Ultrasound Physics Flashcards
Sound is a traveling variation in ______.
Pressure
Sound involves ______ motion in the medium through which it travels.
Mechanical
What are the 3 acoustic variables?
Pressure
Density
Particle vibration
- they are the quantities that vary in a sound wave
What are rarefactions & compressions?
Rarefactions = regions of low pressure & density
Compressions = regions of high pressure & density
What is density?
Density = concentration of matter (mass per unit volume)
Sound is a _______, _________ wave in which back-and-forth particle motion is parallel to the direction of travel
Mechanical, longitudinal
If the up and down motion of a water surface is perpendicular to the direction of wave travel it is what type of wave?
Transverse or shear wave
What is the definition of frequency? And what is it’s unit?
Freq = # of cycles that occur in 1 second
Hertz (1 Hz =1 cycle/sec)
1 kHz = 1000Hz
1 MHz = 1,000,000Hz
The positive and negative halves of a pressure cycle correspond to what, respectively?
Regions of compression & rarefaction
(Higher pressure = denser medium & vice versa)
What is the definition of period? And what is it’s unit?
Period = time it takes for 1 cycle to occur
Common unit for period = microseconds ( 1 microsecond = 0.000001 second) e.g. the period for 5MHz U/S = 0.2 microseconds
What is the equation for period?
T (period in microseconds) = 1/ freq (Mhz)
If the period decreases, what happens to freq?
If period decreases –> freq increases.
If freq inc –> period dec
What is the definition of wavelength? what is the common unit of wavelength?
Wavelength = length of SPACE/DISTANCE that 1 cycle takes up
Aka the length of cycle from front to back
Millimeters (1 mm = 0.001m)
For a propagation speed of 1.54 mm/s and a freq of 5MHz, what is the wavelength?
0.31mm
(Eq:: wavelength = propagation speed [mm/us] / freq [MHz])
What is propagation speed (c)? What is it’s unit?
The speed with which a waves moves through a medium
Units = m/s and mm/microsecond
What is the relationship between wavelength, propagation speed, & freq?
Wavelength = propagation speed (mm/microsecond) / freq (MHz)
If wavelength increases —> freq ________
Decreases
What primarily determines propagation speed?
The medium, specifically it’s stiffness (hardness)
What is stiffness?
Stiffness = resistance of a material to compression
Stiffer media –> HIGHER sound speeds (gas < liquid < solid)
What is the average propagation speed in soft tissues?
1540 m/s or 1.54 mm/microsecond
Shear waves travel ______ in comparison to longitudinal waves.
More slowly
The average propagation speed in fat is approximately what percentage in comparison to soft tissue?
~6% lower
Propagation speed in any medium depends on the ______ and ______ of the medium.
density (p) and stiffness
Density = mass density = mass per unit volume
Stiffness aka hardness or bulk modulus of elasticity (B)
What is the equation to for propagation speed?
c (m/s) = [ B (N/m^2) / density (kg/ m^3) ] ^ 0.5
*In general, stiffness differences dominate the effect on propagation speed more than mass density (therefore solids have higher propagation speeds than liquids)
How does propagation speed affect pressure and therefore the overall wave shape?
Higher pressure portions of the wave travel faster than lower pressure portions –> non sinusoidal shape
What is the term for propagation in which speed depends on pressure & changes wave shape?
Nonlinear propagation
- nonlinear propagation results in additional freq that are even & odd multiples of the fundamental freq ( a continuous - not pulsed - sinusoidal waveform is characterized by a SINGLE freq [this freq equals the # of cycles/second]
- while the shape becomes less sinusoidal, the harmonic become STRONGER
What is pulse repetition freq (PRF)? What is the common unit of measurement?
PRF = # of PULSES that occur in 1 second
kHz ( 1kHz = 1000Hz)
What is the pulse repetition period (PRP)? What is the common unit of measurement?
PRP = time from the beginning of 1 pulse to the beginning of the next
Milliseconds (0.001 seconds)
What is the formula for PRP?
PRP (ms) = 1 / PRF (kHz)
If PRP decreases, what happens to PRF?
