Physics Flashcards
Specular reflection
Mirror-like
Structures >1 wavelength in diameter
Angle of incidence = angle of reflection
Specular reflection and frequency
Independent of frequency
Diffuse reflection
Omnidirectional
Structures <1 wavelength in diameter
Frequency dependent, more scattering with higher frequency
Interference
Algebraic sum of wave amplitude
Speckle
Noise in US images produced by interference pattern from multiple small reflectors (scatterers)
Refraction
Bending of wavefront as sound passes between media with different propagation velocities
Snell’s law
Snell’s law
Sin Angle I / Sin angle T = V I / V T
Diffraction
Spreading or divergence of sound beam
Greater with smaller source
Absorption
Sound energy converted to other forms of energy like heat
Attenuation
Loss of intensity as sound wave passes through medium
Soft tissue attenuation
0.5-1.0 dB/cm/MHz
Resonance
Air bubbles resonate within ultrasound field, ring like a bell
Persistent oscillation produces continued ultrasound signal
Nonlinear behavior
Distortion of sound wave by interaction with media
Can be described as sum of sine waves at frequencies that are multiples of principle frequency (harmonics)
Harmonics generated strongly by
Microbubbles
Compression and expansion not equal
Harmonic generated weakly by
Tissue
Velocity of sound higher during compression than rarefaction
Transducer components
Piezoelectric crystal
Backing block
Quarter-wavelength matching layer
Piezoelectric crystal
Vibrates with applied current, most efficient at resonant frequency
Transmitter and receiver
Backing block
Limits ringing of crystal to create discrete US pulses
Quarter-wavelength matching layer
Provides better acoustic impedance matching between crystal and skin
Mechanical transducer
Controlled movement of single element to produce 2D image
Phase array transducer
Multiple crystal elements to produce 2D or 3D image
Narrow bandwidth transducer
High Q factor
Crystals allowed to ring freely
More efficient / sensitive
Wide bandwith transducer
Low Q factor Wide range of frequencies sent and received Backing block, crystal impurities Short pulses Facilitates harmonic imaging
Continues imaging
Continuous
Separate send and receive transducers
CW doppler
Pulsed imaging
Single transducer alternately sends and receives
PW doppler
Grayscale imaging
Colorflow imaging
Colorflow pulsed imaging methods
Autocorrelation method
Time domain method
Colorflow autocorrelation method
Compares frequency differences from sequential pulses
Colorflow time domain method
Measures distance objects move between pulses separated in time by PRP
Velocity = change in distance./ PRP
Pulse repetition period
Time between pulses
Directly related to imaging depth
PRP Equation
PRP = depth * speed of sound
Pulse repetition frequency
Inversely related to PRP and imaging depth
PRF Equation
PRF = 1 / PRP
Duty factor
Fraction of PRP that transducer is emitting sound
CW doppler duty factor
1
Pulsed techniques duty factor
<1 (usually 0.001 to 0.01)
Duty factor equation
Pulse duration(s) / PRP (s)
Pulse duration
Time from start of a pulses to end of a pulse
Second harmonic imaging
Single sent out at nominal frequency, filter processes signals returned at 2f which are displayed as image
Types of resolution
Temporal
Contrast
Spatial
Temporal resolution
Ability to see object as it moves over time
How often you can see something
Temporal resolution determined by
Fram rate (frames / sec)
Depth
Line density
Use of multiple beam formers increase frame rate
Improving temporal resolution
Decrease image depth
Decrease image display width
Decrease # of focal points
Decrease line density
Contrast resolution
Ability to see differences in gray scale
Contrast resolution dependent on
Intrinsic properties Frequency Gain Compression Color
Types of spatial resolution
Axial
Lateral
Axial resolution
Discern two objects in line of US beam
Axial resolution determined by
Spatial pulse length (set by manufacturer)
Axial resolution improved by
Higher frequencies
Fewer cycles
Axial resolution equation
(Cycles x wavelength) / 2
Lateral resolution
Discern two objects across image
Lateral resolution better with
Narrower beam
Use of focal point, near field
Ultrasound beam focusing
Mechanical beam focusing
Electronic beam focusing
Multiple focal zones
Mechanical beam focusing
Fixed, acoustic lenses, shaped crystals
Electronic beam focusing
Dynamic, delay in firing central elements
Multiple focal zones
Separate scan lines for each zone, images electronically spliced
Poor frame rate
Side lobes
Single element adjacent to main beam
Grating lobes
Phased array lobes adjacent to main beam
Echo ranging
Distance of object from transducer determined by time of flight and velocity (assumed 1540 m/s)
Echo ranging equation
d = 1/2t * v
Echo ranging 1 cm
13 usec
Transducer Output Power
Energy put out by machine (MI or dB)
Higher transducer output power =
better signal to noise ratio
destroy contrast bubbles
Amplification
Received signals made larger or smaller to optimize appearance
Noise and signal amplified
No effect on signal to noise ratio or bubbles
Gain compensation
Corrects amplification for signal loss due to depth related attenuation (time-gain compensation)
