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17 | (8) |
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18 | (1) |
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1.2 A brief history of cavitation and ultrasonics |
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19 | (5) |
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1.3 Outline and acknowledgements |
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24 | (1) |
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2 Stress, strain and elasticity |
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25 | (26) |
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2.1 The uniform state of stress |
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25 | (1) |
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2.2 Stress on an inclined plane |
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26 | (3) |
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2.3 Transformation of stresses for rotation of axes |
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29 | (1) |
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30 | (2) |
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2.5 Stationary values of shear stress |
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32 | (2) |
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34 | (2) |
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2.7 Hydrostatic (dilational) and deviatoric stress tensors |
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36 | (1) |
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2.8 Strains and displacements |
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37 | (3) |
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2.9 Generalised Hooke's law |
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40 | (2) |
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41 | (1) |
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42 | (1) |
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2.10 Equilibrium equations for three dimensions |
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42 | (1) |
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2.11 Strain compatibility equations |
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43 | (1) |
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44 | (1) |
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45 | (1) |
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45 | (2) |
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2.14.1 Strain components in polar coordinates |
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46 | (1) |
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46 | (1) |
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2.14.3 Equilibrium equations |
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47 | (1) |
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2.14.4 Strain compatibility equation |
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47 | (1) |
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2.14.5 Stress compatibility equation |
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47 | (1) |
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47 | (2) |
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2.16 Stress functions in polar coordinates |
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49 | (2) |
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51 | (12) |
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51 | (2) |
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53 | (1) |
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3.3 Damped free vibrations |
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54 | (2) |
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56 | (2) |
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3.5 Undamped forced vibrations |
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58 | (1) |
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3.6 Damped forced vibrations |
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59 | (2) |
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61 | (2) |
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63 | (26) |
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63 | (2) |
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4.2 Speed of sound in air |
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65 | (1) |
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4.3 Solutions of the 1-dimensional wave equation |
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66 | (1) |
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67 | (1) |
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4.5 Point and line sources |
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68 | (1) |
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69 | (1) |
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4.7 Root-mean-square pressure |
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70 | (1) |
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4.8 Superposition of waves |
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70 | (1) |
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71 | (1) |
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4.10 Complex representation of a plane, harmonic wave |
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72 | (1) |
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72 | (1) |
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73 | (1) |
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73 | (2) |
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4.13.1 Propagation from a point source |
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74 | (1) |
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75 | (1) |
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4.14 Vectorial notation for the wave equation |
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75 | (1) |
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4.15 Plane waves in isotropic media |
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76 | (2) |
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78 | (1) |
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4.17 Mechanisms of wave attenuation |
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78 | (2) |
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4.18 Reflection and transmission |
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80 | (6) |
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4.18.1 Derivation of Snel's law |
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80 | (1) |
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81 | (1) |
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4.18.3 Reflection and transmission of waves on a plane fluid-fluid interface |
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82 | (1) |
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4.18.4 Reflection and transmission coefficients |
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82 | (2) |
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84 | (1) |
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4.18.6 Normal incidence on a wall (two fluid-fluid boundaries) |
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84 | (1) |
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4.18.7 Impedance of a rigid-backed fluid layer |
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85 | (1) |
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86 | (1) |
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4.20 Nonlinear propagation |
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86 | (3) |
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89 | (34) |
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5.1 The piezo-electric effect |
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90 | (10) |
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5.1.1 Overview of piezo-electricity |
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90 | (1) |
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5.1.2 Piezo-electric nomenclature |
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90 | (3) |
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5.1.3 Piezo-electric constitutive equations |
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93 | (3) |
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5.1.4 Piezo-electric coefficients |
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96 | (2) |
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5.1.5 Electro-mechanical coupling coefficient |
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98 | (2) |
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5.2 Piezo-electric materials |
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100 | (3) |
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5.2.1 Piezo-electric ceramic |
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100 | (2) |
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5.2.2 Piezo-electric polymers |
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102 | (1) |
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103 | (1) |
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5.4 Transducer construction |
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104 | (19) |
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5.4.1 Piezo-electric element |
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105 | (4) |
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109 | (1) |
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5.4.3 Acoustic impedance matching |
