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Ultrasound Physics Formulas
Ultrasound Physics Formulas
54
Physics
Not Applicable
06/01/2016

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Term
Period(s)  =
Definition

        1        

      Frequency(Hz)

Term
Frequency(Hz)  =
Definition

     1      

Period(s)

Term
Wavelength(mm)  =
Definition

     C(mm/us)

F(Hz)

Term
Spatial Pulse Length(mm)  =
Definition
# of cycles x λ(mm)
Term
Axial Resolution(mm)  =
Definition

SPL(mm)

2

Term
Axial Resolution(mm)  =
Definition

     .77 x #cycles  

F(MHz)

Term
Lateral Resolution  =
Definition
Beam Diameter (width)
Term
Transducer Frequency(MHz)  =
Definition

   C in PZT (mm/us)   

2 x thickness(mm)

 


Term

Focal Depth(mm)  =

 

(Focal Length & Near Zone Length)

Definition

Diameter2(mm) x F(MHz)

6

Term

Focal Depth(mm)  =

 

(Focal Length & Near Zone Length)

Definition

  diameter2(mm)   

4 x  λ(mm)

Term

Sin Divergence Angle  =

 

(Beam Divergence)

Definition

             1.85              

diameter(mm)  x  F(MHz)

Term

Sin Divergence Angle  =

 

(Beam Divergence)

 

Definition

  1.2  x  λ(mm)  

diameter(mm)

Term
Shades of Gray  =
Definition
2# of bits
Term
Attenuation Coefficient(dB/cm)  =
Definition

     F(Hz)

2

Term
Attenuation(dB)  =
Definition
AC(dB/cm)  x  distance(cm)
Term
Rayleigh Scatter  oc
Definition
F4
Term
(reflector) Depth(mm)  =
Definition

  C(mm/us)  x  Go-Return time(us)

2

Term
Pulse Repetition Period(us)  =
Definition
Imaging depth(cm)  x  13us/cm
Term
Pulse Repetition Frequency(Hz)  =
Definition

      77,000cm/s    

Depth(cm)

Term
Depth(mm)  oc
Definition

PRP(us) 

PRF(MHz)

Term
Intensity(W/cm2)  =
Definition

Power(W)

Area2(cm)

Term
Intensity  oc
Definition
Power(W)
Term
Intensity  oc
Definition
Amplitude2
Term
Pulse Repetition Period(us)  =
Definition

      1     

       PRF(MHz)

Term
Pulse Repetition Frequency(MHz)  =
Definition

   1  

     PRP(us)

Term

Time Per Frame(s)  =

 

(Tframe)

Definition
# of pulses  x  PRP(s)
Term
Frame Rate(Hz)  =
Definition

         1        

  Frame Time(s)

(Tframe)

Term
Temporal Resolution(Hz)  oc
Definition
Frame Rate(Hz)
Term
Pressure Gradient  =
Definition
Flow  x  Resistance
Term
Voltage  =
Definition
Current  x  Resistance
Term

Doppler Shift(Hz)  =

 

(Doppler Δ)

Definition

Reflected F(Hz)  -  Transmitted F(Hz)

 

(Fe-Fo)

Term

Doppler Shift(Hz)  =

 

(Doppler Δ)

 

Definition

2  x  Velocity (of blood)  x  Fo  x  cosθ

C

Term
Nyquist Limit(Hz)  =
Definition

   PRF(Hz)

2

Term
Reynolds #
Definition
< 2000
Term
Measured Velocity  =
Definition
True Velocity  x  θ
Term
Pulse Duration(us)  =
Definition
# cycles  x  Period(us)
Term
Pulse Duration(us)  =
Definition

# cycles

     F(MHz)

Term
Duty Factor(%)  =
Definition

       PD(us)    

   PRP(us)


x  100

Term
Impedance(rayls)  =
Definition
Density(kg/m3)  x  C(mm/us)
Term
Incident Intensity(W/cm2)  =
Definition
Reflected Intensity(W/cm2)  +  Transmitted Intensity(W/cm2)
Term
Intensity Reflection Coefficient(%)  =
Definition

       (Z2 - Z1)2

       (Z2 + Z1)2  


x  100

Term
Intensity Transmission Coefficient(%)  =
Definition

               Transmitted Intensity(W/cm2)    

     Incident Intensity(W/cm2)


x  100

Term
100%  =
Definition
IRC(%)  +  ITC(%)
Term
Angle of Incidence  =
Definition
Angle of Reflection
Term
Snell's Law of Refraction
Definition

sin (Trans Angle)  =  Speed of Medium 2

sin (Incid Angle)   =  Speed of Medium 1

Term
Speed  oc
Definition

Stiffness

(Bulk Modulus)

Term
Quality Factor  =
Definition

    Main F   

Bandwidth

Term
Measured Index  =
Definition

Peak Rarefaction(Negative) Pressure

√F

 

Term
Resistive Index  =
Definition

VelocityMAX  -  VelocityMIN

VelocityMAX

Term
Pulsatility Index  =
Definition

VelocityMAX  -  VelocityMIN

VelocityMEAN

Term
Measured Pressure  =
Definition
Circulatory Pressure  +  Hydrostatic Pressure
Term

Velocity of blood  =

 

(In Doppler)

Definition

C  x  Doppler Δ

2  x Fo  x θ

Term
1  =
Definition
PRF(Hz)  x  PRP(s)
Term
1  =
Definition
P(s)  x  F(Hz)
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