Ultrasound 1 Flashcards
what is acoustic pressure?
also called excess pressure
Pressure_Tube = pressure from the ambient level + acoustic pressure
When is there an increase in pressure in a longitudinal wave?
compression (positive pressure)
When is there a decrease in pressure in a longitudinal wave?
rarefaction (negative pressure)
When is the acoustic pressure at a maximum?
When the particles are moving towards to each other
How are pressure and particle velocity related?
related by the bulk speed of sound value and the ambient value of density
pressure of the particle in a plane wave = pressure of the ambient * bulk sound speed value * particle velocity
For waves with a small amplitude, how are pressure and density related?
By the sound speed:
p = c^2 * density
what is the equation that describes the wave with a small amplitude, in time and space?
p(x,t) = p_0 * sin(kx + wt)
What does the constant k represent in the equation describing the wave in time and space?
2*pi/ wavelength also known as the wavenumber (i.e number of waves that fit in one full oscillation)
what does the constant w represent in the equation of a small amplitude wave?
w = 2*pi * frequency of the wave
How is angular frequency and wavenumber related?
w = c* k
given that k = 2pi/ wavelength
and w = 2pif
where c = fwavelength
so that f = c/wavelength
substituting into the equation for angular frequency
w = 2* pi* c/wavelength
wavelength = k/2*pi
substituting again
w = ck
what is the constant c equal to in the equation describing the wave in space and time w = ck
c = sqrt (K/density)
What is the constant K in the equation of wave speed derived from the wave in time and space equation?
The Bulk modulus
What does the bulk modulus describe?
The stiffness of the medium
The relative change in density of a material induced by an applied pressure (the higher the change, the lower the resistance)
density, applied pressure are inversely proportional
What is the density of water?
1000kg/m^3
How can the transfer of energy through the medium in acoustic waves be described?
Acoustic energy density
Kinetic energy
Kinetic energy density
Potential energy density
What is the word definition of acoustic energy
The sum of time averaged kinetic and potential energy density
What is the mathematical definition of kinetic energy?
1/2 * m* v^2
What is the mathematic definition of kinetic energy density?
1/2 * density * speed of particle^2
What is the mathematical definition of potential energy density?
1/2 * (pressure ^2) * (1/ambient pressure * speed of sound ^2)
How to describe the energy flow of acoustic waves?
Energy/energy density, intensity, Power
What is the word definition of intensity?
the energy flowing through unit area per second.
What is the definition of power?
The rate of energy production by a source, or the rate at which energy flows across a surface- the sum or integral of intensity over a surface
Mathematical definition of instantaneous intensity (a function of space and time)
I(x,t) = pu
pressure of the wave * speed of the wave
Mathematical definition of the time averaged intensity (a function of space)
I(x) = <pu>
The pressure and particle velocity are averaged over a whole number of wave cycles</pu>
How are echoes created?
By reflections and scattering from objects, structures or small scatterers in the tissues of the body.
What must there be for an echo to be generated?
A difference in the sound speed and/or the density of the structure for this to happen - i.e the acoustic impedance must vary
What does the impedance describe?
How particles in a medium respond to a pressure wave.
What type of quantity is specifci acoustic impedance?
A local quantity