Relationships and Equations Flashcards Preview

Ultrasound Physics 1 > Relationships and Equations > Flashcards

Flashcards in Relationships and Equations Deck (42)
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1
Q

How are period and frequency related?

A

Inversely related/reciprocal. As frequency increases, period decreases.

2
Q

How are amplitude and power related?

A

Power is proportional to the wave’s amplitude squared

3
Q

How is intensity related to power?

A

Directly related. When a wave’s power is doubled, the intensity is doubled.

4
Q

How is intensity related to amplitude?

A

Intensity is proportional to the wave’s amplitude squared

5
Q

How are wavelength and frequency related?

A

Inversely related. As frequency increases, wavelength decreases.

6
Q

How are stiffness and speed related?

A

Directly related. As materials become stiffer, the speed of sound in the material increases.

7
Q

How is density related to speed?

A

Inversely related. As materials become more dense, the speed of sound in the material decreases.

8
Q

How is spatial pulse length related to the number of cycles in the pulse?

A

Directly related

9
Q

How is spatial pulse length related to the wavelength

A

Directly related

10
Q

How is spatial pulse length related to frequency?

A

Inversely related

11
Q

How are pulse repetition period and depth of view related?

A

Directly related. As depth of view increases, pulse repetition period increases.

12
Q

How are pulse repetition frequency and depth of view related?

A

Inversely related. As depth of view increases, pulse repetition frequency decreases.

13
Q

How are pulse repetition period and pulse repetition frequency related?

A

Inversely related/reciprocal relationship. The shorter the PRP, the higher the PRF.

14
Q

How is duty factor related to imaging depth?

A

Inversely related. Duty factor is higher when the system is imaging at shallow depths.

15
Q

Equation for Period

A

Period (s) = 1 / Frequency

16
Q

Equation for Frequency

A

Frequency (Hz) = 1 / Period

17
Q

Equation for Power

A

Power (w) = amplitude^2

18
Q

Equation for Intensity

A

Intensity (W/cm^2) = power (w) / area(cm^2)

19
Q

Second equation for Intensity

A

Intensity = amplitude^2

20
Q

Equation for Wavelength

A

Wavelength (mm) = 1.54 mm/us / frequency(MHz)

21
Q

Equation for Speed

A

Speed (m/s) = frequency (Hz) x wavelength (m)

22
Q

Equation for Pulse Duration

A

Pulse duration (us) = #cycles / frequency (MHz)

23
Q

Second equation for Pulse Duration

A

Pulse duration (us) = #cycles x period (us)

24
Q

Equation for PRP

A

PRP (s) = 1 / PRF (Hz)

25
Q

Equation for PRF

A

PRF (Hz) = 1 / PRP (s)

26
Q

Equation for Duty Factor

A

Duty factor (%) = pulse duration / PRP x 100

27
Q

How are the attenuation coefficient and frequency related?

A

Directly related

28
Q

Equation for Attenuation Coefficient

A

Atten Coeff (dB/cm) = frequency (MHz) / 2

29
Q

Equation for Total Attenuation

A

Total attenuation (dB) = atten coeff (dB/cm) x distance (cm)

30
Q

Equation for Depth

A

Depth (mm) = 1.54 mm/us x go-return time (us) / 2

31
Q

Equation for PRP in soft tissue

A

PRP (us) = imaging depth (cm) x 13 us/cm

32
Q

How is PRP related to the maximum imaging depth?

A

Directly related

33
Q

Equation for PRF in soft tissue

A

PRF (Hz) = 77,000 cm/s / imaging depth (cm)

34
Q

How is PRF related to the maximum imaging depth?

A

Inversely related

35
Q

Equation for Quality Factor

A

Quality Factor = main frequency / bandwidth

36
Q

How is quality factor related to bandwidth?

A

Inversely related

37
Q

How is quality factor related to pulse length?

A

Directly related

38
Q

How are PZT thickness and frequency related?

A

Inversely related

39
Q

How are transducer diameter and focal depth related?

A

Directly related

40
Q

How are frequency and focal depth related?

A

Directly related

41
Q

How are crystal diameter and beam divergence related?

A

Inversely related

42
Q

How are frequency and beam divergence related?

A

Inversely related