Week 2: Physics of waves Flashcards
What are the 3 assumptions for imaging modes?
1) Axial distance of target from the transducer - given time of arrival
2) Lateral position of target - location/direction of beam
3) Reflection/Scattering strength of target - w/ amplitude
What are the assumptions of a scanner?
- C is constant
- Beam axis is straight
- Attenuation is constant
- Pulse travels only to the target and back (along beam axis)
define a wave?
- Disturbance of regular repeating pattern that travel through space
Describe transverse waves
- Movement of molecules is 90 degree direction of wave
- Moving waves oscillations are perpendicular to the wave direction
Describe longitudinal waves
- Sound waves that oscillate back and forth with the particle motion of a medium along the wave direction of propagation (parallel to the direction of wave)
…. has no net movement of medium (…. and associated….)
- transverse waves
- Disturbance
- Energy transported
Frequency (f) is
waves oscillates or crests passing a stationary observer p/sec
How is f determined?
source of the sound wave e.g. fat, soft tissue
what are mechanical waves?
a wave that travel via deformable or elastic medium, solids or liquids due to it elastic properties
Explain this picture
This describes compression (increased pressure) and rarefaction (decreased pressure):
1) No movement = rest position
2) Mass is displaced, stretched on one side and compressed on another (storing force & potential energy)
3) The mass is accelerated back to rest with force in the springs gaining kinetic energy while doing so. Carrying past the rest position.
What is frequency?
of times the ave repeats (oscillation or crests) p/sec
Anything greater than… is an US wave
> 20 Khz
define a wavelength?
The equation:
λ = c/f (mm)
length or distance between consecutive crests or similar points in the wave (single wave)
Define period? sec
T = 1/f
The time required to complete a single cycle (1 wavelength or oscillation)
What is Phase?
Phase describes the position within a cycle of oscillation and is measured in degrees (or radians, π = 180 ̊)
Describe the term pressure (Pascals)?
1 Pa= 1 N.m-2 (newtons measure of force)
- pressure (p) in a medium oscillates between max & min values as a wave passes
- Peak +ve pressure: compression (excess pressure)
- Peak -ve pressure: rarefraction (excess pressure)
amplitude is described by peak excess … with the … value during the ….. passing
1) pressure
2) maximum
3) wave
What is power?
Energy = Joules (J)
Power = Watts (W)
—> 1 W = 1 J p/sec (s-1)
rate at which US energy is produced by the source
What is displacement amplitude?
Max distance moved by a particle from it’s rest position (measure of amplitude (strength) of the wave))
Whats the difference between actual and normal pressure?
is called excess pressure (pressure in the wave)
Describe how energy plays a role with power?
When a wave travels through a medium, it transport energy into that medium from the source.
What is intensity?
W m-2 or Wcm-2
measure of the amount of power flowing through a unit area at a 90 degree direction of propagation
What is intensity associated with?
with a wave increases with the pressure amplitude of the wave (I is proportional to pressure squared (p2))
what properties determine C?
C = √k/p
1) density/P (kg/m3)
2) stiffness/K (Pa)