314 Q1

ULTRASOUND


1. Ultrasound


- Coined term:

- Greek word Graphene — to write and record

- Latin word Sonus — sound

- A.K.A. sonography

- Uses non-ionizing radiation, exposing POI with very high frequency sound waves.

- Real-time evaluation of soft tissues to rule out something in the POI.


Advantages


- Availability

- Most common modality to be used

- Low cost

- Cheaper from other modalities

- Patient friendliness


Some Applications


- Obstetrics and gynecology

- Urology

- Cardiology

- Internal medicine

- MSK system


ULTRASOUND BASICS


2. Waves


- Oscillation accompanied by a transfer of energy that travels through medium or vacuum.

- Has cyclical variations.


Cycle


- Any sequence of changes in molecular motion.


Propagation


- Transmittal to distant regions remote from the sound source.


Two Kinds of Propagation


- Rarefaction

- Compression

- These form sound waves.


Two Types of Waves


Mechanical Wave


- Needs a medium in order to be transmitted.

- Requires a medium to travel.

- Cannot travel in a vacuum.

- Moves through matter by causing molecules to vibrate successively along their path.

- Carries energy, not matter.

- Travels in straight lines.


Electromagnetic Wave


- Works in both a medium or vacuum.


SOUNDWAVES


3. Sound


- Sound is a mechanical energy that is transmitted by pressure waves through a medium.

- Sound is a mechanical energy that propagates through a medium through compression and rarefaction.


Propagation


- Transmittal to distant regions remote from the sound source.


Types of Sound Waves


Longitudinal or Compression Waves


- Motion of the particles in a medium is parallel to the direction of wave propagation.

- Particles in a medium oscillate in the same direction as the wave.


Transverse or Shear Waves


- Motion of particle in a medium is perpendicular to the direction of the wave propagation.

- Particles oscillate perpendicular to the direction of the wave.


Types of Mechanical Waves


- Longitudinal wave

- Particles in a medium oscillate in the same direction as the wave.

- Transverse wave

- Oscillates perpendicular to the direction of the wave.


Compression and Rarefaction


Compression


- Mechanical deformation

- Increase in pressure

- Positive amplitude of wave

- Compressed particles transfer energy.


Rarefaction


- Occurs after compression.

- Reduction in pressure.

- Negative amplitude of wave.


Series of Compressions and Rarefactions


- Wave front

- Longitudinal wave


Echoes


- Reflections of the incident energy pulse.


Medium of Sound


- Solid

- Liquid

- Gas


Speed of Sound


- Solid > Liquid > Gas

- Sound is transmitted faster in solid than in gas.


ULTRASOUND VS. EMR


- Ultrasound

- Non-ionizing

- Mechanical energy

- Longitudinal waves

- Needs matter in order to be transported

- Cannot travel in a vacuum

- X-ray / EMR

- X-ray is ionizing radiation.

- Electromagnetic wave

- Can travel through a vacuum.

- Can travel through solid, liquid, and gas.


HUYGENS' PRINCIPLE


- All transmitted waves emit smaller wavelengths that also emit sound waves.

- Huygens' principle states that every point in the surface can be modeled as a source emitting ultrasonic waves.


ACOUSTIC VARIABLES


Pressure


- Units of pressure:

- Pascal (Pa)

- N/m²

- atm or atmosphere

- 760 mmHg

- mmHg or millimeter mercury

- kg/m²

- pounds/inches squared

- 14.7 psi or atmospheric pressure at sea level is equal to 100,000 pressure amplitude.

- Formula:

- PA = 1 N/m²

- Diagnostic ultrasound beam:

- 1 MPa


Density


- Mass of the medium per unit volume.

- Concentration of medium particles.


Units


- kg/m³

- g/cm³


Temperature


Units


- Celsius

- Fahrenheit

- Kelvin


Frequency


- Normal audible sound:

- 20 to 20,000 Hz

- Cycles per second

- Infrasound:

- Low-frequency sound below 20 Hz.

- Ultrasound:

- Above 20,000 Hz or 20 kHz.

- Frequency greater than the upper limit of the human hearing range.

- Diagnostic ultrasound:

- 3 to 10 MHz


Particle Motion


- Distance

- Particle motion

- Particle displacement within a wave propagation


PROPERTIES OF SOUND WAVES


Wavelength


- Distance traveled by one cycle.

- Distance between rarefaction and compression.

- Extent of one complete wave cycle.

- Distance between two successive equivalent density zones:

- Two compression zones, or

- Two rarefaction zones.


Units


- mm

- micrometer


Ultrasound Wavelength


- Determined by frequency and speed.

- Determines spatial resolution along the direction of the beam.


Formula


- Wavelength = propagation velocity / frequency


Frequency


- Frequency, or pressure oscillations:

- Number of complete cycles per second.

- Number of cycles or pressure oscillations occurring at a given point in one unit of time, usually one second.


Unit


- Hertz (Hz)


Formula


- f = 1/T


Relationship


- As time increases, frequency decreases.


Period


- Time duration of one cycle.

- Inversely proportional to frequency.

