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Ultrasound Physics
Chapter 2 Sound
38
Physics
Professional
04/26/2013

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Term
What is the effects of the medium upon the sound wave called?
Definition
Acoustic Propagation Properties
Term
What is the effects of the sound wave upon biologic tissue called?
Definition
Biologic Effects
Term
What is sound?
Definition
Sound is a mechanical, longitudinal wave that consists of compressions and rarefactions that which carries energy, not matter, from place to place.
Term
How is sound created?
Definition
By the vibration of a moving object.
Term
What are compressions?
Definition
Areas in a sound wave of increased pressure and density.
Term
What are rarefactions?
Definition
Areas in a sound wave of decreased pressure and density.
Term
Define acoustic variables and what are the three types?
Definition

Acoustic variables identify which waves are sound waves.  When an acoustic variable changes rhythmically in time, a sound wave is present.

 

  1. Pressure
  2. Density
  3. Distance
Term
Define pressure as it relates to sound and what are the units?
Definition

Concentration of force within an area, force/area.

 

Units: Pascals (Pa)

Term
Define density as it relates to sound and what are the units?
Definition

Concentration of mass within a volume.

 

Units: kg/cm3

Term
Define distance as it relates to sound and what are the units?
Definition

Measure of particle motion.

 

Units: cm, ft, miles

Term
Define Transverse Wave
Definition
Particles move in a perpendicular direction (right angles or 90°) to the direction of the wave.
Term
Define Longitudinal Wave
Definition
Particles move in the same direction as the wave
Term
Define acoustic parameters and what are the seven types?
Definition

Acoustic parameters describe the features of a particular sound wave.

 


Determined by sound source                             

[Period

Frequency]-->inversely related to each other

 

[Amplitude

Power                                               

Intensity]-->directly related to each other

 

Determined by both sound and medium

wavelength

 

Determinded by medium

speed

Term
Define Period
Definition

The time required to complete a single cycle.

 

units: μsec (or any unit of time)

 

typical values: 0.06 to 0.5

 

determined by: sound source

 

1/f

 

sec/cycle

Term
Define Frequency
Definition

Number of certain events that occur in a particular time duration.  In diagnostic ultrasound, the frequency of a wave is the number of cycles of an acoustic variable that occur in one second.

 

units: Hertz (Hz)

 

typical values: 2 MHz to 15 MHz

 

Note: Frequency affects penetration and axial resolution (image quality)

 

determined by: sound source

 

1/p

 

cycles/sec

 

 

Term
Define Ultrasound
Definition
A wave with a frequency exceeding 20,000 Hz (20kHz).  This frequency is so high that the sound is not audible by man.
Term
Define Audible Sound
Definition
Heard by man, frequencies between 20 Hz and 20 kHz
Term
Define Infrasound
Definition
Sound with frequencies less than 20 Hz.  This frequency is so low that the sound is not audible by man.
Term
How is frequency and period related to each other?
Definition

They are reciprocals or have an inverse relationship.

 

frequency (Hz) X period (sec) = 1

 

period (sec) = 1/frequency (Hz)

 

frequency (Hz) = 1/period (sec)

Term
Define Amplitude
Definition

The difference between the average value and the maximum value of an acoustic variable.  The variation of an acoustic variable.

 

units: those of the acoustic variables:

Pressure: Pascals

Density: grams/cm3

Particle motion: cm, inches, units of distance

Amplitude may be expressed in decibels (dB)

 

output/input

Term
Define Peak-to-Peak Amplitude
Definition
The difference between maximum and minimum values of an acoustic variable.  Amplitude is half of the peak-to-peak amplitude.
Term
Define Power
Definition

The rate that work is performed, or the rate of energy transfer

 

units: Watts

 

Power decreases as sound propagates through the body.

Term
What is the relationship between Power and Amplitude?
Definition

Power is proportional to the wave's amplitude squared

 

Power [image] (Amplitude)2

Term
Define Intensity
Definition

The concentration of energy in a sound beam.  Intensity depends upon both the power and the cross-sectional area of the beam.

 

intensity (watts/cm2) = power (watts)/beam area (cm2)

 

units: watts/cm2

 

typical values: 0.001-100 watts/cm2

 

Intensity decreases as sound propagates through the body

 

power/area

Term
What is the relationship between Power and Intensity?
Definition
Intensity is proportional, or directly related, to the power.  When one goes up, so does the other.
Term
What is the relationship between Amplitude and Intensity?
Definition

Intensity is proportional to the amplitude of the wave squared

 

Intensity [image] (Amplitude)2

Term
Define Wavelength
Definition

The length or distance of a single cycle.  Similar to the length of a single boxcar in a long train.

 

units: meters, mm or any unit of length

 

Determined by both the sourse and the medium

 

Typical values: 0.1-0.8 mm (in soft tissue)

 

wl (mm) = proagation speed (mm/μs)/frequency (MHz)

 

λ = C/F

Term

What is the λ equation rule?

 

Definition
In soft tissue, divide 1.54 mm by frequency in MHz
Term
Define Propagation Speed
Definition

The rate that sound travels through a medium.  Also called velocity or speed.

 

units: m/s, mm/μs

 

Determined by the medium

 

Note: All sound travels at the same speed through any specific medium regardless the frequency.

 

Typical values: Avg speed of all sound (regardless of frequency) in biologic or "soft tissue" is:

 

1540 m/s = 1.54 km/s = 1.54 mm/μs

 

General rule: gas (slower)<liquid<solid (faster)

Term
What is the propagation speed through air?
Definition
330 m/s
Term
What is the propagation speed through lung?
Definition
300-1200 m/s
Term
What is the propagation speed through fat?
Definition
1450 m/s
Term
What is the propagation speed through soft tissue?
Definition
1540 m/s
Term
What is the propagation speed through tendon?
Definition
~1850 m/s
Term
What is the propagation speed through bone?
Definition
2000-4000 m/s
Term
What characteristics of a medium determine the speed of sound in that medium?
Definition
Stiffness and density
Term
How does stiffness affect speed?
Definition

Stiffness and speed are directly related.  As materials become stiffer, the speed of sound in the material increases.

 

Stiffness and Speed ---> Same direction

 

Bulk modulus is the same as stiffness.

Term
How does density affect speed?
Definition

Density and speed are inversely related.  As materials become more dense (heavier), the speed of sound in the material decreases.

 

Density and Speed ---> opposite directions

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