Hyrdoacoustic Ocean Exploration (eBook)

I.B. Abbasov PhD, is a specialist in computer engineering, aerospace engineering, and industrial design at the Southern Federal University in Russia. He has numerous publications to his credit, focusing on the use of mathematical modeling and high-level computer programming for practical applications, such as ocean exploration.

Introduction 1

1 Scattering of Nonlinear Interacting Plane Acoustic Waves by a Sphere 7

1.1 Review of Studies Dealing with the Scattering of Plane Acoustic Waves by a Sphere 7

1.2 Problem Statement 10

1.3 Solving via the Inhomogeneous Equation with the Successive Approximations Method 13

1.4 Investigation of Acoustic Field of Difference Frequency 16

1.5 Investigation of Acoustical Field of the Sum Frequency Wave 34

1.6 Investigation of Acoustical Field of the Second Harmonics 36

1.7 Experimental Investigation Scattering of the Field of Acoustic Parametric Antenna by a Hard Sphere 48

1.7.1 Experimental Setup and Metrological Support for the Experiment 48

1.7.2 Results of the Experiments 52

1.7.3 Analysis of Combined Scattering Diagrams of the Nonlinear Interacting Plane Acoustic Waves by a Hard Sphere 61

1.8 A Comparative Analysis of Assumption and Experimental Scattering Diagrams for Secondary Field Waves 65

1.9 Conclusion 68

2 Scattering of Nonlinear Interacting Plane Acoustic Waves by a Cylinder 71

2.1 Review of Plane Acoustic Waves Scattering by a Cylinder 71

2.2 Statement of Problem 75

2.3 Investigation of Acoustic Field of Difference Frequency 79

2.4 Investigation of Acoustic Field of Sum Frequency 93

2.5 Investigation of Acoustic Field of the Second Harmonic 96

2.6 Discussion and Comparison of Results 108

2.7 Conclusion 113

3 Research of the Scattering of Nonlinear Interacting Plane Acoustic Waves by an Elongated Spheroid 115

3.1 Review of Plane Acoustic Waves Scattering by an Elongated Spheroid 115

3.2 Wave problems in Elongated Spheroidal Coordinates 118

3.3 Statement of Problem 120

3.4 Investigation of the Acoustic Field of Difference Frequency Wave 124

3.5 Investigation of the Acoustic Field of Sum Frequency 142

3.6 Investigation of the Acoustic Field of Second Harmonics 148

3.7 Discussion and Comparison of Results 160

3.8 Conclusion 164

References 165

Index 173