- Elapsed time between compression zones as the wave passes through one point in the medium.


Relationship


- As f increases, T decreases.


Units


- Second

- Microsecond

- Millisecond


Formula


- T = 1/f


Amplitude


- Change in magnitude of physical entity.


Pressure Amplitude


- Caused by particle displacements and pressure variations in the propagation medium.

- Peak, maximum or peak minimum value from the average pressure on the medium.


Unit


- Pa


Formula


- PA = 1 N/m²


PROPAGATION VELOCITY


- Speed at which the pressure wave moves through the medium.

- Also called acoustic velocity.


Formula


- c = wavelength × frequency

- c = bulk modulus / density


Bulk Modulus


- Stiffness of a medium and resistance to compression.

- Build modulus.

- Negative ratio of stress and strain.


Compressibility and Propagation Velocity


- High compressibility → low propagation velocity.

- Gas has the highest compressibility.

- The atoms are widely spaced.

- Stiffness:

- Low stiffness

- High compressibility

- Low stiffness, high propagation velocity.

- This relationship is true if the stiffness is held constant.


Density and Propagation Velocity


- High density → low propagation velocity.

- Because of the law of inertia.


Materials and Their Propagation Velocity


Material| Propagation Velocity

Air| 330 m/s

Lung| 600 m/s

Fat| 1450 m/s

Water| 1480 m/s

Soft tissues| 1540 m/s

Kidney| 1565 m/s

Liver| 1555 m/s

Muscle| 600 m/s

Bone| 4080 m/s


- The speed at which a wave propagates through a medium depends on the compressibility and density of a medium.


OTHER RELEVANT TERMINOLOGIES


Power


- Rate of energy production, absorption, or flow.

- Unit is watt (W).

- 1 watt equals 1 joule of energy per second.

- Energy over time.

- Rate at which ultrasound energy is transmitted or transferred.


Intensity


- Amount of power per unit area.

- The larger the area evaluated, the lower the intensity of the beam.

- Amount of ultrasound power transmitted to an area.

- Proportional to the square of pressure amplitude.


Formula


- I = Power / Area


PHYSICAL PRINCIPLES OF ULTRASOUND


Wave Interference Patterns


Constructive


- Two waves with the same frequency and phase result in a higher amplitude output wave.

- The two interfering waves have a displacement in the same direction.

- Compression lines up with compression.

- Rarefaction lines up with another rarefaction.


Destructive


- Waves out of phase result in a lower amplitude output wave.

- The two interfering waves have a displacement in opposite direction.

- A compression from one wave may coincide with a rarefaction from another.


Complex


- Wave of different frequencies interact, resulting in areas of higher and lower amplitude.

- Waves with different frequencies continuously change their relationship.

- Combination of constructive and destructive.


Summary


- Constructive — combined

- Destructive — diminished

- Complex — changing


Importance


- Destructive, constructive, and complex are the factors why there is a sound wave.

- This forms a non-uniform ultrasound beam.


PIEZOELECTRIC EFFECT


Piezoelectric Effect


- Conversion of electrical energy to mechanical energy.

- It is the transmission of the sound beam.

- Conversion of mechanical energy:

- Receiving the reflected beam information.

- Piezoelectric crystal emits sound waves.

- Ultrasound waves return from the organ.

- Creation of sonogram on screen.


Piezoelectric Materials


- Crystalline materials composed of dipolar molecules.


Natural Materials


- Quartz

- Naturally occurring crystals

- Commonly used

- Tourmaline

- Rochelle salt


Synthetic Materials


- Lead zirconate titanate (PZT)

- Most commonly used synthetic

- Barium titanate

- Lead metaniobate

- Ammonium dihydrogen phosphate

- Lithium sulfate


CONTINUOUS WAVE


- Requires a minimum of two transducer elements.

- One element is always transmitting while the second is always receiving.

- Ultrasound is always on.

- In ultrasound, we use pulse waves because continuous wave sometimes cancel out the wave, but we use its concept.


PULSE WAVE


- Pulse waves require only one transducer element.

- Acts both as receiver and transmitter.

- Ultrasound beam is intermittently transmitted.

- Majority of its time is listening time.

- Creates anatomic images.

- Uses short bursts of ultrasound.

- Collection of cycles that travel together:

- On time or transmit time

- Off time or receive time


Characteristics


Characteristics described by all of the continuous wave description plus:


- Pulse duration

- Spatial pulse length

- Pulse repetition period

- Pulse repetition frequency

- Duty factor


CONTINUOUS WAVE CHARACTERISTICS


Characteristics described by:


- Frequency

- Period

- Propagation speed or acoustic velocity

- Wavelength

- Amplitude

- Power

- Intensity


PULSE DURATION


- Pulse duration is equal to period × number of cycles in the pulse.

- Time from the beginning to the end of the pulse.


Formula


- PD = Period × Number of cycles in the pulse


SPATIAL PULSE LENGTH


- SPL is equal to wavelength × number of cycles in the pulse.

- Physical length of the pulse.


Formula


- SPL = Wavelength × Number of cycles in the pulse


PULSE REPETITION PERIOD


- Time from the beginning to the end plus listening time.

