Basic Ultrasound Physics

21 – The bayonet sign

The apparent bending of the needle when it crosses from one medium to another (with another acoustic impedance) is an example of refraction due to different propagation velocity in the two media

This is called the Bayonet sign

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The picture shows the Bayonet sign – i.e. the apparent bending of the needle when it crosses the interface between e.g. air and water. The same phenomenon occurs sonographically when a needle crosses the interface between two tissues with different propagation velocities.

10 – Sound-medium interaction

Interaction of sound wave and a medium:

When a sound wave propagates in a medium, the wave and the medium interact in a way that changes the energy and direction of the sound wave.

The categories of interaction are:

– attenuation
– absorption
– penetration
– transmission
– acoustic impedance
– reflection (specular and diffuse)
– refraction
– diffraction

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11 – Attenuation

As a sound wave propagates through a medium, the sound wave loses energy proportional to distance travelled from the source of sound

This energy loss or weakening of the sound wave amplitude is called attenuation of sound. It is mainly due to absorption but also to reflection and dissipation at tissue interfaces

Attenuation of a sound wave is proportional to the frequency of the sound wave and differs among body tissues

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The figure shows that low frequencies are less attenuated than higher frequencies. This means that lower frequencies can penetrate deeper into e.g. soft tissues.

12 – Attenuation coefficient and examples of attenuation

The magnitude of the attenuation is expressed as the attenuation coefficient (AC). High AC (e.g. bone) means that the tissue attenuates the sound wave strongly. AC also varies with the sound wave frequency.

Examples:

When your neighbour downstairs plays music on his stereo, you may hear the low frequency bass but not the high frequency rhythm guitar.

Bone cannot be penetrated by ultrasound due to the high AC for this tissue. This is one of the reasons why structures situated deep to a bone cannot be imaged with ultrasound.

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The table in the upper part shows attenuation coefficients (AC) in different body tissues at 1 MHz ultrasound.
The diagram below shows the association of attenuation and frequency of sound for different body tissues.

14 – Absorption

Absorption is the major cause of energy loss (attenuation) of ultrasound in biological tissue and is due to friction which converts kinetic energy to heat energy (thermal relaxation).

Absorption depends on the tissue type (e.g. the absorption is high in bone and low in fluids) and on the frequency of the sound wave. High frequency causes more absorption.

Absorption accounts for 80% of the attenuation of sound in soft tissues.

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Absorption is not a safety problem. The heat energy is relatively low and dissipates in the tissue. Absorption is only a concern in ophthalmological and obstetrical sonography. The power output from the ultrasound transducer is kept as low as required to generate adequate clinical images.

15 – Transmission and penetration

Transmission

When the sound wave propagates in a medium without striking any interfaces, it passes through the medium without any reflection, scattering or refraction.

In a homogeneous medium the transmission is only reduced by absorption. Even in a heterogeneous medium some of the sound wave is usually transmitted when it strikes an interface.

Penetration

The ability of a sound wave to penetrate through tissue depends on the attenuation. This loss of penetration capacity is proportional to frequency.

Penetration expresses how deep the ultrasound wave can penetrate down into the tissue.

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8 – Sound wave characteristics

Amplitude, wave length, period, frequency, velocity

Waves can be described mathematically with a location-amplitude-coordinate system and a time-amplitude-coordinate system with a sinus curve.

The basic parameters of a harmonic wave are:
• Amplitude (A) = maximum oscillation
• Wave length (?, lambda) = distance from wave top to wave top
• Period (T) = time interval from one wave top at a well defined location until the next wave top gets to the same location
• Frequency (1/T) = number of wave tops per time unit. SI unit for frequency is Hertz (Hz) = s-1
• Velocity (v) = the speed of the wave = lambda/T

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1 – Waves and sound waves

Understanding the basic concepts of wave and sound physics is necessary in order to learn how ultrasound works.

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Illustration of sound pulses

2 – What is a wave?

A wave is an oscillating disturbance of the particles in a medium and the disturbance travels through the medium

A sound wave is an example of such a vibrational or oscillating disturbance propagating (continuing itself) through a medium – e.g. air or water
?A wave is transmission of energy from one location to another

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Different kinds of waves can propagate in a medium like water: ocean waves on the surface of the sea, sun light, seismic waves from earthquakes, and sound waves

3 – What is a medium?

A medium is the substance or material that carries the wave

The medium carries the wave from one point in the medium to another point

A sound wave is transmitted by the vibration of a medium

The medium can be air, water, wood, or any other material

The only place in which sound cannot travel is a vacuum

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When a stone is dropped into a pond, the water molecules are disturbed where the stone hits the surface. The disturbed molecules start oscillating around their original position – they vibrate. The vibration spreads to the neighbouring molecules in the water medium. The vibration is propagated away from its origin.