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Ординатура / Хирургия / Библиотека им академика М.И. Перельмана / Книга_3786_Библиотеки_им_академика_М_И_Перельмана

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Part II
https://t.me/med1917
Vein Testing
Ultrasound Physics
https://t.me/med1917
Frank R. Miele
5
Contents
5.1 Introduction ................................................. 61
Ultrasound Physics and Ultrasound
5.2
Basics ............................................................ 62
5.2.1 Sound Wave Parameters ................................ 62
5.2.2 Transducers, Absorption, and Resolution ..... 65
5.2.3 Linear Phased Arrays .................................... 66
5.3
Ultrasound Imaging .................................... 66
5.3.1 Operating Frequency ..................................... 66
5.3.2 Transmit Power ............................................. 67
Transmit Focus .............................................. 67
5.3.3
5.3.4 Signal and Gain ............................................. 67
5.3.5 Signal and Compression ................................ 67
5.3.6 Signal and Ambient Light ............................. 68
5.3.7 Harmonic Imaging ........................................ 68
5.3.8 Compound Imaging ....................................... 69
5.3.9 Artifacts ......................................................... 69
5.4
Spectral Doppler .......................................... 71
5.4.1 Doppler Theory and Basics ........................... 71
5.4.2 Doppler Shift Detection ................................ 72
Angle Correction, Velocity, Direction,
5.4.3
and Acceleration ............................................ 72
5.4.4 Optimal Operating Frequency ....................... 72
5.4.5 Wall Filters .................................................... 73
5.5 Color Doppler .............................................. 73
5.5.1 Color Doppler Basics .................................... 73
5.5.2 Optimizing Operating Frequency .................. 74
5.5.3 Color Priority and Color Gain ....................... 74
Color Scales and the PRF .............................. 75
5.5.4
5.5.5 Decreasing the Color Scales .......................... 75
5.5.6 Color Wall Filters .......................................... 76
5.5.7 Color Power Doppler .................................... 77
Conclusion ............................................................... 77
F.R. Miele, MSEE Pegasus Lectures, Inc., Forney, TX, USA e-mail: fmiele@pegasuslectures.com
Abstract
Success in phlebology is predicated on the quality and accuracy of the ultrasound imag­ing and Doppler data pre-intervention, during intervention, and post-intervention. In order to avoid errors, image quality must be optimized, Doppler must be performed and interpreted correctly, and artifacts must be recognized and minimized. These requirements are met often through manipulation of scanning technique as well as changing instrument control settings. Taken together, these requirements designate that both foundational physics and ultrasound instrumentation must be well understood to ensure high-quality patient care. As such, the starting point for phlebology is a treatment in ultrasound physics and instrumentation.
5.1 Introduction
Success in phlebology is predicated on the qual­ity and accuracy of the ultrasound imaging and Doppler data pre-intervention, during interven­tion, and post-intervention. In order to avoid errors, image quality must be optimized, Doppler must be performed and interpreted correctly, and artifacts must be recognized and minimized. These requirements are met often through manip­ulation of scanning technique as well as chang­ing instrument control settings. Taken together, these requirements designate that both founda­tional physics and ultrasound instrumentation must be well understood to ensure high-quality
E. Mowatt-Larssen et al. (eds.), Phlebology, Vein Surgery and Ultrasonography, DOI 10.1007/978-3-319-01812-6_5, © Springer International Publishing Switzerland 2014
61
62
1
a
b
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patient care. As such, the starting point for phle­bology is a treatment in ultrasound physics and instrumentation.
5.2 Ultrasound Physics
Ultrasound Basics
and
5.2.1 Sound Wave Parameters
Understanding ultrasound physics and instru­mentation requires a brief review of sound and wave parameters. Sound is a mechanical wave, implying a physical interaction between the ultrasound (the wave) and tissue (the medium). It is precisely the mechanical interaction which allows for ultrasound image generation. As the sound waves propagate through the body, the physical interactions result in changes to the wave characteristics which are then processed to produce an image. Since varying the initial sig­nal characteristics affects the characteristics of the returning signal, we start by discussing the basic wave parameters. By alternately compress­ing and rarefying the particles of the medium, sound waves propagate through the medium. The number of compression rarefaction pairs per second is referred to as the frequency (Fig. 5.1). Thus, a 5 MHz wave compresses and rarefies the
molecules of a medium five million times per second. The distance between the compressions is referred to as the wavelength.
