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28  3  Ultrasound: Physical Principles of Ultrasound Imaging
            (a)                                               (a)
                         Period                                           Wavelength
                                                                                                      Chart Title




             PRESSURE                                           PRESSURE










                                  TIME                                             DISTANCE
                     Period of a low frequency ultrasound wave.  (b)
            (b)
                                                                                     Wavelength
                                    Period


             PRESSURE                                           PRESSURE









                                                                                   DISTANCE
                                  TIME                                 Period of a high frequency ultrasound wave.
                    Period of a high frequency ultrasound wave.
                                                              Figure 3.2  Wavelength is the length of space one wave cycle
            Figure 3.1  Ultrasound is depicted as a sine wave. A sound   occupies. This is the distance between two successive peaks or
            travels through a medium; the pressure at any point in the   two successive valleys in the ultrasound wave. Higher frequency
            medium will increase to a maximum value, return to baseline,   transducers will have shorter wavelengths. This will result in
            decrease to a minimum value and then return to baseline.   improved resolution and image detail at the expense of depth
            A cycle is one complete positive and negative deflection of this   penetration.
            wave from baseline. Frequency is how many times these cycles
            occur in one second. Higher frequency transducers will have a
            shorter spatial pulse length leading to improved resolution.
                                                              Table 3.1  Speed of sound, impedance, and density of various
                                                              biological tissues
            impedance differences occur at interfaces with bone and gas
            (Table 3.1) so that the greatest amount of reflection of sound   Speed of   Density     Impedance
            occurs  at  soft  tissue–bone  and  soft  tissue–gas  interfaces.   Tissue  sound (m/s)  (kg/m )  (Rayls)
                                                                                            3
            Since the soft tissue structures within the abdomen have
            small differences in acoustic impedance, only a small amount   Bone  4080   1912        7.8 × 10 6
            of the sound wave is reflected back to the transducer. This is   Muscle  1600  1068     1.71 × 10 6
            fundamental for our ability to visualize the abdominal con-  Kidney  1560   1041        1.63 × 10 6
            tents with ultrasound since most of the beam is still available   Liver  1555  1061     1.65 × 10 6
            for transmission to deeper structures.             Soft       1540          1050        1.62 × 10 6
                                                               tissues
                                                               Water      1480          1000        1.48 × 10 6
            3.4   Transducers                                  Fat        1450            924       1.34 × 10 6

                                                               Lung         600           300       0.18 × 10 6
            Ultrasound transducers convert electric energy into ultra-                                      6
            sound energy and vice versa. Ultrasound transducers oper-  Air    330           1.2     0.0004 × 10
            ate according to the principle of piezoelectricity [2, 5, 6].   Source: Reference [1].
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