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I.C

Physical Principles of Ultrasound

42 cards

Notes

Sound waves

  • Sound is a mechanical, longitudinal wave (particles vibrate in the direction of propagation). It cannot travel through a vacuum.
  • Comprised of compressions (↑ pressure/density) and rarefactions (↓ pressure/density).
  • Ultrasound = any wave with frequency > 20,000 Hz (20 kHz). Audible sound = 20 Hz–20 kHz. Infrasound < 20 Hz.

Basic parameters

ParameterSymbolUnitsDetermined bySonographer adjusts?
PeriodTμsSourceNo
FrequencyfHz (MHz for transducer, kHz for Doppler)SourceNo
WavelengthλmmSource and mediumNo
Propagation speedcm/sMedium onlyNo
Amplitude / power / intensity-dB / W / W·cm⁻²Source (initially)Yes
  • Period and frequency are reciprocals; higher f → shorter T.
  • Frequency and wavelength are inversely related in a given medium.
  • Higher f → better axial resolution but less penetration.

Propagation speed

  • Soft-tissue average: 1540 m/s (= 1.54 mm/μs).
  • Depends on medium's density and stiffness. Stiffness ∝ speed; density ∝ 1/speed.
  • All frequencies travel at the same speed in a given medium.
  • Fastest → slowest: bone (2000–4000) > soft tissue (1540) > fat (1450) > lung (300–1200) > air (330). Rule of thumb: solid > liquid > gas.
  • Wavelength (mm) in soft tissue = 1.54 / f (MHz).

Amplitude, power, intensity

  • Amplitude = height of the wave (dB).
  • Power ∝ amplitude²; intensity ∝ amplitude².
  • Doubling US power quadruples intensity.
  • dB = 20 · log(A_measured / A_reference).
  • 6 dB change = doubling (or halving) of amplitude. 40 dB change = 100× amplitude difference.

Acoustic impedance

  • Z = density × propagation velocity (ρ × c).
  • Lung has low density + slow c; bone has high density + fast c.
  • Reflection depends on the difference in acoustic impedance at an interface.
  • Optimal reflection when beam is perpendicular to interface.

Wave–tissue interactions

  • Reflection - best when perpendicular; if beam is parallel to the interface, "dropout" (little/no reflection back).
  • Scattering - radiation of ultrasound in multiple directions; occurs with structures smaller than λ (e.g. RBCs). Depends on particle size, hematocrit, transducer frequency, and RBC/plasma compressibility. Produces speckles.
  • Backscatter (a diffuse form of reflection) is the major source of information used to build the 2-D image because it returns energy in many directions.
  • Refraction - deflection of US at an interface between tissues with different acoustic impedance. Causes double-image artifacts.
  • Attenuation - loss of signal strength with depth; depends on transducer frequency, tissue attenuation coefficient, distance from transducer, and initial intensity. Absorption is the most common mechanism. Lower-frequency transducers penetrate deeper.

Pulsed ultrasound (from Ch. 2)

  • Imaging requires pulsed ultrasound. CW cannot form anatomic images (it's used for Doppler).
  • A clinical pulse is 2–4 cycles.
  • Pulse duration (PD) = # cycles × period. Typically 0.5–3 μs. Not changed by sonographer.
  • Spatial pulse length (SPL) = # cycles × wavelength. Typically 0.1–1 mm. Determined by both source and medium. SPL determines axial resolution.
  • Pulse repetition period (PRP) = start of one pulse to start of next; includes PD + listening time. Determined by imaging depth. Deeper imaging → longer PRP.
  • PRF = pulses per second (kHz). Inverse of PRP. Determined by imaging depth. PRF is not the transducer frequency. As depth ↑, PRF ↓.
  • Duty factor = fraction of time transmitting. Unitless, typically < 1%. CW = 100% duty factor.

Range equation / 13 μs rule

  • Time for one round trip in soft tissue: 13 μs per cm of depth.
  • PRP (μs) = 13 × depth (cm).
  • PRF (Hz) = 77,000 / depth (cm).

Time-gain compensation (TGC)

  • Corrects for attenuation by amplifying returning echoes as a function of depth.
  • Default preset: decrease signal in the near field, increase in the far field.

