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Introduction to Acoustics

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a)<br />

b)<br />

c)<br />

100<br />

0<br />

V<br />

mV<br />

10<br />

0<br />

a = 13<br />

a = 3<br />

Off<br />

d) mV<br />

100<br />

0<br />

200 µs<br />

15 cm depth PRF = 5kHz<br />

200 µs 200 µs 200 µs 200 µs<br />

Time gain = 2 a<br />

Fig. 21.22a–d Time gain compensation (TGC). (a) Anew<br />

ultrasound pulse is transmitted each pulse repetition period<br />

(200 µs in this case). (b) Echoes from shallow and deep<br />

depths return at known times because of the speed of ultrasound<br />

and the expected round-trip travel time. The later<br />

echoes received from deeper tissues are weaker than the<br />

echoes received from shallow tissues because the echoes<br />

from deeper tissues have passed through more-attenuating<br />

tissue. (c) An amplifier programmed <strong>to</strong> increase the gain<br />

for deep echoes more than for shallow echoes is used <strong>to</strong><br />

compensate for attenuation. This depth gain compensation<br />

(DGC) or time gain compensation (TGC) amplifier is under<br />

opera<strong>to</strong>r control. (d) The echoes, after TGC are ready<br />

for demodulation by analog or digital methods<br />

sitive indica<strong>to</strong>r of displacement of the tissue reflecting<br />

the ultrasound.<br />

This simple model places constraints on the ultrasound<br />

examination. First, at any depth, the strongest<br />

echoes from a bone or air interface perpendicular <strong>to</strong> the<br />

beam are 10 6 (60 dB) stronger than the weakest echoes<br />

from cells in liquid (blood). So, a 10 bit digital echoprocessing<br />

system is the minimum <strong>to</strong> handle the range<br />

of echo strengths expected in an image. Second, because<br />

the speed of ultrasound is about 1.5mm/µs in most tissues,<br />

echoes returning from 15 cm deep arrive 200 µs<br />

after ultrasound pulse transmission. A new pulse cannot<br />

be sent in<strong>to</strong> the tissue along the same line or along<br />

Medical <strong>Acoustics</strong> 21.4 Methods of Medical Ultrasound Examination 861<br />

100<br />

0<br />

V<br />

15 cm depth PRF = 5kHz<br />

200 µs 200 µs 200 µs 200 µs 200 µs<br />

100 V<br />

2 µs<br />

Imaging<br />

(broad band)<br />

Doppler<br />

(narrow band)<br />

Transcranial doppler<br />

(high energy, low MI)<br />

Fig. 21.23 Different ultrasound transmit bursts for imaging<br />

and Doppler applications. Short broadband transmit bursts<br />

are used for B-mode imaging; long narrow-band transmit<br />

bursts are used for Doppler applications. A longer transmit<br />

burst contains more energy if the maximum acoustic<br />

negative pressure (mechanical index) are limiting fac<strong>to</strong>rs.<br />

A short transmit burst allows better depth resolution and<br />

also spreads the diffraction side-lobes of the beam pattern,<br />

suppressing lateral ambiguity. A longer transmit burst<br />

is preferable for Doppler applications where echoes from<br />

blood are weak and coherence length is important for<br />

demodulation<br />

another line until all of the echoes from the first pulse<br />

have returned. So, the maximum pulse repetition frequency<br />

(PRF) for an examination <strong>to</strong> a depth of 15 cm<br />

is 5 kHz (1/200 µs). Ultrasound energy is attenuated <strong>to</strong><br />

1/4 of the incident energy in most body tissues after<br />

passing through a depth of 80 wavelengths. So after<br />

passing through a depth of 400 wavelengths and returning<br />

through 400 wavelengths, the echo strength is only<br />

0.25 10 or 10 −6 of the strength of a similar echo from the<br />

shallowest tissue. To compensate for this attenuation,<br />

an amplifier must amplify the deep echoes 60 dB more<br />

than the shallow echoes (Fig. 21.22). An alternative is<br />

<strong>to</strong> digitize the echoes with a 20 bit digitizer, 10 bits for<br />

the dynamic range of the echoes from different tissues<br />

and 10 bits <strong>to</strong> account for attenuation. In either case,<br />

the maximum depth of an examination is limited <strong>to</strong> 400<br />

wavelengths of ultrasound. An ultrasound depth resolution<br />

cell (a pixel) is equal <strong>to</strong> about twice the wavelength<br />

of ultrasound. So, an ultrasound image can contain 200<br />

pixels in the depth direction (Table 21.5). These con-<br />

Part F 21.4

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