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Full Description
This book explores spatial harmonic analysis (SHA) for the characterization and analysis of external magnetic fields in technical systems. Its strong emphasis on addressing real engineering challenges and a practical focus on both spherical and spheroidal harmonics sets it apart, with the latter being particularly valuable for analyzing objects with high aspect ratios. The content is particularly applicable to naval and spacecraft applications and the rapidly growing field of autonomous unmanned vehicles, including aerial, surface, and underwater vehicles. In these contexts, precise control of magnetic signatures is crucial for navigation, detection avoidance, and overall operational effectiveness. The author offers multiple original concepts that include fast algorithms for spheroidal harmonic functions, which make them computationally feasible for real-world applications, the use of magnetic energy as a general metric of the magnetic intensity of a given device, and isodynamic surfaces to identify regions of maximum magnetic field extension.
Magnetic Signatures: Advanced Analysis for Modern Systems combines rigorous mathematical foundations with practical implementation strategies and is an essential resource for designing and operating magnetically sensitive systems across various domains.
Contents
Introduction.- Theoretical Basis for Description of External Electromagnetic Fields.- the Electric Field.- the Spatial Harmonic Analysis in Electrostatics: Basic Concepts.- the Magnetic Field.- Fundamentals of the Electromagnetic Theory: Maxwell's Equations.- Analytical Simulation of VLF or Static Sources.- VLF Magnetic Multipoles.- Characterization of Sources by Evaluation of Magnetic Energy.- Prolate Spheroidal Magnetic Multipoles.- the Spatial Harmonic Characterization of an Elongated VLF Source.- the Spatial Harmonic Characterization of a Flattened VLF Source.- Complex VLF or Static Magnetic Sources: Numerical Simulation and Spatial Harmonic Analysis.- Hybrid Fem-Sha Coupling Strategy.-Spheroidal Harmonic Analysis Using FEM Results.- Simulations Using SHA-FEM Coupling.- Measurement Procedures for Spatial Harmonic Analysis.- Spatial Harmonic Analysis Using Axisymmetric Sensor Arrangements.- Generation of the Selective Functions Using Gram-Schmidt Orthonormalization.- Prolate Spheroidal Multipole Analysis Using a Prolate Spheroidal Array.- Generation of the Selective Functions for a Prolate Spheroidal Array with Axial Magnetic Sensors: Indirect Method.- Oblate Spheroidal Multipole Analysis Using Axisymmetric Arrays.- Selective Functions of the Rectangular Planar Array of Sensors.- Generation of the Selective Functions for a Non-Axisymmetric Rectangular Planar Array by the Forward Orthonormalization.- Modeling of Sensor Noise, Misplacement and Misorientation.- Addendum A: Application of Recurrence Relations for Spherical Harmonic Analysis.- Addendum B: Application of Recurrence Relations for Spheroidal Harmonic Analysis.- Addendum C: Coordinate Systems and Vector Transformations.- Metric Coefficients.- Vector Transforms.