Aperture and beam

  • Aperture = transducer face surface.
  • Larger aperture → tighter (more focused) beam; smaller aperture → better angulation.

Resolution (preview - full detail under I.F)

  • Axial resolution - along beam; best. Improved by short SPL (high f, few cycles).
  • Lateral resolution - perpendicular to beam; better with focused (narrow) beams.
  • Temporal resolution - related to frame rate, PRF.
  • Contrast resolution - ability to distinguish tissues of similar echogenicity.

Bioeffects

  • Thermal - from absorption of acoustic energy; risk higher with higher intensity, longer dwell time.
  • Non-thermal (mechanical) - cavitation (gas bubble formation and collapse).
  • Guiding principle: ALARA (As Low As Reasonably Achievable).

Cards

  • basicI.C-001
    Sound is what kind of wave?
    Mechanical, longitudinal wave. Particles vibrate along the direction of propagation. Cannot travel through a vacuum.
  • clozeI.C-002
    Ultrasound is defined as any sound wave with a frequency greater than 20,000 Hz (20 kHz).
  • basicI.C-003
    Which parameter of a sound wave is determined by BOTH the source and the medium?
    Wavelength (λ). Period and frequency are set by the source; propagation speed is set by the medium; wavelength depends on both.
  • clozeI.C-004
    Average speed of sound in soft tissue is 1540 m/s (= 1.54 mm/μs).
  • basicI.C-005
    What two properties of the medium determine propagation speed?
    Density and stiffness. Speed increases with stiffness and decreases with density.
  • basicI.C-006
    Rank propagation speed: bone, air, fat, soft tissue, lung.
    Bone (2000–4000) > soft tissue (1540) > fat (1450) > lung (300–1200) > air (330 m/s).
  • clozeI.C-007
    In soft tissue, wavelength (mm) = 1.54 / frequency (MHz).
  • basicI.C-008
    Does propagation speed depend on the sound wave's frequency?
    No. All frequencies travel at the same speed through a given medium. Speed depends only on the medium.
  • basicI.C-009
    High-frequency transducers give what trade-off in image quality?
    Better axial resolution but less depth of penetration. Low-frequency transducers give the opposite.
  • clozeI.C-010
    Intensity is proportional to amplitude², so doubling the amplitude quadruples the intensity.
  • basicI.C-011
    How many dB corresponds to a doubling (or halving) of signal amplitude?
    6 dB. (20 · log 2 ≈ 6.)
  • basicI.C-012
    How many dB corresponds to a 100× difference in amplitude?
    40 dB. (20 · log 100 = 40.)
  • clozeI.C-013
    Acoustic impedance Z = tissue density × propagation velocity (ρ × c).
  • basicI.C-014
    What determines the amount of ultrasound reflected at a tissue interface?
    The difference in acoustic impedance between the two tissues, and the angle of incidence (best reflection when beam is perpendicular).
  • basicI.C-015
    What causes ultrasound 'dropout'?
    The beam is parallel (not perpendicular) to the tissue interface, so little or no signal reflects back to the transducer.
  • basicI.C-016
    What phenomenon produces speckle in the image?
    Scattering — radiation of ultrasound in multiple directions from structures smaller than the wavelength (e.g., red blood cells).
  • basicI.C-017
    What is the major source of ultrasound information used to build a 2-D image?
    Backscatter (a diffuse form of reflection). Because it redirects sound in many directions, some energy always returns to the transducer.
  • basicI.C-018
    What is refraction and what artifact does it cause?
    Deflection of the ultrasound beam at an interface between tissues of different acoustic impedance. Causes double-image (edge-duplication) artifacts.
  • basicI.C-019
    What is the most common mechanism of ultrasound attenuation in tissue?
    Absorption. Attenuation also depends on transducer frequency, the tissue's attenuation coefficient, and distance from the transducer.
  • basicI.C-020
    What is Time Gain Compensation (TGC)?
    An adjustment that amplifies returning signals more with increasing depth, compensating for attenuation. Default preset: less gain near-field, more gain far-field.
  • clozeI.C-021
    A typical clinical ultrasound pulse contains 2–4 cycles.
  • basicI.C-022
    Can imaging be performed with continuous-wave (CW) ultrasound?