PRP decreases while PRF increases b/c when more pulses occur in 1 second, the time between them decreases
What is pulse duration (PD)?
Pulse duration is the time it takes for one pulse to occur
What is pulse duration (PD) equal to? / what is the formula?
PD = period (T, the time for 1 cycle) x # of cycles in the pulse (n)
PD = T (microseconds) x n
- expressed in microseconds
What occurs to PD if the # of cycles is decreased? what about if the freq is increased?
Pulse duration DECREASES if the # of cycles is decreased
Pulse duration DECREASES if the freq is increased (inc freq reduces the period)
Slower pulses _________ image quality
Improve
What is duty factor (DF)?
DF = the fraction of time that pulsed U/S is on
- In CW U/S the DF = 1 (b/c U/S is on 100% of the time)
DF is the _______ of the _____ that the sound is on
fraction; PRP
Higher PRFs —> ______ DF
Increased DF (b/c less listening time between pulses)
What is the effect on DF is the PRF is increased? what is the period is increased?
Inc PRF –> Inc DF
Inc period –> Inc DF
What is the equation for DF?
DF = PD / PRP
DF = PD (microseconds) x PRF (kHz) / 1000 (KHz/MHz)
….this factor of 1000 converts KHz to MHz to be consistent with microseconds of PD
DF for Doppler ultrasound is ______in comparison to sonography?
Higher (0.5 - 5%) b/c of longer PDs
(typical sonography ranges from 0.1-1.0% DF)
What is spatial pulse length (SPL)? What is the unit?
SPL = length of a pulse from front to back
Millimeters (mm)
If freq is increased, what happens to SPL? What if # of cycles increases?
SPL decreases (b/c wavelength decreases with inc freq)
If # of cycles inc –> Inc SPL
The actual # of cycles that occur in 1 second in pulsed U/S depends on the _____.
DF
If the DF is 0.01 and the freq is a 5MHz pulsed wave, what is the actual # of cycles per second?
0.01 DF = 1%
0.01 x 5,000,000 = 50,000 cycles/second
What is bandwidth?
Range of freq contained in a pulse
How does a few # of cycles affect the bandwidth?
Fewer # of cycles = shorter pulses –> higher # of freq = broader bandwidth
What is fractional bandwidth?
Fractional bandwidth = Bandwidth / operating freq
_______ and ______ are indicators of strength of the sound.
Amplitude; intensity
What is amplitude?
Amplitude = maximum variation that occurs in an acoustic variable aka how far a variable gets away from its normal, undisturbed value
What is power?
Power is the rate of at which energy is transferred from one part of a system to another
What is the equation for power? What is the unit of measurement?
Power = Energy transferred / time required to transfer energy
Watts (W) & milliwatts (mW)
What is intensity?
Intensity = the rate at which energy passes through a unit area
What is the equation for intensity? What are the units of measurement?
Intensity = power [mW] / area (over which power is distributed) [cm^2]
Miliwatts per centimeter squared (mW/ cm^2)
What happens to the intensity if the power is increased? Area is increased? Area is decreased?
Inc intensity
Dec intensity (power less concentrated)
Inc intensity (power more concentrated)
Intensity is proportional to __________
Amplitude^2
If amplitude is double, intensity is ________.
Quadrupled
Intensity = Amplitude^2
(and vice versa, if amplitude is halved, intensity is quartered)
Intensity is NOT constant across a sound beam, but is usually highest in the ______ and falls off near the ________. Also, intensity is NOT constant within pulses, but rather starts out _____ and then _______ towards the end of the pulse.
Center; periphery
High; decreases
What is the relationship between temporal average intensity, pulse average intensity, and DF.
I(TA) = I(PA) x DF
As an unfocused sound beam travels through a medium, the _______ and _______ will decrease. This is termed __________.
Amplitude; intensity; attenuation
What is absorption?
Absorption = conversion of sound to heat
Attenuation can occur by what 3 means?
Absorption; reflection; scatter
What is the dominant factor that contributes to attenuation of sound in soft tissues?
Absorption