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Formulas & Definitions
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Impedance Formula
P x C
Intensity Reflection Coefficient (IRC)
(Z2-Z1/Z2+Z1)²
Intensity Transmission Coefficient (ITC)
100% - IRC
Momentum
Mass x Acceleration
Rayleigh Scatter
Frequency^4
Snells Law
Ci/Ct = Sin(degree i)/ Sin(degree t)
Critical Angle Snells Law
Sin (degree t) will be 90 degrees, which equals 1
Percent Change
(new-old/old)x100
Attenuation Rate for Soft Tissue
0.5 dB
Attenuation Rate for Muscle
1.0 dB
Attenuation Rate for Blood
0.125 dB
Attenuation Coefficient
AR x F or Decibels of Attenuation/ Path length
Total Attenuation in dB one way
AC x Path Length
Total Attenuation in dB Round Trip
AC x Path length x 2
Half Value Layer
3dB/AC
Maximum Imaging Depth
AR x (2xMID) x F or AC(2xMID)
Diagnostic Range for HVL
0.3-1.0cm
Attenuation
A decrease in wave amplitude.
3 Types of Attenuation
Absorption, Refraction, Reflection
Leading cause of attenuation
absorption
Specular Reflection
Strongest type, occurs when interface is large and smooth in relation to the sound wave. Most occur at 90 degrees
Diffuse Scatter
Occurs when the surface is rough, reflections are received at slightly different times.
Rayleigh Scatter
Happens when structure is small in comparison to sound wave. This is RBCs
Viscosity
Viscous media cause increase loss of energy due to molecules being difficult to move.
2 Key Ideas about Absorption
The dominant form of attenuation in ST and it increases exponentially with frequency