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Speed of sound in various mediums (slowest-fastest)
Air
Fat
Water
Soft tissue
Blood
Muscle
Bone
PZT
Steel
Wavelength equation
c = wavelength x frequency
Relationship of propagation speed ( c ) and stiffness (Z)
Directly related
Relationship of stiffness (Z) to compressibility (K)
Inversely related
Relationship of stiffness (Z) and elasticity (e)
Inversely related
What aspect has the greatest affect on velocity of sound
Stiffness (Z)
Compression
Crest (highest point of wave)
What kind of wave is a sound wave
Longitudinal (slinky)
Rarefaction
Trough (lowest point of wave)
Frequency unit
Hz (hertz)
Velocity unit
m/s (meters/second)
T (period) unit
Microseconds
Wavelength unit
Meters or millimeters
Intensity unit
Watts/cm²
Acoustic variables
Pressure
Particle motion
Density of medium
Temperature of medium
What type of energy is sound
Mechanical energy
Characteristics of media
Density (p)
Stiffness (Z)
Propagation speed ( c )
Compressibility (K)
Elasticity (e)
Acoustic velocity of soft tissue
1540 m/s
1.54 mm/microsecond
Prefixes with exponents
Giga ^9
Mega ^6
Kilo ³
Hecto ²
Deca ^1
Deci ^-1
Centi ^-2
Milli ^-3
Micro ^-6
Nano ^-9
If wavelength is given in mm and frequency is given in MHz, the answer unit will be
mm/microsecond
If wavelength is given in meters and frequency is given in Hz, the answer unit will be
m/s
Period equation
T=1/f (in microseconds)
What happens to particles when sound passes through them
Particles are pushed together (compressions) and are spread apart (rarefactions)
Compressibility formula
Z=1/K
Elasticity formula
Z=1/e
Acoustic velocity formula
c=Z/rho
How do harmonics improve image quality
Improves lateral resolution
Harmonic beam is narrower
Eliminates grating lobe artifacts
Reduce artifacts from superficial reverberation
What type of waves are harmonics
Non-linear wave propagations
What is sent in and what is received (harmonics)
Send in fundamentals (original frequency), receive harmonics (new frequencies that are multiple of the original)
What kind of harmonic is used in dmu
Second harmonics
What do harmonics do
Improves image quality
Linear propagation
Speed does not depend on pressure, and the shape of the wave does not change with pressure
Hyugen’s principle
All points on wave can be considered as point sources for the production of three dimensional spherical waves
One complete wavelength degree
360 degrees
“In phase” meaning
Two waves start from the same point at the time
“Different phase” meaning
Two waves start from the same point at different time
Principle of superposition
The summation of waves to form more complex waves
Constructive interference
Occurs when waves with the same frequency are transmitted in phase
Waves combine to form a wave of larger amplitude
Destructive interference
Occurs when waves with same frequency are transmitted 180 degrees out of phase (exactly opposite)
Waves combine (subtract) to form a wave with a smaller amplitude
Intensity unit
Watts/cm²
Types of waves
Electromagnetic and ,echanical
Sinusoidal wave
Oscillations (variations) occur at a constant rate (speed)
Longitudinal wave
Variations of acoustic variables occur parallel to the direction of the sound propogation
Transverse waves
Variations of acoustic variables occur perpendicular to the direction of sound propagation
Continuous wave (cw)
Constant emission of sound
Pulsed wave (pw)
Intermittent emissions of sound
A few cycles of sound followed by a gap and repeated
Properties of continuous waves are determined by
Source and medium
Source of CW
Frequency
Period
Amplitude
Power
Intensity
Medium of CW
Acoustic velocity
Source and medium of CW
Wavelength
Amplitude (A)
Difference between the maximum value of acoustic variables occur parallel and its normal (undisturbed) value
Amplitude units
MPa, mega pascal
Intensity equations
I = P/Area
I = A²
Wavelength
The distance (mm) covered by one cycle
Acoustic impedance (Z) units
Rayls or Megarayls
Oscillation
Back and forth movement
Sinusoidal wave
Oscillations occurring t a constant rate
Intensity definition
The rate at which energy passes through a unit area
Acoustic impedance
The resistance of a material to compression
Stiffness