    No. Anatomic imaging requires pulsed ultrasound (the system must alternate transmit and listen). CW is used for Doppler.
  • clozeI.C-023
    Pulse duration (μs) = number of cycles × period. Typical clinical value 0.5–3 μs.
  • clozeI.C-024
    Spatial pulse length (mm) = number of cycles × wavelength. Determines axial resolution.
  • basicI.C-025
    What determines the pulse repetition period (PRP) and PRF?
    Imaging depth. Deeper imaging → longer PRP and lower PRF. The sonographer changes only the listening time, not the pulse duration.
  • basicI.C-026
    Are PRP and PRF related to transducer frequency?
    No. PRP/PRF are set by imaging depth, not by transducer frequency. They are reciprocals of each other.
  • clozeI.C-027
    Round-trip time for a pulse in soft tissue = 13 μs per cm of depth.
  • clozeI.C-028
    For imaging depth d (cm) in soft tissue: PRP (μs) = 13 × d and maximum PRF (Hz) = 77,000 / d.
  • basicI.C-029
    What is duty factor?
    The fraction (or %) of time the transducer is transmitting sound. Unitless. Typically < 1% in imaging. CW = 100%; a system that is off = 0%.
  • basicI.C-030
    What does a larger transducer aperture do to the beam?
    Produces a more focused (narrower) beam. A smaller aperture allows better angulation.
  • basicI.C-031
    Which parameter of a pulse is most improved by using a shorter pulse (short SPL)?
    Axial resolution. Shorter SPL → better ability to resolve two closely spaced structures along the beam axis.
  • basicI.C-032
    What two categories of bioeffects can ultrasound cause?
    Thermal (heating from absorption) and non-thermal / mechanical (cavitation — bubble formation and collapse).
  • basicI.C-033
    What safety principle governs ultrasound exposure?
    ALARA — As Low As Reasonably Achievable. Use the lowest power and shortest exposure needed for diagnosis.
  • clozeI.C-034
    Increasing the transmitted power increases the amplitude of reflected US signals and can produce bioeffects at excess levels.
  • basicI.C-035
    What is 'axial' resolution and what determines it?
    Ability to distinguish two reflectors along the beam axis (in the direction of beam travel). Determined by SPATIAL PULSE LENGTH — shorter SPL = better axial resolution. Achieved with higher-frequency transducer or fewer cycles per pulse.
  • basicI.C-036
    What is 'lateral' resolution and what determines it?
    Ability to distinguish two reflectors perpendicular to the beam axis. Determined by beam width, which is narrowest in the focal zone. Larger aperture and dynamic focusing improve lateral resolution.
  • basicI.C-037
    State the range of typical ultrasound frequencies used for cardiac imaging.
    2–5 MHz for adult TTE (better penetration for deeper structures). 5–10 MHz for TEE and pediatric echo (closer targets, better resolution). Higher frequencies used for vascular imaging (7–15 MHz).
  • basicI.C-038
    How does duty factor differ between imaging and CW Doppler?
    Imaging (pulsed): duty factor < 1% (mostly listening). CW Doppler: duty factor = 100% (continuous transmission). CW cannot form anatomic images because it never stops transmitting.
  • basicI.C-039
    How does frequency affect penetration and axial resolution?
    HIGHER frequency: BETTER axial resolution but WORSE penetration (more attenuation). LOWER frequency: WORSE axial resolution but BETTER penetration. Trade-off is fundamental to transducer selection.
  • basicI.C-040
    What is the piezoelectric effect?
    A property of certain crystals (PZT) that converts mechanical stress (pressure waves) to electrical voltage AND converts electrical voltage to mechanical vibration. This is how ultrasound transducers both send and receive sound.
  • basicI.C-041
    State the average acoustic impedance of soft tissue and its formula.
    Z = ρ × c (density × propagation velocity). Soft tissue Z ~1.63 × 10⁶ kg/(m²·s). Reflection at an interface depends on the DIFFERENCE in Z between two tissues.
  • basicI.C-042
    What safety metric considers cumulative ultrasound exposure to a patient?
    The 'Output Display Standard' shows MI (mechanical index) and TI (thermal index) in real time on the machine. MI = peak rarefactional pressure / √(f). TI = ratio of transmitted acoustic power to power needed to raise tissue temperature by 1°C.