Equation Flashcards
Period Equation
1/f
Frequency Equation (period)
1/T
Frequency Equation (wavelength)
c / WL
Wavelength Equation
c (1.54 mm/us) / f
Propagation Speed
Elasticity/density
Amplitude equation
1/2 (max amp - min amp)
Intensity Equation
Power / Area
Pulse Duration Equation
cycles X T
# cycles / f
Spatial Pulse Length Equation
cycles X WL
Pulse Repetition Period (PRF) Equation
1 / PRF
Pulse Repetition Period (Depth) Equation
13 us X Depth
Pulse Repetition Frequency (PRP) Equation
1 / PRP
Pulse Repetition Frequency (Depth) Equation
77,000 / Depth
Duty Factor Equation
(PD / PRP) X 100
Beam Uniformity Coefficient Equation
SP / SA
Temporal Average Equation
PA X DF
Attenuation Coefficient Equation (f)
f / 2
Attenuation Coefficient Equation (dB)
0.5 dB / cm / MHz
Total Attenuation Equation
Attn Co / distance
Half Value Layer Thickness Equation (attn co)
3 / Attn Co
Half Value Layer Thickness Equation (f)
6 / f
Impedance Equation
density X PS
Incident Intensity Equation
Reflected intensity + Transmitted Intensity
IRC % Equation
(Reflected intensity / incident intensity) X 100
ITC % Equation
(Transmitted intensity / incident intensity) X 100
IRC % (perpendicular incidence) Equation
(Z2 - Z1 / Z2 + Z1)^2 X 100
Snells Law Equation
sine transmission angle / sine incident angle = PS medium 1 / PS medium 2
Total distance Equation
1.54 X go return time
Range Equation (depth)
.77 X go return time
Bandwidth Equation
max f - min f
Q factor Equation
main f / operating f
Fractional bandwidth Equation
bandwidth / operating f
Frequency Equation (PZT)
PS of PZT / 2 x thickness
PZT thickness Equation
1/2 WL of PZT
ML thickness Equation
1/4 WL of ML
Focal Depth Equation
d^2 / 4 x WL
Focal Depth Equation (rewritten)
d^2 x f / 6
Axial Resolution Equation
SPL / 2
Lateral Resolution Equation
Beamwidth
Tframe Equation
pulses x PRP
Frame Rate Equation
1 / Tframe
Line Density Equation
lines / sector angle
Spatial Resolution Equation
lines / sector angle
Elevational Thickness Equation
beam height / thickness
Axial Resolution Equation (WL)
(WL x # cycles) / 2
Dynamic Range Equation (system components)
20 x log (highest / lowest)
Dynamic Range Equation (intensity)
10 x log (final intensity / initial intensity)
Mechanical Index Equation
Peak Negative Pressure / sqr root f
Reynolds Number Equation
( velocity x diameter x density ) / viscosity
Bernoulli Equation
4 (v2^2)
Pressure Gradient Equation
flow x resistance
Voltage Equation
current x resistance
Doppler shift Equation
reflected f - transmitted f
Doppler Equation
(2 x v x operating f x cos 0) / PS 154000
Nyquist Limit Equation
PRF / 2
Measured velocity Equation
true velocity x cos 0
Velocity Equation
(DS x 154000) / 2 x operating f x cos 0
Temporal Index Equation
Wp / Wdeg
Color Frame Rate Equation
lines per ROI x doppler packet x ROI depth
Sensitivity Equation
TP / (TP + FN)
Specificity Equation
TN / (TN + FP)
Accuracy Equation
(TP + TN) / (TP + FP + TN + FN)
Positive Predicitve Value Equation
TP / (TP + FP)
Negative Predicitive Value Equation
TN / (TN + FN)