Ultrasound was a major development in modern medicine, allowing doctors to see in to the human body without the use of ionising radiation. Ultrasound originated in the work of physicists exploring energy propagation by sound waves. Fifteen years before Roentgens discovery of the X-Ray, Pierre and Jacques Curie explained piezoelectricity and developed the principle, which led to the development of ultrasound. In the early 1900’s a group led by Paul langevin experimented with ultrasound to detect submarines. It was not until the late 60’s that ultrasound became a recognised medical tool.
Ultrasound is a very useful tool, but has limitations such as; it cannot scan the following, lungs (because they contain air), bowels (they contain gas and other debris) and bone (ultrasound cannot penetrate bone). Ultrasound has one large advantage over X-Rays, that is that it is totally safe and can be used to scan babies, which is something that cannot be done with X-Rays because it may cause the baby damage as it is still developing.
Ultrasound machine works in the following way:
- The ultrasound machine emits a high frequency sound into your body using a probe. (1-5 megahertz).
- The sound waves travel into your body and hit boundaries between fluids and soft tissue.
- Some of the sound waves are reflected back to the probe, the rest carry on until they reach another boundary, and get reflected.
- The returning sound waves are picked up by the probe, and relayed to the machine.
- The machine then calculates the distance the tissue is away from the probe. It does this by taking the speed of sound in soft tissue to be 1540m/s, and the time the echo takes to return.
- The machine displays this on screen in real time forming an image much like the one shown below. This is another advantage of ultrasound; it works in real time as opposed to X-Rays, which have to be developed.
Ultrasound uses a principal called Piezoelectric, which means pressure electricity. Pierre and Jacques curie discovered this in 1880. The transducer probe (the handheld probe) emits and receives the sound waves; inside the probe there are a number of quartz crystals called piezoelectric crystals. When current is applied to theses crystals they vibrate rapidly, conversely if pressure or sound waves hit them they produce a small electrical current.
This means that the same crystal can be used to send and receive sound waves.
The wavelength of the ultrasound depends on the frequency, and the material through which it’s travelling; this can be related by the following equations.
v=f λ
v= Speed of wave in the material its travelling through.
f= Frequency of the wave.
λ= The wavelength
Light is totally or partially reflected at boundaries, the same thing happens to sound waves; this is what allows ultrasound to work. The more similar the material, the smaller the amplitude of the reflected wave, as compared to the transmitted wave.
Z=pν
v= Speed of wave in the material its travelling through.
Where Z is the acoustic impedance. Measured in kg-2 m s-1.
The intensity of the reflected sound can be given as a fraction of the intensity of the incident beam. It is given by the formula shown below.
Ir =(Z1- Z2)2
Ii (Z1+ Z2)2
The table shown above shows why they put a coupling gel on the ultrasound probe, otherwise it would reflect a lot of the sound, and the sound that didn’t get reflected would be travelling slower. It also shows us why ultrasound cannot travel through bone, it is because it is so dense and the sound would be travelling so fast.
Ultrasound produces moving images shown in real time, it does this as shown in the diagram below. A number of piezoelectric transducers send pulses of sound into the body slightly after the last one; this means you get a focused signal. The transducers can fire at up to 150 times per second. The distance the object is away from the probe can be worked out by the following equation.
s=vt
Where t is the time taken for the sound wave to travel to and from the probe.
S is the distance travelled
v is the velocity of the sound in the particular object, i.e. 330ms –1 in air.
Ultrasound uses a principle called the Doppler effect; this is where the pitch of sound changes with distance, much like when a police car with its siren going passes you. The pitch changes as the vehicle passes, it has a higher pitch as it comes towards you and a lower pitch as it passes you.
Ultrasound makes use of this effect to calculate the speed of objects within the body. When a moving object reflects waves, the frequency of the waves received by a stationary detector differs from the frequency at which they were produced. The diagram below shows why this happens.
This is because, if a source of sound is at rest, between 2 detectors then the wavelength and the detected frequency are the same for the detectors placed at either end. When the source is moving towards one of the detectors the waves will be squashed up on that side producing an decreased wavelength and increased frequency, while spread out on the other side causing an increased wavelength, but decreased frequency.
This is because the source will have moved to a new position by the time it produces each subsequent sound wave, but the waves are always travelling at the same speed. This is also true if the object is just reflecting the sound waves, instead of emitting them.
If the object is moving at a speed slower than that of the wave speed, then the Doppler shift can be given by the equation below.
∆f ≈ u
fem v
U=Speed of the source or detector
V=Speed of wave
∆f= Doppler shift
fem=frequency emitted by source
The equation below links Doppler shift with the source frequency and the frequency of the waves received by the detector.
∆f=fem-frec
∆f= Doppler shift
fem=frequency emitted by source
frec=frequency of the wave received by the detector
In medical science the Doppler effect allows doctors to measure blood flow, as the flowing blood changes the frequency of the returning sound waves.
It is very unusual for blood to be flowing parallel to the ultrasound transducer, which means that the transducer will be at an angle to the blood flow. The Doppler shift depends on the component of the blood velocity parallel to the ultrasound beam.
This means that the equation above must be modified to take into account the angle, as shown in the diagram below.
∆f= 2u fem cosθ
v
∆f= Doppler shift
fem=frequency emitted by source
U=Speed of the source or detector
V=Speed of wave
Cosθ= see diagram below
In the past 2 years, 3D ultrasound machines have been developed; they work on the same principle as ordinary ultrasound. The difference is that they take a number of scans by moving the probe over the body, or rotating a probe in the body, these scans are then combined by a computer to form a 3D image.
The 3D scan is best used for early detection of tumours, to asses the development of a child, and to visualise the blood flow in various organs or a foetus. Below are a few samples of 3D ultrasound.
The main limitation of Ultrasound is the fact that it cannot penetrate bone, or any organs that contain gas. This limits its applications, as it cannot examine the brain, it cannot be used to find breaks in bones, it has to be swallowed to get a good view of the heart (the heart is protected by the sternum). These limitations are not serious as they are covered by other machines, such as X-Rays, CAT scans, and MRI scans.
The future for ultrasound is improving all the time, with smaller and smaller probes almost to the stage where they can be swallowed, to allow doctors a much better view of the patient’s organs, they are also improving 3D ultrasound making it more widespread. They are also developing systems, which incorporate head up displays, which allow the doctor to look around inside the patient.
The Doppler effect allows police to catch speeding motorists, as it is used to by the radar speed traps to measure the Doppler shift in the radio waves reflected of the passing car.
The same principles are also used for radar, i.e. electromagnetic waves are sent out, those, which are reflected back, are received and are used to create a picture of the object.
Active sonar (as used by submarines and fishermen (to find fish)) works on a very simple principle to ultrasound, as “pings” sound waves into the ocean, the sound hits an object an is reflected back to the transducer, where it is amplified. The distance is worked out with the following equation.
Range= (speed of sound (1500ms-1 in water) x travel time)/2
Bibliography
Pennsylvanian state university website www.xray.hmc.psu.edu
Salters Horners advanced Physics Book
www.Howstuffworks.com
Philips research
Jill Maskell. Superintendent radiographer at Broomfield hospital.