With respect to ultrasound, the wavelength is an extremely important parameter as the wave­length affects both the type of reflection that occurs as well as the axial resolution of the image. As depicted in Fig. 5.2a, b, within the same medium, higher frequencies result in shorter wavelengths while lower frequencies result in longer wavelengths.
Acoustic Power and Intensity
The power of the wave relates to the pressure developed within the tissue. In order to produce the sound waves, a piezoelectric transducer is excited by an electrical signal, referred to as the transmit voltage. Higher transmit voltages pro­duce higher acoustic pressure fields, increasing the strength of the reflected signal as well as increasing the maximum depth of penetration. Of course, because of the physical interaction with the medium, a higher acoustic pressure poten­tially increases the risk of causing tissue damage (referred to as a bioeffect). The parameter that is measured to assess both the ability to improve signal strength and the risk of inducing a bioef­fect is the intensity. The intensity is a measure of the distribution of the power per unit area, as
Fig. 5.1 Sound waves
(longitudinal wave) propagate through compression and rarefactions of the medium
Fig. 5.2 (a) Higher
frequency and shorter wavelength. (b) Lower frequency and longer wavelength
Compression
Rarefaction
Equilibrium
Frequency =
l
Period
l
=
2 cm = 13 µs
1 cm
2 cm
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indicated by Eq. 5.1. Higher intensities increase sensitivity and penetration but also increase the risk of causing thermal bioeffect (an increase in temperature that can cause protein denaturing leading to cell death) and mechanical bioeffects referred to as cavitation (a rapid phase transition which creates cavities that can implode within the tissue).
63
Intensity Power/Area
Propagation Velocity
(5.1)
6.5 µs
and Roundtrip Time
Another important wave parameter is the prop­agation velocity. The propagation velocity is the speed at which a wave travels through a medium and is determined by the properties of the medium. In essence, more dense tissues tend to be stiffer (higher bulk modulus) which results in higher propagation velocities. Ultrasound machines start with a simplified assumption that sound travels at 1,540 m/s (1.54 mm/μs). Based on this assumption and simple application of the distance equation, the time for sound to travel 1 cm in the body is calculated to be approxi­mately 6.5 μs. Since ultrasound imaging is based
Fig. 5.3 Roundtrip effect and imaging travel time per
centimeter (Reprinted from “Essentials of Ultrasound Physics: the Board Review Book,” by F. R. Miele, p. 327. Copyright 2008 by Miele Enterprises, LLC. Reprinted with permission)
on signal reflection, the roundtrip effect must be taken into account, which implies that 13 μs are required for each 1 cm of imaging depth (2 cm roundtrip travel) (Fig. 5.3). Of course, when the actual speed of sound varies significantly enough from the assumed 1,540 m/s, error exists with the displayed image (portraying structures too shal­low when higher than the assumed speed and too deep when slower than the presumed speed).
highly specular and hence highly angle depen­dent. For specular reflection, the ideal angle is an incident angle of 0° (which implies that the beam direction is perpendicular to the reflecting struc­ture) (Fig.
5.4).
As the angle increases (the beam direction relative to the reflective surface becomes more acute), an increasing percentage of the reflected energy is lost, decreasing the ability to visualize
Reflection
Reflection from tissues is dependent on geomet­ric and acoustic properties. Geometrically, when the reflecting surface is large and smooth with respect to the wavelength, a very angle- dependent type of reflection, specular reflection, occurs. When the surface is rough relative to the wave­length, the much less angle-sensitive (back) scat­tering occurs. Finally, when the reflecting structures are small relative to the wavelength (as occurs with red blood cells), Rayleigh scattering occurs. Note that reflection from a needle is
the reflecting structure. Eventually, at large enough incident angles, the reflecting structure will not be at all visualized. This change in visu­alization as a result of angle-dependent reflection is referred to as anisotropy. Practically speaking, this fact has ramifications when dealing with ultrasound-guided needle procedures. The ideal incident angle of 0° is generally not possible. By using a shallower entrance approach, the incident angle remains smaller and the needle is generally better visualized. The incident angle can be somewhat manipulated by rocking the transducer
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%−
21
()
()
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qi=0°
Fig. 5.4 Incident angle (Reprinted from “Ultrasound Physics & Instrumentation,” by F.R. Miele, p. 147. Copyright
2006 by Miele Enterprises, LLC. Reprinted with permission)
qi=20° qi=40°
(what is sometimes referred to as heel-to-toe rocking) and/or by changing the electronic B-mode steering (for those systems that offer this capability). Note that the ability to adequately visualize tendons and nerves is also very angle dependent.
