Ultrasound

This lesson covers: 

  1. The high frequencies used in medical ultrasound imaging
  2. How the amount of wave reflection depends on acoustic impedance
  3. Advantages and disadvantages of ultrasound scanning
  4. The piezoelectric effect and its role in image production
  5. Why a coupling medium is needed
  6. Understanding A-scan range measurements
  7. Interpreting brightness variations in B-scan images
  8. Applying knowledge of the Doppler effect

Frequencies used in medical ultrasound

  • Ultrasound for medical purposes employs longitudinal waves, characterised by frequencies above 20,000 Hz, which are out of the human hearing range.
  • The frequencies for medical ultrasound typically span from 1 to 15 MHz.
  • Upon encountering a boundary between different materials, an ultrasound wave is subject to both reflection and refraction, the exception being when the wave hits at a direct 90° angle.
  • It's the reflected waves that are utilised to create images.

Reflection and acoustic impedance

The acoustic impedance (Z) of a medium quantifies its resistance to the motion of longitudinal waves:


Z = ρc


Where:

  • Z = acoustic impedance (kg m−2 s−1)
  • ρ = density of the medium (kg m−3)
  • c = speed of sound within the medium (m s−1)


When an ultrasound wave travelling in one medium with impedance Z encounters a boundary with another medium of impedance Z', the following occurs:

  • A significant difference between Z and Z' results in greater reflection.
  • Identical impedance values mean no reflection occurs.

The ratio of reflected intensity (Ir) to incident intensity (I) is calculated as:


IIr=(Z2+Z1)2(Z2Z1)2


Where:

  • Ir = reflected intensity (W m-2)
  • I = incident intensity (W m-2)
  • Z2 = acoustic impedance of material 2 (kg m-2 s-1)
  • Z1 = acoustic impedance of material 1 (kg m-2 s-1)

Worked Example - Calculating the reflection intensity

Calculate the ratio of reflection intensity when an ultrasound wave travels from tissue with an acoustic impedance of 1.6×106 kg m-2s-1 to bone with an impedance of 3.8×106 kg m-2s-1.


Step 1: Formula

IIr=(Z2+Z1)2(Z2Z1)2


Step 2: Substitution and correct evaluation

IIr=(1.6×106+3.8×106)2(1.6×1063.8×106)2=0.166


This reflection intensity ratio of 0.166 signifies that 16.6% of the incident ultrasound intensity is reflected back at the interface between tissue and bone.

Advantages and disadvantages of ultrasound

Advantages

  • Safe as it doesn't expose patients to ionising radiation
  • Capable of real-time imaging of soft tissues
  • Economical and portable
  • Allows for patient movement during fast scans


Disadvantages

  • Inability to penetrate bone
  • Imaging is obstructed by air gaps
  • Provides limited detail for solid masses
  • Lacks capability for analysing detected masses

The Piezoelectric effect

Piezoelectric crystals:

  • Produce an electric potential when compressed or stretched, due to charge displacement
  • Change shape upon application of voltage
Diagram showing the piezoelectric effect in a crystal with unstressed, squashed, and stretched states, connected to a voltmeter and electrodes.

These crystals function as receivers of ultrasound waves, converting the generated voltage into images.

Requiring an Imaging coupling material

  • Air's acoustic properties vastly differ from those of body

tissue, leading to nearly complete reflection of ultrasound at the body surface without a coupling material.

  • Gels serve as coupling material by displacing air and matching the impedance of tissue, facilitating effective ultrasound transmission.

A-Scan Range Measurement

In A-scan ultrasound:

  1. Emits short pulses synchronised with a sweep of the CRO electron beam.
  2. Reflections from within the body appear as vertical deflections on the CRO.
  3. Incorporates time-gain compensation to amplify signals arriving later and weaker.
  4. The horizontal sweep of the beam correlates with the time-of-flight, enabling distance measurements within the body.
  5. A sequence of pulses generates a comprehensive image.
Illustration showing the A-scan ultrasound procedure with pulse emission, reflection, detection, and computer-processed image.

B-Scan brightness variations

For B-scans:

  1. The electron beam's downward sweep generates 2D images.
  2. Variations in pulse amplitude determine the brightness of the display.
  3. A transducer array facilitates the scanning process.