US: Basic Ultrasound Physics Flashcards
What is the speed of sound in tissue assumed by most commercial ultrasound scanners?
1540m/s
How is the speed of sound in a medium related to the bulk modulus (K) and the density (ρ)?
c = (K/ρ)^0.5
How is the acoustic impedance related to the speed of sound and the density?
Z = pc
What is the equation for the depth of the far field?
D = (a^2)/λ
a is the aperture (1/2 diameter of the transducer array)
λ is the wavelength
What is the equation for the angle of divergence in the far-field?
Θ = arcsin(0.61λ/a)
a is the aperture (1/2 diameter of the transducer array)
λ is the wavelength
What is another name for the near-field?
Fresnel zone
What is another name for the far-field?
Fraunhofer zone
For a focused lens (with speed of sound c1) with a curvature of R, what is the equation for the length of the near field (F)?
F = R /[(c2/c1)-1] c2 = speed of sound in tissue.
What is the equation for the beamwidth at the focus?
w = λF/a
λ = wavelength F = focal depth a = aperture radius
What is the equation for the amplitude reflection coefficient?
R = (Z2-Z1)/(Z2+Z1)
Z2 and Z1 are the acoustic impedances of the two media.
What is the equation for the intensity reflection coefficient?
I = [(Z2-Z1)/(Z2+Z1)]^2
Z2 and Z1 are the acoustic impedances of the two media.
Under what conditions is specular reflection observed?
When the diameter of the object is much larger than the wavelength.
Under what conditions is Rayleigh scattering observed?
When the diameter of the object is much smaller than the wavelength.
What is the scattered power proportional to?
(d^6) x (f^4)
What causes ultrasonic scattering in tissue?
Microscopic variations in acoustic properties within tissue parenchyma.