* Frequency = 1 / period
- number of events that occur in a specific period of time.
- unit : hertz, Hz / 1Mz=1,000,000Hz
- determined only by the sound source, not by the medium
* Period = 1 / frequency
- period is the time takes for a sound wave to complete 1 cycle
- unit : second, S, ms, μs
* wavelength
- wavelength is the distance over which one complete wave cycle occurs.
- wavelength is the distance between any two consecutive identical point on a wave.
F ↑ : P ↓ WL ↓
F ↓ : P ↑ WL ↑
* wave equation
wavelength, (λ) = speed of sound / frequency
λ=C/f
wavelength (mm) =
1,540 m/s (=1.54mm/μs)
----------------------------------
frequency (MHz)
* Amplitude = voltage
- unit : Pascal
- maximum variation in an acoustic variable
- relates to the strength of the sound wave
- determined by the US system
- The loss of amplitude is called attenuation.
* Power ;
- unit : Watt; W, milliwatt; mW
- energy per time
- power α (amplitude^2)
* Intensity ;
- unit : W/cm^2, mW/cm^2
- concentration of power.
- intensity = power / area
- intensity α power α (amplitude^2)
* Speed of sound
- is determined by medium
- is not determined by frequency of wavelength
Medium | m/s |
air | 330 |
fat | 1460 |
water (20˚C) | 1480 |
6% saline (20˚C) | 1540 |
soft tissue | 1540 |
water (50˚C) | 1540 |
muscle | 1580 |
transducer crystal | 3850 |
bone | 4000 |
* What can affect the speed of sound?
- Stiffness : hardness of a medium
- Density
Speed α Stiffness
Speed α 1/ density
What has the most significan effect on propagation speed? = "Stiffness"
Dertermined by Sound Source | Dertermined by Medium | Dertermined by Sound Source & Medium |
Period Frequency Amplitude, power, and intensity |
Propagation speed Impedance |
Wavelength ∵ WL(λ) = speed / frequency |
* Range equation
- Distance = speed × time / 2
- "time" is between the transmission of the pulse and the reception of the echo.
c
- pulse-echo time = pulse round-trip time = time of flight = go-return time
distance | go-return time |
1cm | 13μs |
2cm | 26μs |
3cm | 39μs |
10cm | 130μs |
Deep echo : long go-return time
Superficial echo : short go-return time
if "go return time = 117μs"?
depth is "9cm"
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