Percentage Reflection and Acoustic Properties
The percentage of the sound wave energy that reflects at a boundary between two media is determined by the disparity between the acoustic properties of the adjoining tissues (Eq.
5.2). This property is referred to as the acoustic impedance. The acoustic impedance of a medium is directly proportional to the density and the propagation velocity of the medium. At a boundary between two mediums, when a large mismatch (differ­ence) in acoustic impedances exists, the percent­age of the sound energy reflected is high. Of course, as more energy reflects from a particular point, there is less energy to insonify the inferior tissues (lower transmission). When the imped­ance mismatch is smaller, less reflection (and hence more transmission) occurs. It is important to note that higher impedance mediums do not imply high reflection percentages. As specified in the equation, the amount of reflection is related to
the difference in impedances such that transition­ing from a high to a low impedance, or from a low to a high impedance, results in large reflec­tions. When the sound wave transitions from a high impedance medium to another high imped­ance medium, very little reflection occurs. Similarly, when the sound wave propagates from a medium with a low acoustic impedance to another medium with a low impedance, very lit­tle reflection occurs. This fact explains why fresh thrombus comprised primarily of red blood cells of the same acoustic properties may not be visu­alized whereas older clot, especially when calcified, generally presents with a very echo­genic appearance.
ZZ ZZ
()
/+Reflection=
21
2
(5.2)
Application of the reflection equation is useful in predicting and understanding the acoustic appearance of various tissue structures. Relative to the acoustic impedance of muscle, the acoustic impedance of tendon and bone is quite high, resulting in very strong reflection (hyperechoic images). In comparison, fat has a lower acoustic impedance than muscle and therefore tends to produce lower acoustic echoes. Acoustically, blood appears relatively “homogenous” such that
Overall
Frequency (MHz)
Sensitivity (dB)
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the blood pool itself typically produces very little reflection (hypoechoic). Note that when fluid­filled cystic structure is insonified, the boundary of the fluid represents a very large acoustic impedance mismatch and hence produces a strong echo; however, when the fluid itself is homogenous, no reflection occurs, and hence, no internal echoes are visualized (anechoic). At the other extreme from fluids, metallic structures such as needles and surgical clips represent very high impedances. Relative to the lower imped­ance of the surrounding tissue, the high imped­ance of these metallic objects results in very large reflection percentages and, hence, very strong bright echoes.
For ultrasound-guided needle procedures, visualization of nerves is obviously very impor­tant. Sonographically, nerves commonly have a honeycomb appearance in cross section, which translates to a striated appearance longitudinally. The explanation for this appearance, of course, is explained by the reflection equation (Eq. 5.2) in conjunction with the properties of nerves. A nerve consists of a bundle of fascicles. The bun­dle is encased with the epineurium, and each fas­cicle is encased by perineural connective tissue. The nerve fascicles generally appear hypoechoic surrounded by more hyperechoic perineural con­nective tissue. The epineurium is also echogenic.
5.2.2 Transducers, Absorption,
and
Resolution
Ultrasound transducers are created from piezo­electric materials. Piezoelectric materials convert mechanical stress (such as occurs with mechani­cal vibration from sound waves) into electrical energy (voltage). These materials also exhibit “reciprocity” which means that the same crys­tal can convert electrical energy into mechani­cal energy. Transducers operate over a range of frequencies, referred to as the transducer bandwidth as depicted in Fig. 5.5. This band­width allows for imaging at different frequen­cies without swapping transducers as well as allowing for different operating frequencies for different ultrasound modalities (i.e., imaging at
transducer bandwidth
Lower
frequency
Fig. 5.5 Bandwidth (Reprinted from “Essentials of
Ultrasound Physics: the Board Review Book,” by F.R. Miele, p. 327. Copyright 2008 by Miele Enterprises, LLC. Reprinted with permission)
MHz while performing Doppler at 3.0 MHz).
