Canvas Chapter Notes Flashcards
Define a sound wave?
A longitudinal pressure wave travelling at the speed of sound through a medium
Define pressure?
The force exerted from the excess density of molecules above or below the mean density of the medium as molecules get squashed and pulled apart
What is phase of a wave?
A point along the course of one period of the wave expressed as an angle
What is the pulse envelope?
The characteristic shape of the pulse, created by drawing a line through successive peaks and rarefactions
What is a spectrum?
A plot of magnitude against frequency (or time)
What does the spectrum of a sine wave look like?
A single vertical line (only 1 frequency)
What does an indefinitesimally short pulse look like for a) Time Domain and b) frequency domain spectrums?
Time domain = single vertical line
Frequency domain = horizontal line
What is the bandwidth of an infinitely short pulse?
Infinite bandwidth
What happens to bandwidth as pulse length increases?
Bandwidth decreases
How does elasticity relate to stiffness?
Elasticity = 1 / stiffness
Do materials generally differ more in density or stiffness?
Stiffness - therefore stiffness is a better guide to predicting speed of sound than density
How do you calculate speed of sound in a material?
c = Sqrt( k / p)
k = stiffness
p = density
What is characteristic impedance?
The response of molecules in a medium to the excess pressure in the wave (assuming a simple plane wave)
- it is a measure of how fast a molecule in a medium moves in response to the excess pressure of the sound wave
How is acoustic impedance related to energy loss?
It is not
What is intensity of ultrasound?
Power per unit area
What is the frequency domain spectrum of a) short pulse b) long pulse
a) a wider bell-shaped curve
b) a narrow bell-shaped curve
What is the relationship between time domain and frequency domain?
They are reciprocal
What determines the size of an echo at an interface?
Differences in characteristic impedance
What is power?
The rate at which energy is transferred
What is intensity?
Power per unit area
What is specular reflection?
Reflection at a plane interface between two tissues with different acoustic impedance
When does Rayleigh scattering occur?
When sound encounters microscopic structures much smaller than a wavelength
What is a coherent imaging technique?
Where the phase of the waves may be fully specified at each point in space
- lasers and ultrasound are coherent techniques
- light bulbs are not
What do coherent imaging techniques give rise to?
Speckle patterns
What is attenuation?
The process by which intensity of a wave or pulse decreases with distance from the source
- equivalent to resistance
What are boundary losses?
Energy reflected away from the beam at interfaces (specular reflection)
What are the 3 mechanisms that give rise to attenuation?
- Absorption - conversion of sound to heat
- Scattering - energy diverted out of the beam
- Beam divergence - depends on beam shape = spreading out
(not strictly attenuation)
How does attenuation increase with depth?
It increases exponentially
How does frequency impact attenuation?
High frequencies are absorbed and scattered more
What is a point source?
A sound wave source that is much smaller than a wavelength of sound
- it spreads out in all directions
- e.g. when you speak, the wavelength is bigger than the size of your mouth - sound spreads out in all directions
What are plane parallel waves?
Waves that only propagate in one direction
What is the Fresnel Zone?
The Near zone
What is the equation for Fresnel Zone length?
D = a**2 / wavelength
D = length
a = half aperture width
What is the Fraunhoffer Zone?
The far field
What is the equationfor spread in the beam in the far field?
sin(theta) = wavelength / a
a = half aperture width
theta = half the angle of spread
For a square transducer
What is the effect of a large aperture for a given wavelength?
Uniform beam with long near field and small spread in the far field
What is the last axial maximum?
The last central intensity peak within the near field
What are Huygens sources?
Many point sources next to each other - acts as a straight beam at the centre but beams diverge at the edges
What is the unit and symbol for bulk modulus / stiffness?
Pascals (Pa) and Kappa (K)
How does speed of sound relate to density and stiffness?
c = Sqrt(K / p)
K = stiffness
p = density
How does greater density impact speed of sound?
Increased density decreases speed of sound
What is the percentage reflected intensity at soft tissue - soft tissue boundary?