or unequal signal strength across image (lateral-gain compensation)
Compression
First information into display’s capacity
Reject
Filters low or high intensity signal to improve image quality
Wavelength
Distance between wave peaks
Frequency (f) =
Number of waves / s (Hz)
Ultrasound frequency
Above audible range (>20,000 Hz)
Diagnostic US frequency range
1-20 MHz
Velocity of sound
Varies with density and compressibility of medium
Average soft tissue velocity of sound
1540 m/s
Wave equation
Velocity = frequency x wavelength
Wavelength of 3 MHz sound
0.5. mm in soft tissue
Frequency and wavelength
Higher f = shorter wavelength
Ultrasound signal strength
Ampltiude
Power
Intensity
Amplitude
Difference between max and min value of wave
Power
Total energy produced each second (watts)
Intensity
Power / cross-sectional beam area (W / cm2)
Decibel (dB)
Units for describing difference between US intensities
dB equation
dB = 10 log (I / I0) I = measured intensity I0 = defined reference intensity
3 dB change
Doubling in intensity
30 dB change
1000 fold change in intensity
100 d change
10^10 times more intense
Mechanical index
Measure of potential to produce cavitation (formation f bubbles)
MI equation
MI = peak negative pressure / sqrt(f)
Bubbles destroyed when MI
> 1
Harmonic signals weak when MI
<0.1
Acoustic impedance
Product of density (p) and velocity of sound (v) in medium
Differences between acoustic impedances directly related to % reflection
Z = p v
Nyquist Limits (DF)
Highest doppler shift (velocity) that can be measured with pulsed doppler
Nyquist Limit equation
DF = PRF / 2
Higher Nyquist limit
Shallower depth
Lower frequency
Velocities above Nyquist limit
Alias or wrap around, displayed as opposite direction
Doppler effect
Frequency shift caused by relative motion between source and target
Doppler shift increased by
Velocity of sample relative to source
Interrogation angle
Frequency of source
Doppler shift decreased by
Velocity of sound in the medium
How to raise nyquist limit
Decrease depth
No effect of sector width or range gate size
How to decrease doppler frequency shift
Reduce transducer frequency (f0)
Frequency means
Number of time particle in conducting medium vibrates per unit time
Frequency vs period
Frequency = 1 / period
Tissue with fastest loss of strength
Lung
Materials that respond to acoustic waves and generate electrical signals
Piezoelectric crystals
Doppler angle
Angle between the direction of flow and the ultrasound beam
Doppler effect, higher frequency / pitch
Object moving towards you
Positive doppler shift
Reflector moving so that angle between transmitted beam and direction of flow > 90 degrees
Doppler shift of 0
Reflector is stationary or moving in direction perpendicular to the beam
Time gain compensation corrects for different media…
Attenuation
Attenuation is sum of
Scattering
Absorption
Reflection
Strength of transmitted sound wave controlled by
Power control
Control for what extent received signal is amplified
Gain control
Compression
determines dynamic range of received signals used to create image
Spatial resolution means
Smallest distance between two objects that allows distinction between them
Spatial resolution =
Size of a pixel in the relevant direction
Temporal resolution definition
Shortest time between two events that allows distinction between them
Shortest duration of event that can be detected
Temporal resolution =
inverse of frame rate
Dynamic range adjusted by
Compression control
Frequency and depth
Higher frequency = smaller depth
Increase to compensate for attenuation
Gain
Decreasing what = better contrast
Dynamic range / compression
Ghosting artifact
When imaging higher velocity regions, movement of cardiac structures produces low velocity signals which appear as color
Removes ghosting artifact
Filtering
Time gain compensation and depth
Decreases signal in near field, increases in far field
Better assess rapid structures
Higher frame rate
Narrowing sector
Decreasing depth
Decreasing aliasing
Baseline shift away from direction of flow
Persistence
Images averaged together to create smoothing effect
Lower = better temporal resolution
Image resolution improved by
Increase the write zoom
Reducing sector width
Changing focal point
Increasing line density effect
Improves spatial resolution
Decreases frame rate and temporal resolution
Higher frequency and spatial resolution
Better spatial resolution
Increase frame rate by
Decreasing depth
Reducing sector angle
Reducing sector angle
Reduces scan lines -> higher frame rate
M mode features
US reflections along single line over time
Higher temporal resolution
Simultaneous visualization of structures
Spectral doppler features
Displays power spectrum of velocities along single line over time
Rationale for echo contrast
Increased reflection by added gas-liquid interface
Acoustic shadowing with contrast
Increased attenuation by contrast filled cavity
Higher sweep speed
Detailed time estimates
Lower sweep speed
Multicycle events like respiratory variation
Higher harmonics ->
Reduces near field, enhances far field
Smoothing
Averaging adjacent pixels to create a smoother image