5
Higher
frequency
High-frequency ultrasound generally has the advantage of superior axial (depth), lateral (side by side), and elevation (slice thickness) resolu­tion. The disadvantage of high-frequency imag­ing is significantly less penetration as a result of increased absorption (the conversion of sound energy into heat within the tissue). Absorption rates increase exponentially with increasing transmit frequency and increasing depth, imply­ing that using even slightly higher frequencies can significantly decrease penetration and signal strength at deeper imaging depths. Broadband transducers offer the flexibility without having to change out transducers of transmitting with lower frequency for improved sensitivity and penetration at greater depths as well as transmit­ting at higher frequencies for improved resolu­tion for shallower imaging.
Transducers can be constructed from single crystals (referred to as pencil probes, pedofs, or Doppler only) or multiple elements to form phased arrays. Phased array transducers consist of different form factors including: Sectors, which bring the image to a point designed
for rib access and used generally in cardiac
imaging although also used for transcranial
and, sometimes, abdominal imaging Curved linears, which produce broad near field
by a curved surface, generally used on the
abdomen and for invasive transducers such as
transrectal and transvaginal Linears, which have a large flat surface ideal for
contact with relatively flat surfaces such as the
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Time
Fig. 5.6 Linear transducer imaging formats (Reprinted from “Ultrasound Physics & Instrumentation,” by F.R. Miele,
pp. 277–279. Copyright 2006 by Miele Enterprises, LLC. Reprinted with permission)
neck, arms, and legs. Linear transducers have three different imaging formats including unsteered, steered, and trapezoidal (Fig. 5.6)
Time
frame frequency, commonly referred to as the frame rate. The frame rate is one of the predomi­nant determinants of the ability to resolve changes in time, or the temporal resolution. Higher frame rates imply better temporal resolution. Higher
5.2.3 Linear Phased Arrays
frame rates can be achieved by minimizing the time required to produce the frame. Clearly nar-
Since venous imaging is performed primarily with linear phased arrays, we will emphasize the functionality of linear arrays. Linear images are
rowing the image and decreasing the depth set­ting decrease the frame time and improve temporal resolution.
produced by activating a group of elements, referred to as the aperture, to produce a single beam. Generally the same aperture is then used to
5.3 Ultrasound Imaging
receive over time the returning echoes. Based on the depth setting, the system determines the
5.3.1 Operating Frequency
required receive time, referred to as the pulse repetition period (PRP) before transmitting the next line. Recall that 13 μs is required for each cm of imaging depth such that the PRP is simply the imaging depth multiplied by 13
μs/cm. Once
the required “listen” time has transpired, the system activates another group of elements to produce the next acoustic beam and the process is repeated until the user-specified region of the patient is scanned. The frequency at which the lines can be transmitted, the pulse repetition frequency (PRF) is equal to the reciprocal of the pulse repetition period (PRP). Once the entire region is scanned, the system goes back to the beginning and repeats the process, creating the next frame of data. The time required to acoustically produce a frame is simply calculated as the time required to produce a line (the PRP) multiplied by the number of lines that constitute the frame. The reciprocal of the frame time is the
Changing the transmitted wave parameters can have significant impact on the image qual­ity and clinical value of the data acquired. As already mentioned, most modern systems offer broad bandwidth transducers that allow the user to select the operating frequency. Typically, the frequency range for linear transducers is between about 2.5
MHz and about 15 MHz. This range is too broad for any one transducer and is generally covered by either two or three different trans­ducers (i.e., a specific vendor may offer broad­band linear transducers with frequency ranges of 2.5–7, 5–12, and 8–15 MHz). For imaging, the general rule for operating frequency selec­tion is to choose the highest frequency that still results in adequate penetration. Following this rule ensures that resolution is optimized while still presenting adequate signal above noise thresholds. Practically speaking, there can only
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be general and not specific rules about appropri­ate frequency selection for conventional imaging, since attenuation with depth varies from patient to patient.