1% or less
What is the percentage reflected intensity at bone - soft tissue boundary?
50%
What is the equation for refraction?
Sin(theta2) / Sin(theta1) = c2 / c1
What is the reflection coefficient and symbol?
Z, is the relative intensity of sound that is reflected at a boundary
What does the angle of refraction depend upon?
Angle of incidence and speed of sound
What is the percentage reflected intensity at air - soft tissue boundary?
100%
When does Rayleigh scattering occur?
When target size «_space;wavelength
What 2 factors impact ISB?
- Pulse length
- Doppler angle
How does frequency of sound relate to scattering and absorption?
Higher frequency = higher scattering and higher scattering = higher attenuation
What is the resonant frequency of a PZT transducer?
The frequency at which it vibrates when a voltage is applied across it
Why is damping of transducers needed?
To create short pulses to give good resolution
What is the purpose of transducer matching layers?
There is a large impedance difference between the hard, rigid PZT and soft body tissue - so transmitted intensity will be low
- matching layer enables sound to be transmitted into the body more efficiently
What are general properties of matching layers
- Impedance between PZT and the body
- 1/4 of a wavelength thick
Why are matching layers 1/4 of a wavelength thick?
The wave reflected at the body interface will have its phase inverted - by having 2 * 1/4 wavelength, the wave will then be reflected by the matching layer in-phase and will superposition
Why do transducers use multiple matching layers?
Each layer has an impedance of the geometric mean of those on either side
- this allows matching over a wider range of frequencies as contained in a short pulse of sound
What are advantages of wide-bandwidth transducers?
- Short pulses = good spatial resolution
- Potential for complex pulse shapes
- Harmonic imaging at higher frequencies possible
- The same transducer can use different frequencies for imaging and Doppler
What characteristics make a good wideband transducer?
(4 reasons)
- Good damping in the backing layer
- Very good matching to body impedance
- PZT thickness chosen for middle of the wideband range
What causes spread in the elevation scan plane?
Beam width - side lobes present in elevation and scan plane
How many dimensions does a basic linear array have?
1
What is a 1.5D array?
The transducer element is divided into 3 in the elevation plane
- this can improve image quality
Why do multiple focal zones reduce frame rate?
Each focus requires a separate transmitted pulse - frame rate doubles with 2 focal zones and triples with 3
What is receive focus?
The receiving shape for echoes coming from different ranges
-is implemented by introducing a receive delay to particular transducer elements
What happens to the shape of the received wave as we add more harmonics?
It gets closer to square in shape
What characteristics of waveforms indicate it is composed of higher harmonics?
Sharply rising/falling edges
What is non-linear propagation?
The concept that the speed of sound at peak pressure is slightly higher than the speed of sound at rarefaction
- peaks more faster than troughs
Why does harmonic imaging give better resolution?
Higher frequency gives better resolution
What are the two ways we can use harmonic information to form an image?
- Using a filter method - remove transmit frequency from the received signal = shorter received pulse
- Pulse inversion method - requires 2 transmit pulses of opposite phase transmitted in sequence. The echoes from the pulse are added together
Improves signal to noise ratio of b-mode and reduces side lobe artefacts and reverberation are reduced
Improves contrast resolution when on
What are the pros and cons of harmonic imaging?
Pros: - better resolution at higher frequency
- removes clutter from the image
Cons: - weaker echoes at 2nd harmonic so penetration is poorer
How are harmonics used in practice?
A combination of second and first harmonics to give overall improvements of image quality without losing penetration
How are modern scanners adaptable?
They can:
- alter the transmit shape
- change the transmit power
- change the timing of pulses
- change the aperture used
These factors can be changed between each pulse - no two pulses need be the same
What does the adaptability of pulses allow?
- Dynamic multi-zone focusing
- Steering
- Coded excitation to improve signal to noise ratio of weak signals
- Control of pulse phase, for harmonic imaging
- Mixed B-mode and Doppler imaging
What is the beam former?
