##### Equations

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created 6 years ago by Annabelle
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updated 5 years ago by Annabelle
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1

Density

d = m/v

2

Pressure

p = F/A

3

Frequency

Frequency = n/seconds = Hz

4

Hz

Hz = n/sec

5

kHz

kHz = n/ms

6

MHz

MHz = n/μs

7

wavelength

λ = c/f

8

SPL All

SPL = n * λ

SPL = n * c/f

9

SPL (λ)

SPL = λ * n

10

SPL (Hz)

SPL = (n * c)/f

11

Pd ALL

pd = n * period

pd = n / f

12

Pd (period)

pd = n * period

13

Pd (Hz)

pd = n / f

14

PA

PA = TA/DF

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TA

TA = DF * PA

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DF ALL

DF = TA/PA

DF - pd(μs)/PRP(μs)

DF = pd(μs) * PRF (μs)

17

DF (intensity)

DF = TA/PA

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DF (PRP)

DF - pd(μs)/PRP(μs)

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DF (PRF)

DF = pd(μs) * PRF (μs)

20

Intensity

Intensity = Power (W) / area (cm2)

21

Attenuation

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

22

Distance

d = 1/2 * ct

23

Refraction transmission angle

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

24

IRC

IRC = reflected/incident

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

25

impedance

impedance = density * c

26

Matching layer thickness

thickness = .25λ

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Matching layer thickness (frequency)

thickness = .25 c/f

28

bandwidth

bandwidth = fmax - fmin

29

fractional bandwidth

fractional bandwidth = bandwidth/fO

30

Q factor

Qf = fO/bandwidth

31

Doppler Shift

FD = (2 * Vcos0 * f0)/c

32

Volumetric flow rate formula

Flow rate = V/t

33

pressure above the heart

above = CP - HP

34

Poiseuille's equation

flow = pressure*diameter/ strength*viscosity

steady flow in a long straight tube

35

Reynolds #

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

36

NZL Formula

(D2 * f) / 6

37

Axial resolution

RA = 1/2 SPL

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Lateral Resolution

RL = Beamwidth

39

Focus width

1/2 element thickness

40

Element thickness

1/2 λ