5.3.2 Transmit Power
For deeper imaging, as occurs with deeper ves­sels on large patients, the transmit power should be increased. For the superficial venous system, the transmit power can generally be reduced from the maximum without compromise of image quality.
5.3.3 Transmit Focus
A third important system setting which affects sensitivity is the transmit focus or foci. When imaging superficially with only one focus, the focus should be set at the depth of vein or artery being assessed. For deep veins when inadequate sensitivity is a potential issue, the focus should be set just slightly deeper than the vein of inter­est since, for deeper imaging depths, the highest beam intensity is generally shallower than the focal depth. Using multiple foci improves the lateral resolution and sensitivity over the focal range and in general is very useful for venous imaging. The downside of using multiple foci is that image acquisition slows, decreasing the frame rate, hence, degrading temporal resolution.
5.3.4 Signal and Gain
The visualization of grayscale signals on the screen is the result of a complex interaction between multiple systems and environmental settings including the receiver gain, time gain compensation (TGC), compression settings, monitor contrast and brightness, and the ambi­ent lighting of the room. Before discussing the approach to setting the system controls, it is imperative to first discuss the ultrasound sig­nal relative to the light perception of the human eye. First, there is a need for signal
amplification since even the highest amplitude signals reflecting from the body are too small to be adequately visualized. The system con­trol, known as “receiver gain,” is basically a multiplier that increases the amplitude of all received signals. TGC is also receiver gain but differs in how the gain is applied. Unlike the receiver gain that multiplies all signals, TGC is depth dependent. Signals that are received from deeper depths arrive later in time and generally require more amplification than sig­nals from shallower depths. TGC allows for the image to be subdivided into zones based on depth, and then different amplification applied to each of these zones to compensate for the varying attenuation.
5.3.5 Signal and Compression
Reflected ultrasound signals span a very large range of intensities (referred to as the “signal dynamic range”). Reflections from mediums such as nerves, tendons, bones, and calcifications tend to be of very high amplitude as a result of the large acoustic impedance mismatches rela­tive to the surrounding tissues. Conversely, reflections from within blood, fluids, and fresh thrombus tend to be of low amplitude as a result of the relative acoustic impedance homogeneity. The dynamic range of these reflected signals often spans 80 or even 100 dB (a factor in ampli­tude of 10,000:1 and 100,000:1). The human eye for a given ambient light is capable of detecting less than 36 The result is that the dynamic range of reflected signals from diagnostic ultrasound far exceeds the dynamic range of the human eye. This fact illustrates why compression must be employed in displaying ultrasound images. As the name suggests, compression reduces the dynamic range by mathematically remapping the wider range of signal amplitudes to a smaller range of signal amplitudes. The problem is, that by com­pressing the dynamic range of reflected signals, it is more than conceivable that some informa­tion may be lost and an important differentiation between tissue types may be missed (i.e., an
dB (fewer than 64 shades of gray).
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Fig. 5.7 Distortion of wave
producing harmonic energy (Reprinted from “Ultrasound Physics & Instrumentation,” by F. R. Miele, p. 664. Copyright 2006 by Miele Enterprises, LLC. Reprinted with permission)
Transmintted wave
Nonlinear response
inability to differentiate a mass from surrounding normal tissue or an inability to visualize a throm­bus from the surrounding blood pool).
In light of the potential to not visualize impor­tant signals, ultrasound systems are designed with multiple compression maps. The names of the compression function vary relative to system manufacturers, but this function is generally called compression, grayscale, dynamic range, or post-processing. Regardless of the function name, the various compression settings map the signal strengths to differing brightness levels. Since the maps compress the signals nonlinearly, each setting changes the appearance of the image grayscale, potentially masking or unmasking a thrombus or mass visualized or not visualized at a different setting.
5.3.6 Signal and Ambient
Light
Ultimately, the image is presented on a display monitor. The monitor should be calibrated rela­tive to the ambient light. In brighter ambient light, the monitor brightness must be increased so that low-level signals are displayed with an appropriate brightness so as to be presented above the visual threshold.
