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Table of Contents
Preface; Article note; Contents; Chapter 1; Introduction; 1.1 An Overview; 1.2 Linear and 2-D Arrays; 1.3 Modeling Ultrasonic Phased Array Systems; 1.4 Book Outline; References; Chapter 2; Acoustic Field of a 1-D Array Element; 2.1 Single Element Transducer Models (2-D); 2.2 Far Field Waves; 2.3 Numerical Piston Element Models; 2.4 Line Source Models; 2.5 Radiation Through a Planar Interface; References; Chapter 3; Large, Single Element Transducer Models; 3.1 The Paraxial Approximation and a Fresnel Integral Model; 3.2 Beam Steering and Focusing of a Large Element; 3.2.1 Beam Steering
3.2.2 Steering in the Far Field3.2.3 Beam Focusing; 3.2.4 Beam Steering and Focusing; 3.3 Amplitude Weighting; 3.4 Multi-Gaussian Beam Model; 3.5 Summary; References; Chapter 4; Phased Array Beam Modeling (1-D Elements); 4.1 Phased Array Beam Models; 4.1.1 Far Field Behavior of an Array; 4.2 Array Beam Steering; 4.3 Array Beam Focusing; 4.4 Array Amplitude Weighting; 4.5 Array Beam Modeling Examples; 4.6 Use of Gaussians for Modeling Phased Array Beam Fields; 4.7 Beam Steering and Focusing through a Planar Interface; References; Chapter 5; Time Delay Laws (2-D)
5.1 Delay Laws for a Single Medium5.2 Steering and Focusing Through a Planar Interface; References; Chapter 6; Acoustic Field of a 2-D Array Element; 6.1 Single Element Transducer Models (3-D); 6.2 Far Field Waves; 6.3 Numerical Point Source Piston Model; 6.4 Contact Transducer Element Modeling; 6.5 Radiation Through a Planar Interface; 6.6 Gaussian Beam Equivalent Point Source Modeling; References; Chapter 7; Phased Array Beam Modeling (2-D Elements); 7.1 Phased Array Beam Models-Single Medium; 7.1.1 Far Field Behavior of an Array; 7.1.2 Beam Steering in 3-D
7.2 Radiation Through a Planar Interface7.3 Array Beam Modeling Examples; References; Chapter 8; Time Delay Laws (3-D); 8.1 Beam Steering in 3-D; 8.2 Beam Steering and Focusing in 3-D; 8.3 Beam Steering Through a Planar Interface; 8.4 Beam Steering and Focusing Through a Planar Interface; Reference; Chapter 9; Linear System Modeling of Phased Arrays; 9.1 Linear System Modeling and Sound Generation; 9.2 Linear System Modeling and Sound Reception; 9.3 The Reception Process and Grating Lobes; 9.4 Linear System Model of the Complete Ultrasonic Measurement Process; References; Chapter 10
Phased Array System Functions10.1 Acoustic/Elastic Transfer Function Models; 10.2 Array Element System Functions; References; Chapter 11; Measurement Models for Ultrasonic Arrays; 11.1 Reciprocity Relations; 11.2 An Ultrasonic Measurement Model for Immersion Setups; 11.3 An Ultrasonic Measurement Model for Contact Setups; 11.4 A Reduced Measurement Model for Small Flaws; 11.5 Measurement Models for Quantitative Imaging; 11.6 Measurement Models for 2-D Problems; References; Chapter 12 ; Imaging with Phased Arrays-An Introduction; 12.1 SAFT Imaging; 12.2 TFM Imaging
3.2.2 Steering in the Far Field3.2.3 Beam Focusing; 3.2.4 Beam Steering and Focusing; 3.3 Amplitude Weighting; 3.4 Multi-Gaussian Beam Model; 3.5 Summary; References; Chapter 4; Phased Array Beam Modeling (1-D Elements); 4.1 Phased Array Beam Models; 4.1.1 Far Field Behavior of an Array; 4.2 Array Beam Steering; 4.3 Array Beam Focusing; 4.4 Array Amplitude Weighting; 4.5 Array Beam Modeling Examples; 4.6 Use of Gaussians for Modeling Phased Array Beam Fields; 4.7 Beam Steering and Focusing through a Planar Interface; References; Chapter 5; Time Delay Laws (2-D)
5.1 Delay Laws for a Single Medium5.2 Steering and Focusing Through a Planar Interface; References; Chapter 6; Acoustic Field of a 2-D Array Element; 6.1 Single Element Transducer Models (3-D); 6.2 Far Field Waves; 6.3 Numerical Point Source Piston Model; 6.4 Contact Transducer Element Modeling; 6.5 Radiation Through a Planar Interface; 6.6 Gaussian Beam Equivalent Point Source Modeling; References; Chapter 7; Phased Array Beam Modeling (2-D Elements); 7.1 Phased Array Beam Models-Single Medium; 7.1.1 Far Field Behavior of an Array; 7.1.2 Beam Steering in 3-D
7.2 Radiation Through a Planar Interface7.3 Array Beam Modeling Examples; References; Chapter 8; Time Delay Laws (3-D); 8.1 Beam Steering in 3-D; 8.2 Beam Steering and Focusing in 3-D; 8.3 Beam Steering Through a Planar Interface; 8.4 Beam Steering and Focusing Through a Planar Interface; Reference; Chapter 9; Linear System Modeling of Phased Arrays; 9.1 Linear System Modeling and Sound Generation; 9.2 Linear System Modeling and Sound Reception; 9.3 The Reception Process and Grating Lobes; 9.4 Linear System Model of the Complete Ultrasonic Measurement Process; References; Chapter 10
Phased Array System Functions10.1 Acoustic/Elastic Transfer Function Models; 10.2 Array Element System Functions; References; Chapter 11; Measurement Models for Ultrasonic Arrays; 11.1 Reciprocity Relations; 11.2 An Ultrasonic Measurement Model for Immersion Setups; 11.3 An Ultrasonic Measurement Model for Contact Setups; 11.4 A Reduced Measurement Model for Small Flaws; 11.5 Measurement Models for Quantitative Imaging; 11.6 Measurement Models for 2-D Problems; References; Chapter 12 ; Imaging with Phased Arrays-An Introduction; 12.1 SAFT Imaging; 12.2 TFM Imaging