##### Final

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created 5 years ago by Annabelle
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updated 5 years ago by Annabelle
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1

Formulas

Attenuation

Axial resolution

bandwidth

Density

DF 3

Distance

Doppler Shift

Element thickness

Focus width

fractional bandwidth

Frequency

impedance

Intensity

IRC

Lateral Resolution

Matching layer thickness

NZL Formula

PA

Pd 2

Poiseuille's equation

Pressure

pressure above the heart

Q factor

Refraction transmission angle

Reynolds #

SPL 2

TA

Volumetric flow rate formula

wavelength

2

Frequency

Frequency = n/sec = Hz

3

SPL 2

SPL = n * λ

SPL = n * c/f

4

Pd 2

pd = n * period

pd = n / f

5

Matching layer thickness

thickness = .25λ

6

Attenuation

Attenuation = 1/2 * f (MHz) * pathlength cm

7

Distance

d = 1/2 ct

8

Axial resolution

RA = 1/2 SPL

9

Focus width

1/2 element thickness

10

Element thickness

1/2 λ

11

wavelength

λ = c/f

12

Density

d = m/v

13

Pressure

p = F/A

14

PA

PA = TA/DF

15

TA

TA = DF * PA

16

DF 3

DF = TA/PA

DF - pd(μs)/PRP(μs)

DF = pd(μs) * PRF (μs)

17

Intensity

Intensity = Power (W) / area (cm2)

18

IRC

IRC = reflected/incident

IRC = (z2 -z1) / (z2 +z1)

19

impedance

impedance = density * c

20

bandwidth

bandwidth = fmax - fmin

21

fractional bandwidth

fractional bandwidth = bandwidth/fO

22

Q factor

Qf = fO/bandwidth

23

Volumetric flow rate formula

Flow rate = V/t

24

pressure above the heart

above = CP - HP

25

Lateral Resolution

RL = Beamwidth

26

NZL Formula

(D2 * f) / 6

27

Doppler Shift

FD = (2 V * cos0 * f0)/c

28

Reynolds #

R# = (average flow speed * diameter * density) / viscosity

29

Poiseuille's equation

flow = pressure*diameter/ strength*viscosity

steady flow in a long straight tube

30

Refraction transmission angle

New angle = (New c / Old c) * old angle