Angular Distribution Analysis in Acoustics

1 Introduction.- 2 The Free Wave Sound Field.- 2.1 Introduction.- 2.2 Properties of the Free Wave Field.- 2.2.1 Homogeneous Sound Fields in Ducts.- 2.2.2 The Free Wave Field.- 2.3 Spectral Density Measurement in Free Wave Fields: Cook's Theorem.- 2.3.1 Architectural Acoustics.- 2.3.2 Cook's Theorem for a Diffuse Field.- 2.3.3 Cook's Theorem and Ocean Acoustics.- 2.4 Extension of Cook's Theorem for Anisotropic Fields.- 2.4.1 Anisotropic Fields.- 2.4.2 Interpretation of the Plane Wave Weighting Function: Energy Flow.- 2.4.3 Application to Duct Acoustics.- 2.5 Summary.- References.- Figures.- 3 Inference of the Plane Wave Weighting Function From Spectral Density Measurements.- 3.1 Introduction.- 3.2 Cook's Theorem and Nondiffuse Fields.- 3.2.1 Applications of Cook's Theorem.- 3.2.2 Criteria of Diffuseness.- 3.3 Inductive Weighting Analysis: Parametric Models.- 3.3.1 Inductive Weighting Analysis: Sea Noise.- 3.3.2 Inductive Weighting Analysis: Fan Noise.- 3.3.3 Inductive Weighting Analysis: Room Fields.- 3.3.4 The Use of Parametric Weighting Families.- 3.3.5 Cosine-Power Weighting.- 3.3.6 Strip Function Weightings.- 3.3.7 Computational Applications of Strip Weightings.- 3.4 Direct Weighting Analysis: Theoretical Inverse.- 3.4.1 Use of Theoretical Inverse.- 3.4.2 Practical Application.- 3.5 Direct Weighting Analysis: Wavenumber Spectra.- 3.5.1 Fundamental Properties.- 3.5.2 Wavenumber Spectra for Parametric Model Weighting.- 3.5.3 Truncation Effects.- 3.5.4 Practical Applications.- 3.6 Direct Weighting Analysis: Stationary Phase Approximation.- 3.7 Direct Weighting Analysis: Spherical Harmonic Expansions.- 3.7.1 Fundamental Properties.- 3.7.2 Harmonic Expansions of CCSD, Weighting.- 3.7.3 Fundamental Limitations.- 3.7.4 Practical Applications.- 3.8 Conclusions.- References.- Figures.- 4 The Spherical Harmonic Analysis of Free Wave Fields in Practice.- 4.1 Introduction.- 4.2 Formulation of the Harmonic Search Problem: Least Squares Fitting.- 4.2.1 Preliminary Formulation.- 4.2.2 Weighting Factor; Real and Imaginary Data Fitting.- 4.2.3 Regression Analysis: solution of problem.- 4.2.4 Regression Analysis: measures of statistical quality.- 4.2.5 Regression Analysis: collinearity.- 4.2.6 Summary.- 4.3 Harmonic Analysis of the Gravitational and Magnetic Fields of Planets.- 4.3.1 Geomagnetism.- 4.3.2 The Magnetic Fields of Jupiter and Saturn.- 4.3.3 The Earth's Gravitational Field.- 4.3.4 Summary.- 4.4 Development of Harmonic Search Procedure.- 4.4.1 Introduction.- 4.4.2 Basis of Development.- 4.4.3 Model Experiment Data.- 4.4.4 Design of Experiment: CCSD Sampling.- 4.4.5 Design of Variable Hoppers.- 4.4.6 Simple FS, BE Search Procedures.- 4.4.7 Stepwise Search Procedure.- 4.4.8 Statistical Properties of Results.- 4.4.9 Collinearity Safeguards.- 4.4.10 Origin of Collinearity.- 4.4.11 Final program.- 4.5 Development of Axisymmetric Harmonic Search Procedure.- 4.5.1 Simple FS Search Procedure.- 4.5.2 Stepwise Procedure: Collinearity Safeguards.- 4.6 Properties of Analysis Results.- 4.6.1 Results of Analysis.- 4.6.2 Sensitivity to data errors.- 4.7 Conclusions.- References.- Figures.- Tables.- 5 Summary.- Appendix A.- Appendix B.- Appendix C.