Math
Formulas
Waves
Wave Parameters
Attenuation
Pulsed Waves
Transducers
System Operation
Contrast/Harmonics
Patient Care
1

What is the formula for wavelength?

λ = c/f  

1

what is the reciprocal unit for msec?

kHz

1

What are the units for Period?

seconds or msec or µs


1

What is the dominant form of attenuation?

Absorption

1

What is the reciprocal of PRP?

PRF

1

What is B?

matching layer

1

How would you fix this image?

Move near field TGCs to the left and far field TGCs to the right

2

What is the scientific notation for 2,700?  

2.7 x 10^3

2

What is the formula for axial resolution?

SPL/2

2

Ultrasound can be defined as a _______________, ______________ wave.

longitudinal, mechanical

2

Frequency and Period are both determined by the.....

source

2

Absorption _____ with increasing frequency

increases

2

The far zone is also referred to as the ___________ zone.

Frauenhofer

2

What is the difference between amplification and compensation?

amplification - all echoes equally increased

compensation - increases deeper echoes more


3

How many km are in 3000 m?

3 km

3

What is the formula for duty factor (DF)?

Duty factor(%) = 

(PD (µs)/ PRP (µs))  x 100

      

3

What is the speed of sound in soft tissue?

1540 m/sec or 1.54 mm/µs

3

Does air or bone have a higher propagation velocity?

bone

3

What is the redirection of US waves in many different directions when they encounter structures that are small or irregular compared to the wavelength of sound?

- It occurs when the sound beam hits heterogeneous tissue, small reflectors, or rough surfaces.


Scattering.

3

This image was produced by which type of transducer?

curvilinear array (or curved linear)

3

Define "Standard Precautions"

A set of guidelines to minimize the exposure and risk of health care workers when in contact with a patient.


4

What is the reciprocal of 0.5 msec?

2 kHz

4

What is the formula for fractional bandwidth (FBW)?

FBW = Bandwidth (BW) / Operating frequency (Fc)

4

What is the audible frequency range of sound?

20–20,000 Hz

4

What is the The 3dB Rule?

A 3 dB INCREASE in output power will DOUBLE the beam intensity.

A 3 dB DECREASE in output power will HALF the beam intensity.


4

The area indicated by the red arrow can be described as __________ which indicates that there are ___________ reflected signals.


hyperechoic, highly

4

The reciprocal of frame time is _______.

And the reciprocal of seconds is _______.

Frame rate

Hertz

4

How is the frequency of a continuous wave transducer determined?

Determined by the frequency of the electrical signal created by the ultrasound system (electrical 𝑓 = acoustic 𝑓)

4

In this mode of ultrasound, the Y axis is depth and derived from “time of flight”.

B mode aka grayscale aka B scan

5

What is the formula for amplitude?

Amplitude = (max - min) / 2

5

Ultrasound frequencies are anything higher than _____ Hz

The frequency range used in diagnostic ultrasound is _________

20,000 Hz (20kHz)

2 - 12 MHz 

5

If there is a large difference between 2 impedances, there will be nearly total what?

reflection

5

What is the 13 usec rule?

Pulse round trip time = 13µs for each cm of distance from the source to the reflector

5

What type of beam results from this phase delay profile - (give 2 descriptions)?

focused, un-steered beam

5

What are the 5 processes that happen in the receiver?  List them in the order in what they happen.

Amplification

Compensation

Compression

Demodulation (detection)

Rejection


5

What are the 2 costs (drawbacks) of harmonic imaging?

Decreased amplitude in the far field

Decreased axial resolution

6

What are 2 formulas for intensity?

Intensity = Power / area

or

Intensity = Amplitude/ area


6

Propagation velocity ______ with increasing bulk modulus. 

increases

6

Name the 7 Sound Wave Parameters?(measurable attributes) and which are determined ONLY by the source.

Frequency, Period, Wavelength, Propagation speed, Amplitude, Power, Intensity 

Frequency and Period are determined only by the source

6

The rate at which an ultrasound beam loses intensity as it travels through a medium (expressed per unit distance) is the definition of _________.

Attenuation coefficient

6

Calculate the pulse duration for a pulsed wave that has a period of 3 msec and rings (“is on”) for 4 cycles.

12 msec

6

Focal length is another name for:

NZL

(near zone length)

*** focal length and focal zone are 2 DIFFERENT THINGS

7

What is the formula for calculating the frequency of a pulsed wave transducer?

f

crystal propagation speed (mm/usec) / 

2 x crystal thickness (mm)

7

Compressibility ______ with increasing bulk modulus. 

decreases

7

These waves have the same ________, but different ________.

Propagation velocity, frequencies (or wavelength)

7

Snell's law is used to determine:

the presence and angle of refraction

7

For array transducers - 

describe the difference between sequencing and phasing

Sequencing - Operated by applying voltage pulses to groups of elements in succession creating the image frame from one side to the other

Phasing - used for steering and focusing and operated by applying voltage pulses to most or all of the elements with small (< 1 µs) time differences between them 


8

Calculate Log 50

1.7

Log 50 = Log (100/2) 

= Log 100 - Log 2 

= Log 2 - 0.3

= 1.7

8

What are the 2 forms of the formula for the change in decibels

Power form:

Amplitude form:

8


The blue and red waves have _______ interference.  They both have an amplitude of 2V, so the green wave has an amplitude of ______V.

constructive, 4V

8

What are the two requirements for refraction to occur at the interface of 2 media?

1. Oblique incidence

2. Different propagation speeds

8

If "F" is 4 V, "A" is 5msec and the "C" is 20msec, calculate the DF.

0.25 or 25%

8

______ and ______ describe transducer design, while ______ and ______ describe transducer operation.

linear; curved

sequencing, phasing

8

Which operation feature uses 1 transmit beam that is a little wider than normal and divides it into 2 creating 2 receive lines in the same space?

Parallel processing

9

What are 2 formulas used to calculate the NZL?

NZL = D2 / (4 x wavelength)

and

NZL =(D2 x f0) / 6  - for soft tissue

9

What happens to the wavelength when it moves from a medium with lower propagation velocity to a medium with higher propagation velocity?

Wavelength increases

9

Define "attenuation coefficient"

Attenuation that occurs with each centimeter the sound wave travels

Unit: dB/cm or dB/cmMHz


9

Both ______ and ________ resolution are determined by beamwidth, but in 2 different dimensions.

lateral and elevational

10

What is the formula for the intensity reflection coefficient (IRC)?

10

What happens to the beam intensity if the beam area is increased by a factor of 4?  

Decreases by a factor of 4.

10

What sound beam incident angle gives the strongest reflection?

0 degrees

10

Name 3 adjustments a sonographer can make that will decrease the frame rate

increase depth

use multi-focus

widen the sector

10

What characteristics of the transducer will produce a higher beam divergence vs. a lower beam divergence?

Higher beam divergence (shallow depth of field) - smaller crystal diameter and lower frequency

Lower beam divergence (broad depth of field) - larger crystal diameter and higher frequency

10

Name 5 adjustments a sonographer can make that changes the amount of output power the machine allows

Frequency

Imaging mode

Depth

Image sector size

Focus


11

This gallstone demonstrates what 2 main types of attenuation?

Absorption and reflection

11

To obtain the longest focal zone you need a _____ crystal diameter and a _______ frequency

large, high