Compression
Increased c
5.3.7 Harmonic Imaging
The imaging technique discussed up to this point has assumed conventional, fundamental imaging. With fundamental imaging, the transmit frequency band and the receive frequency band are the same. Since the latter part of the 1990s, second harmonic imaging has revolutionized ultrasound. For har­monic imaging, the system transmits at a lower fre­quency band, referred to as the fundamental, and then receives and processes signals at twice the fundamental signal frequency, referred to as the second harmonic. In order to operate over such a wide frequency range, the transducers used for har­monic imaging require very broad bandwidth. When processing the returning echoes, the system applies a filter to “look at” just the second harmonic bandwidth, explicitly attempting to eliminate sig­nal with frequencies in the transmit bandwidth.
Harmonic signals are generated in tissue because of a nonlinear response of the tissue to the compression and rarefaction induced by the sound waves. During compression, the density of the tissue molecules increases, resulting in a slight increase in propagation speed. During rar­efaction, the density decreases such that there is a slight decrease in the propagation veloc­ity. In essence, the sound wave is distorted as it propagates through the tissue (Fig.
5.7) as some
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fundamental energy is converted into harmonic energy within the sound wave. Although the gen­erated harmonics are not limited to second har­monics, as of now, ultrasound systems are not making use of progressively weaker higher order harmonics. The generation of harmonic energy is very nonlinear with the beam intensity (related to the parameter called the mechanical index [MI]). Slightly decreasing the beam intensity (a lower MI) results in significantly less harmonic signal generation. As a result, harmonic imaging is very sensitive to where the beam focus is placed in the image as well as to the overall transmit power used when imaging. The best harmonic imag­ing occurs with higher transmit power and near within the focal region (the area about the depth of the focus).
The primary benefit of harmonic imaging is a reduction of clutter artifacts. Since harmonic beams are inherently narrower than beams gener­ated using fundamental imaging, lateral resolu­tion is improved. Additionally, because the beam intensity is generally low in the near field before the beam has converged to the focus, harmonic generation is generally low in the near field. Since most imaging artifacts result from strong reflectors in the near field (referred to as clutter signals), lower-level harmonic signals in the near field result in fewer imaging artifacts, improv­ing image quality. For deep imaging in which attenuation dominates, harmonic imaging is not recommended as harmonic generation drops pre­cipitously with lower beam intensities.
amplitude increasing by a factor “n.” For exam­ple, adding nine signals, each with an amplitude
V, would result in a combined signal with
of 0.1 an amplitude of 0.9 V. In contrast, the noise (which exists in every image) is random from frame to frame. When the noise from each of the nine frames is averaged, the noise amplitude also grows, but at a slower rate. In fact, the noise generally grows at the rate of the square root of the number of frames used in the average (√n). Using the same example, imagine that the noise level is 1 nanovolt (nV); averaging nine frames together would result in the noise becoming big­ger by the square root of nine, or 3 × 1 nV = 3 nV. Therefore, the signal grew nine times larger whereas the noise grew only three times as large, implying that the signal-to-noise ratio increased by a factor of 9, 3, or 3 times. In other words, averaging improves the signal-to-noise ratio by the square root of the number of samples in the average.
As already mentioned, in addition to averaging, compound image varies the image steering from frame to frame. Recall that specu­lar reflection is very angle dependent. Combining this fact with the fact that most imaging artifacts are caused by specular reflection, it should be clear that compound imaging results in artifacts tend to “average out.” The net result is that com­pound imaging generally results in images with better signal-to-noise (improved sensitivity) and fewer artifacts.
5.3.8 Compound Imaging
Compound imaging (also known as Sono CT or Crossbeam Technology) generally results in improved image quality. There are two primary components to compound imaging: frame averaging and varying steering angles between averaged frames. By averaging frames, the sig­nal-to-noise ratio is improved as long as any changes in the region of interest occur slowly relative to the frame acquisition rate. In cases where the signal is changing slowly, the signal in each of the “n” frames are in phase such that adding together the frames results in the signal
5.3.9 Artifacts
Ultrasound imaging is based on a series of assumptions. Whenever one or more of these assumptions are violated, artifacts exist. Some of the many assumptions made by ultrasound include:
• The speed of sound is 1,540 m/s (equivalent to
13 μs for sound to travel 2 cm, or image 1 cm).
• Sound travels only down to a structure and back
and does not reverberate between structures.
• Sound travels in a straight line such that the
beam path is “straight.”
• Attenuation is never so significant so that deeper
structures are still adequately insonified.