Optical Imaging of Ultrasonic Fields by Acoustic Bragg Diffraction (PhD thesis)

[TITLE]......Page 3
[CONTENTS]......Page 7
CHAPTER I. INTRODUCTION......Page 11
2.1 The Wave Vector Diagram......Page 24
2.2 In Two Dimensions......Page 28
2.3 In Three Dimensions......Page 36
CHAPTER III. HEURISTIC RAY APPROACH......Page 51
3.1 In Two Dimensions......Page 52
3.2 In Three Dimensions with Line Source Illumination......Page 58
3.3 In Three Dimensions with Point Source Illumination......Page 70
4.1 Basic Assumptions......Page 77
4.2 General Equations for the Scattered Field......Page 79
4.3 Weak Interaction Equations......Page 81
4.3.1 Harmonic components......Page 82
5.1 The Eikonal Equation for the Scattered Field......Page 86
5.2 Application to Two-Dimensional Imaging......Page 93
5.3 Application to Three-Dimensional Imaging......Page 98
CHAPTER VI. WAVE THEORY......Page 104
6.1 The Homogeneous Plane Wave Spectrum......Page 106
6.1.1 Fields satisfying the homogeneous Helmholtz equation......Page 107
6.1.2 Fields satisfying the inhomogeneous Helmholtz equation......Page 108
6.2 The Homogeneous Plane Wave Spectrum Applied to Imaging......Page 111
6.3 The Plane Wave Spectrum of the Scattered Field......Page 113
6.3.1 In three dimensions......Page 117
6.3.2 In two dimensions......Page 119
6.4.1 Illumination by a homogeneous isotropic line source......Page 123
6.4.2 Arbitrary illumination......Page 127
6.4.3 Experimental illumination......Page 130
6.5.1 General two-dimensional illumination......Page 134
6.5.2 Illumination by a homogeneous isotropic line source......Page 140
6.5.3 Illumination by a homogeneous isotropic point source......Page 144
7.1 Point Source Illumination of a Point Sound Source......Page 153
[Missing pages: 154, 155]......Page 154
7.2 Line Source Illumination of a Point Sound Source......Page 161
7.3 Imaging of a Two-Dimensional Sound Field......Page 169
7.4 Imaging of a Three-Dimensional Sound Field......Page 174
APPENDIX A. DERIVATION OF THE HOMOGENEOUS PLANE WAVE SPECTRUM......Page 180
APPENDIX B. DERIVATION OF RING TYPE IMAGE......Page 184
APPENDIX C. BRIGHTNESS OF RING TYPE IMAGE......Page 188
LIST OF SYMBOLS......Page 191
SUMMARY......Page 193
SAMENVATTING......Page 196
CURRICULUM VITAE......Page 201
CURRICULUM VITAE......Page 203
STELLINGEN......Page 205