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Time of flight in ultrasound
The time between pulse creation and echo reception.
Speed of sound in soft tissue
1.54 mm/μs (or 1540 m/s) used in ultrasound systems.
Reflector depth formula
Depth = (1.54 mm/μs × go-return time) / 2.
13 microsecond rule
For every 13 μs of go-return time, the reflector is 1 cm deep.
Pulse Repetition Period (PRP)
The time from the start of one pulse to the start of the next.
PRP and imaging depth relationship
PRP (μs) = Imaging depth (cm) × 13.
Pulse Repetition Frequency (PRF) formula
PRF = 77,000 / imaging depth (cm).
Axial resolution
The ability to distinguish two reflectors that are close together along the beam’s path.
Measurement of axial resolution
Measured in units of distance (mm).
Axial resolution and SPL formula
Axial Resolution = SPL / 2.
Factors that improve axial resolution
Shorter SPL, shorter pulse duration, higher frequency, less ringing.
LAARD acronym purpose
Represents names for axial resolution: Longitudinal, Axial, Range, Radial, Depth.
Axial resolution using wavelength and cycles
Axial Resolution = (Wavelength × # of cycles) / 2.
Axial resolution using frequency and cycles
Axial Resolution = (0.77 × # of cycles) / frequency (MHz).
Transducer function in ultrasound
Converts electrical energy to sound and vice versa.
Piezoelectricity
The ability of a material to generate voltage when deformed.
PZT and its importance
Lead zirconate titanate, a man-made piezoelectric crystal used in ultrasound probes.
Effect of heating PZT above Curie point
It becomes depolarized and loses piezoelectric properties.
Matching layer function in transducer
Matches impedance between PZT and skin to improve sound transmission.
Thickness of the matching layer
0.25 × wavelength.
Thickness of the PZT crystal
0.5 × wavelength.
Role of backing (damping) material
Reduces ringing and shortens pulse duration.
Drawbacks of backing material
Decreased sensitivity, wide bandwidth, low Q-factor.
Q-factor definition
A unitless number representing the ratio of main frequency to bandwidth.
Q-factor of imaging probes
Low Q-factor (wide bandwidth).
Definition of continuous wave (CW) probe
A continuous electrical signal drives the PZT.
Frequency determination in a CW probe
Frequency = electrical signal frequency.
Frequency determination in a pulsed wave probe
Determined by speed of sound in PZT and its thickness.
Effect on frequency if PZT is thinner
Frequency increases.