US: Basic Ultrasound Physics Flashcards

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1
Q

What is the speed of sound in tissue assumed by most commercial ultrasound scanners?

A

1540m/s

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2
Q

How is the speed of sound in a medium related to the bulk modulus (K) and the density (ρ)?

A

c = (K/ρ)^0.5

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3
Q

How is the acoustic impedance related to the speed of sound and the density?

A

Z = pc

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4
Q

What is the equation for the depth of the far field?

A

D = (a^2)/λ
a is the aperture (1/2 diameter of the transducer array)
λ is the wavelength

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5
Q

What is the equation for the angle of divergence in the far-field?

A

Θ = arcsin(0.61λ/a)

a is the aperture (1/2 diameter of the transducer array)
λ is the wavelength

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6
Q

What is another name for the near-field?

A

Fresnel zone

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7
Q

What is another name for the far-field?

A

Fraunhofer zone

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8
Q

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)?

A
F = R /[(c2/c1)-1]
c2 = speed of sound in tissue.
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9
Q

What is the equation for the beamwidth at the focus?

A

w = λF/a

λ = wavelength
F = focal depth
a = aperture radius
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10
Q

What is the equation for the amplitude reflection coefficient?

A

R = (Z2-Z1)/(Z2+Z1)

Z2 and Z1 are the acoustic impedances of the two media.

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11
Q

What is the equation for the intensity reflection coefficient?

A

I = [(Z2-Z1)/(Z2+Z1)]^2

Z2 and Z1 are the acoustic impedances of the two media.

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12
Q

Under what conditions is specular reflection observed?

A

When the diameter of the object is much larger than the wavelength.

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13
Q

Under what conditions is Rayleigh scattering observed?

A

When the diameter of the object is much smaller than the wavelength.

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14
Q

What is the scattered power proportional to?

A

(d^6) x (f^4)

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15
Q

What causes ultrasonic scattering in tissue?

A

Microscopic variations in acoustic properties within tissue parenchyma.

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16
Q

How does scatter appear on ultrasound images, and what is the reason for this appearances?

A

Scatter is low-power and non-directional, leading to a dark uniform speckled appearance.

17
Q

What is the equation for attenuation of an ultrasound beam through tissue?

A

I=I(0)Exp(-αz)

α is the frequency-dependent ultrasound coefficient (dB/cm).
z is the depth in tissue.

18
Q

What is the equation for the frequency dependent ultrasound coefficient?

A

alpha = af^b
a is the frequency independent ultrasound coefficient (dB/cm/MHz)
b~1.1.

19
Q

What is the value of b for liver and muscle?

A

1.1

20
Q

What is the value of b for blood and bone?

A

1.2

21
Q

What is the value of b for breast tissue?

A

1.5

22
Q

An intensity reduction of 3dB is equivalent to what fractional change in intensity?

A

1/2.