICKNESS RESONANT FREQUENCY Increase Decrease Decrease Increase

PIEZOELECTRIC CERAMICS lead zirconate titanate barium titanate lead metaniobate lead titanate

PIEZOELECTRIC EFFECT Electrical energy Mechanical energy

PIEZOELECTRIC EFFECT Electrical energy Mechanical energy

PIEZOELECTRIC EFFECT Electrical energy Mechanical energy

LONGITUDINAL WAVE PROPAGATION

WAVE PARAMETERS

WAVE PARAMETERS

WAVE PARAMETERS AND EXAMPLES Period = 1 Frequency Wavelength = Velocity Frequency Pulse Duration = Period x Number of Cycles Spatial Pulse Length = Wavelength x Number of Cycles DAMPING FREQUENCY PERIOD WAVELENGTH NUMBER OF CYCLES PULSE DURATION SPATIAL PULSE LENGTH Increase Decrease Decrease Decrease Decrease Decrease Increase Increase Increase Increase Increase Decrease Decrease Decrease Decrease Increase Increase Increase The number of cycles in a pulse is not the same as the frequency of the sound, which is the number of cycles per unit time that a transducer, which is operating continuously, is designed to produce.

SAME DAMPING & AMPLITUDE DIFFERENT FREQUENCY & PHASE Frequency = 5.0 MHz Number of Cycles = 3 Period = 0.2 µs Pulse Duration = 0.6 µs Wavelength = 0.308 mm Spatial Pulse Length = 0.924 mm Frequency = 2.5 MHz Number of Cycles = 3 Period = 0.4 µs Pulse Duration = 1.2 µs Wavelength = 0.616 mm Spatial Pulse Length = 1.848 mm 3-cycle pulse shorter periods shorter wavelengths shorter pulse duration shorter spatial pulse length 3-cycle pulse longer periods longer wavelengths longer pulse duration longer spatial pulse length

SAME FREQUENCY, AMPLITUDE, & PHASE DIFFERENT DAMPING Frequency = 5.0 MHz Number of Cycles = 3 Period = 0.2 µs Pulse Duration = 0.6 µs Wavelength = 0.308 mm Spatial Pulse Length = 0.924 mm Frequency = 5.0 MHz Number of Cycles = 4 Period = 0.2 µs Pulse Duration = 0.8 µs Wavelength = 0.308 mm, Spatial Pulse Length = 1.232 mm 3-cycle pulse same periods same wavelengths shorter pulse duration shorter spatial pulse length 4-cycle pulse same periods same wavelengths longer pulse duration longer spatial pulse length

SAME FREQUENCY & DAMPING DIFFERENT AMPLITUDE & PHASE Frequency = 5.0 MHz Number of Cycles = 4 Period = 0.2 µs Pulse Duration = 0.8 µs Wavelength = 0.308 mm Spatial Pulse Length = 1.232 mm Frequency = 5.0 MHz Number of Cycles = 4 Period = 0.2 µs Pulse Duration = 0.8 µs Wavelength = 0.308 mm Spatial Pulse Length = 1.232 mm 4-cycle pulse same periods same wavelengths same pulse duration same spatial pulse length 4-cycle pulse same periods same wavelengths same pulse duration same spatial pulse length

DAMPING vs. BANDWIDTH DAMPING Increase Decrease BANDWIDTH Increase Decrease

HIGH DAMPING vs. NO DAMPING SAME FREQUENCY. DIFFERENT DAMPING Center frequency = 5.0 MHz Range = 3.75 MHz to 6.25 MHz Number of Cycles = 2 Bandwidth = 2.5 MHz Center frequency = 5.0 MHz Range = 4.9 MHz to 5.1 MHz Continuous Wave Bandwidth = 0.2 MHz Pulse-echo Damped Wide Bandwidth CW Not damped Narrow Bandwidth

Answers to the following ELEVEN practice questions were derived from material in the textbook:

Question 1 Ultrasound waves that are traveling through a medium consist of: compressions and refractions condensations and refractions electromagnetic and ionizing frequencies compressions and rarefactions Pages 2 and 5

Question 1 Ultrasound waves that are traveling through a medium consist of: compressions and refractions condensations and refractions electromagnetic and ionizing frequencies compressions and rarefactions Pages 2 and 5

Question 2 What is the difference between audible sound and ultrasound? Audible sound waves are ionizing Audible sound has a higher frequency Ultrasound has a higher frequency Ultrasound waves are ionizing Page 2

Question 2 What is the difference between audible sound and ultrasound? Audible sound waves are ionizing Audible sound has a higher frequency Ultrasound has a higher frequency Ultrasound waves are ionizing Page 2

Question 3 A piezoelectric element produces a voltage when: Sound velocity changes an acoustic pressure is present on its surface the receiver gain is increased the attenuation increases Page 3

Question 3 A piezoelectric element produces a voltage when: Sound velocity changes an acoustic pressure is present on its surface the receiver gain is increased the attenuation increases Page 3

Question 4 A decrease in the thickness of a piezoelectric element will result in: a greater pulse duration an increase in the propagation speed an increase in the frequency of the transducer a higher duty factor Page 3

Question 4 A decrease in the thickness of a piezoelectric element will result in: a greater pulse duration an increase in the propagation speed an increase in the frequency of the transducer a higher duty factor Page 3

Question 5 The resonant frequency of an ultrasound transducer is dependent on: damping the backing material the thickness of the piezoelectric element the amplitude of the voltage applied to the transducer Page 3

Question 5 The resonant frequency of an ultrasound transducer is dependent on: damping the backing material the thickness of the piezoelectric element the amplitude of the voltage applied to the transducer Page 3

Question 6 What does A, B, and C represent on the graph? amplitude, period, wavelength pulse duration, duty factor, amplitude wavelength, duty factor, pulse duration period, wavelength, velocity Pages 5 and 6

Question 6 What does A, B, and C represent on the graph? amplitude, period, wavelength pulse duration, duty factor, amplitude wavelength, duty factor, pulse duration period, wavelength, velocity Pages 5 and 6

Question 7 If the frequency is doubled, the: period will double lateral resolution will be poorer wavelength will double wavelength will be one-half Pages 5 and 6

Question 7 If the frequency is doubled, the: period will double lateral resolution will be poorer wavelength will double wavelength will be one-half Pages 5 and 6

Question 8 The average speed of ultrasound in soft tissue is closest to: 330 m/sec 1450 m/sec 1540 m/sec 4080 m/s Page 2

Question 8 The average speed of ultrasound in soft tissue is closest to: 330 m/sec 1450 m/sec 1540 m/sec 4080 m/s Page 2

Question 9 If the frequency is doubled, the propagation speed is: quadrupled doubled halved unchanged Pages 2 and 3

Question 9 If the frequency is doubled, the propagation speed is: quadrupled doubled halved unchanged Pages 2 and 3

Question 10 The propagation speed is highest in: bone tissue fat water Pages 2 and 3

Question 10 The propagation speed is highest in: bone tissue fat water Pages 2 and 3

Question 11 A single pulse of ultrasound from a transducer: contains a range of frequencies does not result from damping has a narrow bandwidth contains continuous waves Page 7

Question 11 A single pulse of ultrasound from a transducer: contains a range of frequencies does not result from damping has a narrow bandwidth contains continuous waves Page 7

END OF LESSON 02 For information on the accompanying textbook, visit the Website: www.sonicorinc.com