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1.2 Ultrasonic System Modeling An Overview |
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1.3 Some Remarks on Notation |
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1.4 Organization of the Book |
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2.1 Characteristics of a Pulser |
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2.2 Measurement of the Circuit Parameters of a Pulser |
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3.2 Measurement of the Cabling Transfer Matrix |
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4 Transmitting Transducer and the Sound Generation Process |
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4.2 Transducer Acoustic Radiation Impedance |
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4.3 Transducer Impedance and Sensitivity |
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4.4 The Sound Generation Process |
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5 The Acoustic/Elastic Transfer Function and the Sound Reception Process |
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5.1 Wave Processes and Sound Reception |
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5.3 The Acoustic/Elastic Transfer Function |
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5.4 The Acoustic Sources and Transducer on Reception |
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5.5 The Cable and the Receiver in the Reception Process |
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5.6 A Complete Reception Process Model |
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6 Transducer Characterization |
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6.1 Transducer Electrical Impedance |
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6.2 Transducer Sensitivity |
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6.3 Transducer Effective Radius and Focal Length |
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7 The System Function and Measurement System Models |
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7.1 Direct Measurement of the System Function |
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7.2 System Efficiency Factor |
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7.3 Complete Measurement System Modeling |
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8 Transducer Sound Radiation |
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8.1 An Immersion Transducer as a Baffled Source |
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8.2 An Angular Plane Wave Spectrum Model |
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8.3 A Rayleigh-Sommerfeld Integral Transducer Model |
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8.4 On-Axis Behavior of a Planar Circular Piston Transducer |
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8.5 The Paraxial Approximation |
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8.6 Far field On-Axis and Off-Axis Behavior |
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8.7 A Spherically Focused Piston Transducer |
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8.8 Wave Field in the Plane at the Geometrical Focus |
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8.9 Radiation of a Focused Transducer through an Interface |
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8.10 Sound Beam in a Solid Generated by a Contact Transducer |
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8.11 Angle Beam Shear Wave Transducer Model |
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8.12 Transducer Beam Radiation through Interfaces |
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8.13 Acoustic/Elastic Transfer Function - Focused Transducer |
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8.14 Acoustic/Elastic Transfer Function - Rectangular Transducer |
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9 Gaussian Beam Theory and Transducer Modeling |
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9.1 The Paraxial Wave Equation and Gaussian Beams in a Fluid |
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9.2 The Paraxial Wave Equation and Gaussian Beams in a Solid |
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9.3 Transmission/Reflection of a Gaussian Beam at an. Interface |
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9.4 Gaussian Beams and ABCD Matrices |
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9.5 Multi-Gaussian Transducer Beam Modeling |
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10 Flaw Scattering |
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10.1 The Far-Field Scattering Amplitude |
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10.2 The Kirchhoff Approximation for Volumetric Flaws |
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10.3 The Leading Edge Response of Volumetric Flaws |
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10.4 The Kirchhoff Approximation for Cracks |
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10.5 Validity of the Kirchhoff Approximation |
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10.6 The Kirchhoff Approximation for Side-drilled Holes |
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10.7 The Born Approximation |
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10.8 Separation of Variables Solutions |
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10.9 Other Scattering Models and Methods |
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11 Ultrasonic Measurement Models |
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11.1 Reciprocity-based Measurement Model |
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11.2 The Thompson-Gray Measurement Model |
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11.3 A Measurement Model for Cylindrical Reflectors |
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12 Ultrasonic Measurement Modeling with MATLAB |
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12.1 A Summary of the Measurement Models |
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12.2 The Multi-Gaussian Beam Model |
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12.3 Measurement Model Input Parameters |
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12.4 A Multi-Gaussian Beam Model in MATLAB |
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12.5 Ultrasonic Attenuation in the Measurement Model |
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12.7 Flaw Scattering Models |
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12.8 The Thompson-Gray Measurement Model |
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12.9 A Large Flaw Measurement Model |
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12.10 A Measurement Model for Cylindrical Reflectors |
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13 Applications of Ultrasonic Modeling |
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13.1 Obtaining Flaw Scattering Amplitudes Experimentally |
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13.2 Distance-Amplitude-Correction Transfer Curves |
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13.3 Angle Beam Inspection Models and Applications |
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13.4 Model-Assisted Flaw Identification |
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13.5 Model-Assisted Flaw Sizing |
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A Fourier Transforms and the Delta Function |
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A.1 The Fourier Transform and Its Inverse |
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A.2 The Discrete Fourier Transform |
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B Impedance Concepts and Equivalent Circuits |
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B.3 Measurement of Equivalent Sources and Impedances |
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C Linear System Fundamentals |
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C.2 Linear Time-Shift Invariant (LTI) Systems |
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D Wave Propagation Fundamentals |
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D.2 Plane Waves in a Fluid |
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D.3 Waves in an Isotropic Elastic Solid |
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D.4 Plane Waves in an Isotropic Elastic Solid |
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D.5 Reflection/Refraction of Plane Waves - Normal Incidence |
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D.6 Reflection/Refraction of Plane Waves - Oblique Incidence |
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D.8 Ultrasonic Attenuation |
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E Waves Used in Nondestructive Evaluation |
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F Gaussian Beam Fundamentals |
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F.1 Gaussian Beams and the Paraxial Wave Equation |
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543 | |
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F.2 Quasi-Plane Wave Conditions and the Paraxial Approximation |
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549 | |
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F.3 Transmission/Reflection of a Gaussian Beam |
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F.4 Gaussian Beams at Multiple Interfaces and ABCD Matrices |
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558 | |
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F.5 Multi-Gaussian Beam Modeling |
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568 | |
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G MATLAB Functions and Scripts |
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575 | |
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G.1 Fourier Analysis Functions |
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575 | |
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578 | |
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G.3 Ultrasonic Beam Modeling Functions |
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578 | |
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G.4 Flaw Scattering Functions |
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580 | |
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G.5 Ultrasonic Measurement Modeling Functions |
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581 | |
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G.6 Miscellaneous Functions |
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582 | |
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G.7 MATLAB Script Examples |
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G.8 Code Listings of Some Supporting Functions |
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Index |
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