Relationships and Equations Flashcards
How are period and frequency related?
Inversely related/reciprocal. As frequency increases, period decreases.
How are amplitude and power related?
Power is proportional to the wave’s amplitude squared
How is intensity related to power?
Directly related. When a wave’s power is doubled, the intensity is doubled.
How is intensity related to amplitude?
Intensity is proportional to the wave’s amplitude squared
How are wavelength and frequency related?
Inversely related. As frequency increases, wavelength decreases.
How are stiffness and speed related?
Directly related. As materials become stiffer, the speed of sound in the material increases.
How is density related to speed?
Inversely related. As materials become more dense, the speed of sound in the material decreases.
How is spatial pulse length related to the number of cycles in the pulse?
Directly related
How is spatial pulse length related to the wavelength
Directly related
How is spatial pulse length related to frequency?
Inversely related
How are pulse repetition period and depth of view related?
Directly related. As depth of view increases, pulse repetition period increases.
How are pulse repetition frequency and depth of view related?
Inversely related. As depth of view increases, pulse repetition frequency decreases.
How are pulse repetition period and pulse repetition frequency related?
Inversely related/reciprocal relationship. The shorter the PRP, the higher the PRF.
How is duty factor related to imaging depth?
Inversely related. Duty factor is higher when the system is imaging at shallow depths.
Equation for Period
Period (s) = 1 / Frequency
Equation for Frequency
Frequency (Hz) = 1 / Period
Equation for Power
Power (w) = amplitude^2
Equation for Intensity
Intensity (W/cm^2) = power (w) / area(cm^2)
Second equation for Intensity
Intensity = amplitude^2
Equation for Wavelength
Wavelength (mm) = 1.54 mm/us / frequency(MHz)
Equation for Speed
Speed (m/s) = frequency (Hz) x wavelength (m)
Equation for Pulse Duration
Pulse duration (us) = #cycles / frequency (MHz)
Second equation for Pulse Duration
Pulse duration (us) = #cycles x period (us)
Equation for PRP
PRP (s) = 1 / PRF (Hz)
Equation for PRF
PRF (Hz) = 1 / PRP (s)
Equation for Duty Factor
Duty factor (%) = pulse duration / PRP x 100
How are the attenuation coefficient and frequency related?
Directly related
Equation for Attenuation Coefficient
Atten Coeff (dB/cm) = frequency (MHz) / 2
Equation for Total Attenuation
Total attenuation (dB) = atten coeff (dB/cm) x distance (cm)
Equation for Depth
Depth (mm) = 1.54 mm/us x go-return time (us) / 2
Equation for PRP in soft tissue
PRP (us) = imaging depth (cm) x 13 us/cm
How is PRP related to the maximum imaging depth?
Directly related
Equation for PRF in soft tissue
PRF (Hz) = 77,000 cm/s / imaging depth (cm)
How is PRF related to the maximum imaging depth?
Inversely related
Equation for Quality Factor
Quality Factor = main frequency / bandwidth
How is quality factor related to bandwidth?
Inversely related
How is quality factor related to pulse length?
Directly related
How are PZT thickness and frequency related?
Inversely related
How are transducer diameter and focal depth related?
Directly related
How are frequency and focal depth related?
Directly related
How are crystal diameter and beam divergence related?
Inversely related
How are frequency and beam divergence related?
Inversely related