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110 | (3) |
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5.4.4 Electrical impedance matching |
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113 | (10) |
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123 | (24) |
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6.1 Continuous wave excitation |
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124 | (9) |
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6.1.1 Circular plane piston in a rigid baffle |
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125 | (6) |
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6.1.2 Rectangular plane piston in an infinite baffle |
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131 | (2) |
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133 | (3) |
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6.2.1 Transient radiation from a circular plane piston |
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134 | (2) |
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6.2.2 Transient radiation from a rectangular plane piston |
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136 | (1) |
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136 | (4) |
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6.3.1 Shaped piezo-electric elements |
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138 | (1) |
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139 | (1) |
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140 | (7) |
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141 | (2) |
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143 | (1) |
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6.4.3 Transducer array configurations |
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143 | (4) |
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147 | (30) |
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7.1 Standard ultrasonic imaging modes |
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147 | (13) |
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147 | (2) |
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149 | (1) |
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150 | (1) |
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151 | (1) |
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152 | (1) |
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152 | (1) |
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7.1.7 Curved anatomical M-mode |
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153 | (1) |
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7.1.8 Resolution of a B-mode image |
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153 | (1) |
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7.1.9 Factors affecting image quality |
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154 | (3) |
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157 | (2) |
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7.1.11 3D/4D B-mode methods |
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159 | (1) |
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160 | (9) |
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7.2.1 Single-beam Doppler methods |
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160 | (3) |
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7.2.2 Continuous wave Doppler |
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163 | (1) |
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7.2.3 Pulsed wave Doppler |
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163 | (2) |
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7.2.4 High pulse repetition frequency Doppler |
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165 | (1) |
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7.2.5 Directivity and spectral analysis |
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165 | (1) |
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166 | (1) |
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167 | (1) |
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168 | (1) |
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7.2.9 Blood flow measurement |
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169 | (1) |
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169 | (2) |
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7.3.1 Endosonographic methods |
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169 | (1) |
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7.3.2 Ultrasound-guided biopsy |
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170 | (1) |
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7.3.3 Tissue Doppler imaging (TDI) |
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170 | (1) |
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171 | (2) |
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171 | (1) |
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171 | (1) |
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171 | (1) |
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172 | (1) |
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172 | (1) |
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7.5 Biological effects of ultrasound and safety regulations |
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173 | (4) |
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173 | (1) |
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174 | (1) |
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175 | (1) |
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7.5.4 Concluding remarks on biological effects |
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175 | (2) |
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177 | (28) |
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177 | (1) |
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178 | (3) |
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8.3 Fundamental equation of bubble dynamics |
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181 | (1) |
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8.4 Pressure radiated by a bubble |
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182 | (1) |
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182 | (1) |
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183 | (3) |
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186 | (3) |
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189 | (2) |
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191 | (4) |
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8.9.1 Travelling sound wave |
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191 | (2) |
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8.9.2 Standing sound wave |
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193 | (1) |
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8.9.3 Radiation forces between bubbles |
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194 | (1) |
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195 | (6) |
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8.10.1 Flattening of the interface |
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196 | (2) |
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198 | (1) |
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8.10.3 No-slip interfaces |
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199 | (1) |
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200 | (1) |
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201 | (1) |
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201 | (4) |
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205 | (14) |
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9.1 Commercial ultrasound contrast agents |
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205 | (3) |
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208 | (1) |
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9.3 Some non-cardiac imaging applications |
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209 | (2) |
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209 | (1) |
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210 | (1) |
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9.3.3 Gastrointestinal tract |
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210 | (1) |
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211 | (1) |
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9.5 Increased drug uptake |
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211 | (1) |
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9.6 Causes of sonoporation |
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212 | (2) |
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214 | (1) |
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214 | (1) |
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214 | (1) |
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215 | (1) |
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216 | (1) |
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9.12 High-intensity focussed ultrasound |
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216 | (1) |
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217 | (2) |
A List of symbols |
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219 | (14) |
B Recommended reading |
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233 | (2) |
C Biographies |
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235 | (4) |
Index |
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239 | |