- Time from the onset of the pulse until the start of the next pulse.


DUTY FACTOR


- Percentage of the time that transducer is emitting sound waves.


Formula


- DF = PD / PRP


Continuous Wave


- Duty factor value of continuous wave is 1.


PULSE WAVE INTENSITIES


Most common intensity units for pulse-wave intensities:


- ISPTP

- Spatial peak temporal peak

- ISPTA

- Spatial peak temporal average

- ISATP

- Spatial average temporal peak

- ISATA

- Spatial average temporal average

- ISPPA

- Spatial peak pulse average

- ISAPA

- Spatial average pulse average


SOUND PROPAGATION MEDIA PROPERTIES


Elasticity


- Ability of an object to return to its original shape and volume after a force is no longer acting on it.

- In ultrasound, when there is no pressure affecting the sound waves, it will return to its original value.

- Demonstrated by a return to its original value or shape when the pressure is lowered to its initial value.


Density


- Mass of the medium per unit volume.

- Concentration of medium particle.


Compressibility


- Fractional decrease in a volume when pressure is applied to a material.


Bulk Modulus


- Negative ratio of stress and strain.


Stress


- Force per unit area applied to an object.


Stiffness


- Resistance of the medium to compression.


Decibel


- Relative sound intensity.


INTERACTIONS OF ULTRASOUND WITH MATTER


Absorption


- Conversion of energy of sound waves to heat within the medium.

- Increases when frequency increases.

- Reduces the amount of energy there is to reflect.

- Reduces penetration and signal strength because it is already converted to sound energy.

- Can cause thermal biological effects.

- It is the only process whereby sound energy is dissipated in a medium.


Reflection


- Return of incident ultrasound energy as an echo directly back to the transducer when interacting at a boundary with normal incidence.

- The way the ultrasound is reflected is determined by the size of the surface features of the interface.


Reflection Coefficient


- A fraction of the incident energy reflected by the acoustic interface.

- Occurs at an interface between two dissimilar materials.

- Caused by atomic number.

- Happens when there is acoustic impedance.


Acoustic Impedance


- Explains how particles of a substance behave when subject to pressure waves.

- Measures the resistance to sound passing through a medium.

- Related to stiffness and flexibility of a compressible medium.


Formula


- Z = ρc


Unit


- kg/m²·s


Impedance Mismatch


- Differences between acoustic impedances at interfaces determine the amount of energy reflected at the interface.


SPECULAR REFLECTORS


- Large and relatively smooth interfaces reflect sound like a mirror.


Examples


- Diaphragm

- Urine-filled bladder

- Endometrial stripe


Important Points


- Echoes return to the transducer only if the sound beam is perpendicular to the interface.

- If the interface is not at a 90-degree angle to the sound beam:

- The echo will be reflected away.

- It will not be detected.


DIFFUSE REFLECTORS


- Smaller interfaces in the body where most echoes arise.

- Echoes are scattered in all directions.

- Non-specular reflection.

- Medium is bigger than the sound beam.

- Almost same with scattering but different in the medium.


Echoes


- Sound reflected back to the transducer are called echoes.

- Return of incident ultrasound energy directly back to the transducer when interacting at a boundary.

- Transducer must be 90 degrees to the POI to avoid scattering.

- The way the ultrasound is reflected is determined.

- This principle is what allows the image to be generated by the ultrasound machine.

- More reflection means more hyperechoic images.

- The sound beam is directed at right angles to a smooth interface, larger than the width of the sound beam.


SCATTERING


- This is specular reflection, responsible for creating the internal echoes of the organ.

- Ultrasound speckle is produced by the constructive and destructive interference of sound scattered by small tissue reflectors.

- A weak reflection mechanism.


Examples


- Kidneys


- Pancreas


- Spleen


- Liver


- Smaller media than sound waves.


REFRACTION


- Changing direction of the sound wave when passing through tissues with different propagation velocities.

- Important because it is one of the causes of misregistration.

- The echo detected and displayed in the image is coming from a different depth or location than is shown in the display.


ATTENUATION


- Loss and transfer of energy to tissue as sound passes through it.

- Determines the efficiency with which ultrasound penetrates specific tissues.


Attenuation Coefficient


- dB/cm

- Relative intensity loss per centimeter of travel for a given mediuvm.


Attenuation Tissue Coefficienty


- Property of the degree of sound wave attenuation in specific tissues.


Formula


- Attenuation = Absorption + Scattering + Reflection


Important Factor


- We consider frequency.


ULTRASOUND TERMINOLOGIES


Anechoic


- No echo

- Fluid

- Bile

- Blood


Hypoechoic


- Low echogenicity

- Fats


Isoechoic


- Similar echogenicity


Hyperechoic or Echogenic


- Moderate to high echogenicity

- Stone and fibrous plaques

- Calcified

- Strongly echogenic with acoustic shadow

- Stones and bone


Inhomogeneous or Heterogeneous


- Not uniform

- Diverse in echogenicity


Complex


- Mixed echogenicity

- Solid and cystic components