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Physics Equations
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Pressure (pascals) =
Force (Newtons)
______________
area (cm²)
Relationship between frequency and period
they are reciprocals
Period(s) = 1/frequency(Hz)
Frequency(Hz) = 1/period(s)
frequency x period =
1
Relationship between power and amplitude
Power (W) = Amplitude² (dB²)
Intensity (W/cm
^{2}
)=
Power (W)
_______________
beam area (cm
^{2}
)
Wavelength (mm) =
Propagation Speed (mm/μs)
________________________________
frequency (MHz)
Wavelength in Soft Tissue =
1.54 mm/μs
_______________
frequency (MHz)
Speed (m/s)=
frequency (Hz) x Wavelength (m)
Pulse duration (μsec)=
cycles in a pulse x period (μsec)
Pulse duration (μsec) =
# of cycles in a pulse
__________________
frequency (MHz)
PRP x PRF =
1
Relationship between Pulse Repetition Period (sec) and Pulse Repetition Frequency (Hz)
Reciprocals.
PRP = 1/PRF
PRF = 1/PRP
Duty Factor(%) =
Pulse Duration (msec)
_________________________ x 100
Pulse Repetition Period (msec)
Spatial Pulse Length (mm) =
# of cycles x wavelength (mm)
Total Attenuation (dB) =
path length (cm) x attenuation coefficient (dB/cm)
Impedance (Rayls) =
Density (kg/cm
^{3}
) x propagation speed (m/s)
Incident Intensity (dB/cm
^{2}
) =
reflected intensity + transmitted intensity
Intensity reflection coefficient (%) =
Z
_{2 }
- Z
_{1}
(________ )
^{2 OR}
Z
_{2 }
+ Z1
[(Z
_{2}
-Z
_{1}
)/ (Z
_{2}
+Z
_{1}
)]
^{2}
Incident transmission coefficient (%) =
Transmitted Intensity
__________________ x 100
Incident Intensity
Intensity Transmission Coefficient (%) =
100% - Intensity Reflection Coefficient
Transmitted Intensity =
Incident Intensity x Intensity Transmission Coefficient
Snell's Law:
sin (angle of transmission) propg. speed 2
_____________________ = ______________
sin (angle of incidence) propg. speed 1
Frequency (Hz) =
attenuation coefficient x 2
distance to boundary (mm) =
go-return time (μs) x speed (mm/μs)
________________________________
2
Bandwidth =
Maximum Frequency - Minimum Frequency
Quality Factor =
resonant frequency (MHz)
______________________
bandwidth (MHz)
Frequency of a Pulsed Transducer (MHz) =
material's propagation speed (mm/μs)
________________________________
2x thickness (mm)
Attenuation coefficient (dB/cm
^{2}
)=
1/2 Frequency (MHz)
To find the depth or time of flight in soft tissue:
depth = 1.54 (mm/μs) x go-return time (μs)
_____________________________
2
Pulse Repetition Period in soft tissue (μs) =
imaging depth (cm) x 13(μs/cm)
Pulse Repetition Frequency in soft tissue (Hz) =
77,000 (cm/s)
_________________
imaging depth (cm)
Time of flight (μs) =
depth (cm) x 13μs
Axial Resolution (mm) =
spatial pulse length (mm)
______________________
2
Axial Resolution (mm) =
0.77 x # of cycles in pulse
______________________
frequency (MHz)
Frame Rate =
1
__
T
_{f }
T
_{f }
x Frame Rate =
1
Author:
Nelikya
ID:
255050
Card Set:
Physics Equations
Updated:
2014-01-03 22:26:02
Tags:
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