It controls exactly what pulse: shape, timing and phase are produced by each element in the transducer
What are typical PRFs?
1000’s per seconds
Why is TGC needed?
Attenuation
What is analogue to digital conversion?
Converts the analogue amplitude of a returning echo signal to the nearest integer value at set time intervals (bins) - this is then stored as a sequence of numbers
What are the advantages of digitising?
- No further risk of introducing noise or distortion into the signal
- Powerful computing can be done = image processing
- Easy storage in memory
How are raw echoes turned into images
ADC - analogue digital conversion
- often done by digitizing the r.f signal
What is echo signal rectification?
Turning the signal all positive
What is envelope detection?
Rectification and low pass filtering together
How are the dynamic ranges of echoes fitted into the range of the display monitor?
Grey scale mapping / compression
How can non-linear amplification improve image quality?
It can enhance the echoes of interest e.g. low level echoes or mid range echoes
What is compound scanning?
When multiple beams are sent out at different angles = allows more sides of objects to be perpendicular to the beam
What are the 4 main assumptions of ultrasound imaging?
- The speed of sound is constant in the body
- Attenuation in tissue is constant
- The beam axis is straight throughout the range of the beam
- The ultrasound beam is indefinitely thin
When do artefacts occur?
When the assumptions of ultrasound are not met
What are examples of speed of sound artefacts?
- Refraction - causes image distortion
- Axial misplacement
What are examples of attenuation artefacts?
- Poorly adjusted TCG
- Acoustic shadowing
- Post-cystic enhancement
- Poor skin contact
What are some examples of reflection artefacts?
- Mirror Image artefacts
- Reverberation
What are some examples of beam shape artefacts?
Slice thickness artefact
What is the approximate temporal resolution of the human eye?
25 fps
What two factors determine frame rate?
- The number of ultrasound lines / beams
- Depth of image
What is reverberation?
Multiple reflection between parallel surfaces
What is contrast resolution?
The ability to detect one target against another
What is the Doppler shift?
The change in frequency between the transmitted and received soundwaves
Why is there the factor of 2 in the Doppler equation?
There have been 2 Doppler shifts: one on the way out and one on the way back
What is one assumption of the Doppler effect?
The target velocity is much smaller than the speed of sound in tissue
How does sign of velocity change in the Doppler equation?
v is positive for targets moving towards the transducer and negative for targets moving away
What is the cross-over region of a CW transducer?
The sensitive region where transmit and receive beams cross over
What produces high and low Doppler frequencies?
High - flow towards transducer
Low - flow away from the transducer
What algorithm converts from time domain to the frequency domain?
Fourier Transform
How do velocity profiles of slow and fast moving blood differ?
Slow - parabolic flow
Fast - plug flow
What is an advantage of CW doppler?
It can detect very high velocities with no aliasing
What is high PRF mode?
It doubles the PRF and Nyquist limit by creating 2 sample volumes - one at half target depth = can be problematic if there is a vessel here
Why are PW Doppler pulses generally longer (6-7 cycles) than B-mode?
The transmit frequency needs to be well defined in order to accurately detect changes due to moving targets
Why do shorter Doppler pulses (i.e. to look at narrow regions of vessels) causes Doppler frequencies to be less well defined?
Intrinsic spectral broadening (ISB)
- multiple Doppler shifts from varying velocities of blood
- is intrinsic to the machine and cannot be avoided
What is the impact of a highly focused beam on PW spectrum?
The same as a short pulse - ISB
Targets moving across the beam will give Doppler signal whose amplitude rapidly increases and then decreases as target moves across the beam
- Rapidly changing signals produce wide spectrums in the frequency domain
How much can ISB impact velocities?
+/- 10%
Why is an ideal Doppler angle of 45 - 60 degrees used in practice?
< 45 can lead to poor penetration in practice
What is pulsatility index (PI)?
Measure of how pulsatile a waveform is - high for pulsatile, low for damped or resistive
PI = (PSV - EDV) / average of peak envelope
What is resistive index (RI)?
