PREFACE |
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ACKNOWLEDGMENTS |
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INTRODUCTION |
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Prelude and Basic Definitions |
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The Advantages of Using Ultrasound in Medicine |
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A General Statement on Safety |
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Some Common Applications of Ultrasound |
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What Is It that We Need to Know? |
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1 WAVESA GENERAL DESCRIPTION |
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1.1 General Definitions of WavesA Qualitative Description |
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1.2 General Properties of WavesA Qualitative Description |
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1.2.1 Interference and the Superposition Principle |
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1.2.2 Reflection and Transmission of Waves |
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1.3 Mechanical One-Dimensional Waves |
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1.6.1 Equivalent Presentations |
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1.9 Standing Waves (a Mathematical Description) |
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1.12 The Wave Equation in a Nonhomogeneous Medium |
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1.12.1 The Born Approximation |
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1.12.2 The Rytov Approximation |
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2 WAVES IN A ONE-DIMENSIONAL MEDIUM |
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2.1 The Propagation Speed of Transverse Waves in a String |
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2.2 Vibration Frequencies for a Bounded String |
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2.3 Wave Reflection (Echo) in a One-Dimensional Medium |
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2.5 Wave Energy in Strings |
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2.6 Propagation of Longitudinal Waves in an Isotropic Rod or String |
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2.7 A Clinical Application of Longitudinal Waves in a String |
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3 ULTRASONIC WAVES IN FLUIDS |
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3.3. Longitudinal Waves in Fluids |
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4 PROPAGATION OF ACOUSTIC WAVES IN SOLID MATERIALS |
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4.1 Introduction to the Mechanics of Solids |
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4.1.3 Special Issues to Be Noted when Investigating Wave Propagation in Solids |
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4.4 Hooke's Law and Elastic Coefficients |
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4.5 The Wave Equation for an Elastic Solid Material |
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4.6 Propagation of a Harmonic Planar Wave in a Solid Material |
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5 ATTENUATION AND DISPERSION |
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5.1 The Attenuation Phenomenon |
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5.2 Explaining Attenuation with a Simple Model |
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5.3 Attenuation Dependency on Frequency |
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5.4 The Complex Wave Number |
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5.5 Speed of Sound Dispersion |
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5.6 The Nonlinear Parameter B/A |
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6 REFLECTION AND TRANSMISSION |
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6.1 The Acoustic Impedance |
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6.1.1 The Relation Between Particle Velocity and Pressure |
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6.1.2 An Exemplary Function φ |
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6.1.3 Definition of the Acoustic Impedance |
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6.1.4 The Relation Between the Impedance and the Wave Intensity |
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6.3 Reflection and Transmission from Boundaries Separating Two fluids (or Solids with No Shear Waves) |
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6.3.2 Reflection and Transmission Coefficients |
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6.4 Reflection from a Free Surface in Solids (Mode Conversion) |
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6.5 Reflection and Transmission from a LiquidSolid Boundary |
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6.5.1 Case #1: From a Fluid to a Solid |
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6.5.2 Case #2: From a Solid to a Fluid |
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6.5.3 An Exemplary Application |
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7 ACOUSTIC LENSES AND MIRRORS |
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7.4.2 Focal Point Properties |
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7.6 Acoustic Mirrors (Focusing Reflectors) |
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8 TRANSDUCERS AND ACOUSTIC FIELDS |
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8.1 Piezoelectric Transducers |
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8.3 The Field of a Point Source |
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8.4 The Field of a Disc Source |
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8.4.1 Near Field and Far Field |
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8.4.2 The Acoustic Far (Off Axis) Field |
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8.5 The Field of Various Transducers |
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8.5.1 The Field of a Ring Source |
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8.5.2 The Field of a Line Source |
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8.5.3 The Field of a Rectangular Source |
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8.6 Phased-Array Transducers |
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8.6.1 The General Field from an Array Source |
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8.6.2 The Field of a Linear Phased Array |
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8.6.3 Far-Field Approximation for a Linear Phased Array |
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8.6.4 Grating Lobes for a Linear Phased Array |
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8.6.5 Beam Steering with a Linear Phased Array |
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8.6.6 Maximal Steering Angle for a Linear Phased Array |
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8.6.7 Beam Forming with a Linear Phased Array |
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8.7 Annular Phased Arrays |
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8.7.1 Steering the Focal Point of an Annular Array |
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9 ULTRASONIC IMAGING USING THE PULSE-ECHO TECHNIQUE |
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9.1 Basic Definitions in Imaging |
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9.1.1 Image and Data Acquisition |
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9.1.3 Signal-to-Noise Ratio |
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9.2.2 Extending the Model |
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9.3 Scatter Model for Soft Tissues |
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9.3.1 The Speckle Texture |
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9.4 Time Gain Compensation |
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9.5 Basic Pulse-Echo Imaging (B-Scan) |
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9.5.1 Conversion to Gray Levels |
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9.5.3 Spatial MappingThe Simple Model |
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9.5.4 Deconvolution Methods |
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9.6 Advanced Methods for Pulse-Echo Imaging |
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9.6.1 Second Harmonic Imaging |
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9.6.2 Multifrequency Imaging |
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9.6.4 Three-Dimensional Imaging |
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9.6.5 Semi-invasive Imaging |
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9.6.5.1 Trans-esophageal Echo |
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9.6.5.2 Intra-vaginal Imaging |
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9.6.5.3 Trans-rectal Imaging |
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9.6.6.1 Intravascular Ultrasound |
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9.6.6.2 Intraventricular Echo |
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9.6.6.6 Laparoscopic Ultrasonic Imaging |
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10 SPECIAL IMAGING TECHNIQUES |
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10.1 Acoustic Impedance ImagingImpediography |
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10.3 Tissue Speckle Tracking |
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10.4 Through-Transmission Imaging |
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10.4.1 Acoustic Projection Imaging |
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10.5 Vibro-acoustic Imaging |
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10.7 Ultrasonic Computed Tomography |
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10.7.1 Basic Computed Tomography Principles |
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10.7.2 Spiral Computed Tomography |
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10.7.3 Diffractive Tomography |
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11 DOPPLER IMAGING TECHNIQUES |
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11.3 Frequency Shift Estimation |
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11.4 Duplex Imaging (Combined B-Scan and Color Flow Mapping) |
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12 SAFETY AND THERAPEUTIC APPLICATIONS |
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12.1 Effects Induced by Ultrasound and Safety |
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12.1.2 Cavitation Bubbles |
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12.1.3 Additional Effects |
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12.2 Ultrasonic Physiotherapy |
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12.3.1 Principles of Operation |
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12.4 Hyperthermia HIFU and Ablation |
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12.7 Cosmetic Applications |
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APPENDIX A: TYPICAL ACOUSTIC PROPERTIES OF TISSUES |
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Table A.1: Typical Density, Speed of Sound, and Acoustic Impedance Values |
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Table A.2: Typical Attenuation and B/A Values |
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APPENDIX B: EXEMPLARY PROBLEMS |
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APPENDIX C: ANSWERS TO EXEMPLARY PROBLEMS |
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INDEX |
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