Physics Exam #2 Flashcards
Doppler
Name some random things that Doppler can be used for
Weather forecasting
Aviation safety
Police surveillance
Automatic door openers
Home burglar alarms
Motion detector lights
Doppler effect founded by
Johann Christian Doppler in 1842
Define the Doppler effect
it is an apparent shift or change in frequency of an interrogating wave caused by relative motion between an observer and an object
shift is result of changes which occur to the wavelength because of the relative motion
The source (transducer) determines the ______ of the waves.
frequency
The medium determines the ________.
propagation speed
the frequency and speed of propagation determine the
wavelength
λ = c / f
wavelength = speed divided by frequency
Stationary receiver sees the ________ number of pressure waves as they are emitted by a stationary source.
same
with the doppler effect, either the source or the receiver is
moving either toward or away from the other
if a wave with a given wavelength reflects from an object which is moving, the wavelength of the reflected wave will be _______ than the original wavelength
different
in a positive doppler shift, the reflector is moving toward the transducer, the reflected frequency is _______ than the transmitted frequency
higher
in a negative doppler shift, the reflector is moving toward the transducer, the reflected frequency is _______ than the transmitted frequency
lower
Doppler change in frequency is in what range?
audible range
doppler shift is between 200 Hz and 15,000 Hz
Audible range is between 20 - 20,000 Hz
Doppler shift frequency examples:
Ultrasound observer A detected an absolute frequency of 1.98 MHZ while observer B detected an absolute frequency of 2.02 MHZ
What are the Doppler shifts for observer A and observer B
Doppler shift for observer A is:
1.98 MHZ - 2 MHZ = -0.02 MHZ = -20 kHz (negative shift)
Doppler shift for observer B:
2.02 MHZ - 2MHZ = .02 MHZ = +20 kHz (positive shift)
What is the doppler shift equation?
fDop = 2f0V / c
where:
fDop = frequency of Doppler
V = velocity of RBC’s
f0 = frequency of transducer
c = speed of sound in tissue (1540 m/s)
Think of “2” as roundtrip of the sound
Does how fast the sound source or receiver (or both) affect the Doppler shift?
yes… an increase in the velocity between the sound source and receiver causes a greater change in the received frequency
fDop = 2f0V / c
Doppler frequency is __________ proportional to the reflector velocity
directly
*if the reflector velocity doubles, the Doppler frequency doubles etc etc
Higher transmit frequency =
Lower transmit frequency =
higher frequency shift
lower frequency shift
compression leads to a _____ frequency and decompression leads to a ______ frequency
higher, lower
A faster velocity will result in a greater frequency shift but it will not tell you any other information, such as
direction (if it is a positive or negative shift)
in real life US, the flow direction we measure in the body is _______ directly or towards the transducer
rarely
a flow direction DIRECTLY toward the transducer (impossible in real life) would have a Doppler flow angle of 0 degrees
The ______ between the observer and the motion affects the Doppler effect
angle
If you know the angle (or cosine) you can add it to the Doppler equation…
fDop = 2f0V(cos) / c
the cosine in the Doppler equation represents what exactly
the angle of incidence relative to direction of blood flow
Doppler angle is defined as
the angle that is formed between the observers line of sight and the direction of the target object
The US angle is often referred to as
the insonification angle, insonation angle
measured between the beam steering direction and the direction of the flow
When blood cells are moving _____ to the sound beam (0 degrees), the entire velocity is measured
parallel
when an angel exists between the direction of flow and the sound beam, the measured velocity is
less than the true velocity
What does a +1 and -1 cosine represent? What angles do they correlate to? A cosine of 0 is what angle?
+1.0 cosine is an angle at zero degrees and represents a positive Doppler shift. It is optimal but literally impossible in the real world. A zero cosine represents an angle at 90 degrees. A -1.0 cosine is an angle at 180 degrees and represents a negative Doppler shift.
increments of 30 degrees
(ex. 0, 30, 60, 90, 120, 150, 180)
180 degree angle would be blood flow going directly _____ from the transducer
away
If the cosine of 30 is 0.87, how much of the true Doppler shift is detected?
87%
When the direction of flow is perpendicular to the sound beam (90 degrees) the MEASURED VELOCITY is what
zero
Can Doppler shifts and velocities be measured with perpendicular incidence?
NO
What’s the relationship between actual velocity and measured velocity when blood moves at a 60 degree angle to the beam?
Since the cosine of 60 degrees is 0.5 the measured velocity is one half the actual velocity.
Example: when blood travels at 2 m/s at a 60 degrees angle to the sound beam Doppler reports the velocity at 1 m/s
correctly identifying the insonification angle is critical for 4 big reasons
- determine flow direction
- assess Doppler measurement accuracy
- minimized Doppler error sources
- assess likelihood of artifact related issues such as spectral broadening
Angles of ______ degrees or less are generally achievable through steering and angulation.
60 degrees
________ transducers are electronically steered
linear array
To convert the Doppler frequency to a reflector velocity, what is needed?
angle correct
Doppler Angle: if the angle increases does the frequency shift increase or decrease?
decrease