Measure of ratio of EDV to PSV
- High EDV indicates low resistance and gives low RI value
When does waveform ghosting / spectral trace reflection occur?
In very superficial vessels e.g. ankle vessels
- may also occur if the gain is too high
How can weak PW signals be amplified?
Reduce the steer of the beam and heel-toe the probe
What is the difference between side lobes and grating lobes?
Grating lobes are a special type of side lobe
They are both caused by the spreading out of energy from the main beam that is reflected back
- Grating lobes generally have larger amplitudes than side lobes
Does all of the energy stay within the main transducer beam?
No
How do grating lobes appear?
At the wrong location but in the same direction as the main ultrasound beam
How can you practically adjust for attenuation?
Adjust TGC
How can you correct for edge dropout practically?
Turn on CT scanning or compound scanning or heel-toe the probe
When do comet tail artefacts occur?
When there is reflection between 2 very closely spaced reflectors - usually between metallic objects
What is a resonance/ring down artefact?
Used in CEUS - vibration of very small structure e.g. gas bubbles - highly echogenic
What is phase aberration artefact and what may cause it?
It is the same as smearing vaseline on the lens and can be caused by a layer of subcutaneous fat
How can you reduce mis-registration/distortion/phase aberration artefacts in obese patients?
Turn of CT and compound scanning. Turning on tissue harmonic imaging might help
What artefact may cause twin-image artefacts e.g. of aorta?
Refraction
How can refraction artefacts be overcome?
Changing the beam angle
What are the 3 main ways to reduce aliasing?
- Adjust scale
- Decrease depth
- Use a lower frequency probe
How can motion artefacts appearon a spectral trace?
As bright chunks of spectral near the baseline
What does each colour pixel show?
The mean frequency shift/velocity in that area
How many transmission pulses are needed for each colour line?
7 - 10
What impacts frame rate?
Length and width of colour box and line density and depth
How is lateral resolution calculated?
LR = beam width / 2
What is the equation for beam width?
Beam width = wavelength x focal length / aperture size
How is pulse length calculated?
PL = n x wavelength
n = number of cycles
What is greyscale mapping?
Converts the huge range of echo intensities from reflected tissue into 128 or 256 grey scale bins
- can be done in a linear, curved or sigmoidal manner
Do colour or B-mode pulses have wider bandwidth?
B-mode as they have shorter pulses
When do we see display monitor flicker?
When the frame rate is reduced below 25Hz
What is the difference between frame rate and temporal resolution?
Frame rate is the number of frames displayed per second.
Temporal resolution is the ability to CAPTURE motion, does not involve the processing and display
What is the grey level of a spectral waveform?
The number of RBCs that reflect that particular velocity or frequency shift
How does sample volume impact frequency resolution?
Wide SV: long pulse, narrow bandwidth, better frequency resolution
Narrow SV: short pulse, wide bandwidth, worse frequency resolution
What can a small sample volume cause?
Intrinsic Spectral Broadening (ISB)
What is dynamic range?
The ratio of highest to lowest echo strength (voltage)
What does persistence do?
Sends multiple pulses and averages frames - temporal resolution may be an issue
What is autocorrelation?
The processing of a colour image that converts the spectrum of frequency shifts at each point to one value at output
How does autocorrelation work?
It compares the phase from the speckle pattern produced by the ultrasound pulses
Does size or depth of a colour box have a bigger impact on frame rate?
Box size
How can THI improve resolution?
It can improve contrast resolution
- reduces speckle
Why does post-cystic enhancement occur?
The ultrasound machine assumes for constant attenuation. There is very little attenuation in fluid - hence there is over-compensation post-cyst
What is Reynold’s number?
A number that describes when turbulence will occur
Above which Reynold’s numbers will there be turbulence?
> 2000 - 2500
Explain Poiseuille’s law in words?
Resistance to flow depends on the geometry (mainly radius) and viscosity
And a pressure difference will cause fluid to flow in a steady manner
Explain the Bernoulli equation in words?
Energy is conserved - there is no perpetual motion