This chapter details the practical restoration of magnetic multipole images for complex sources using axisymmetric sensor arrangements, including spheroidal, cylindrical, and planar arrays. These procedures enable the separation of internal magnetic sources from external noise, a critical requirement for high-precision applications. By applying spatial harmonic analysis, the text characterizes elongated sources like marine vehicles through their magnetostatic energy and multipole coefficients. The methodology differentiates between static configurations and dynamic ranging, where the source moves relative to the sensors. A primary innovation is the use of orthonormal “K-functions” to invert measured field data into spheroidal expansions with high numerical accuracy. Validated against a permeable shell model, this approach achieves relative errors on the order of 10−5, facilitating robust multipole restoration at existing ranging facilities.

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Measurement Procedures for Spatial Harmonic Analysis

  • Alexander V. Kildishev

摘要

This chapter details the practical restoration of magnetic multipole images for complex sources using axisymmetric sensor arrangements, including spheroidal, cylindrical, and planar arrays. These procedures enable the separation of internal magnetic sources from external noise, a critical requirement for high-precision applications. By applying spatial harmonic analysis, the text characterizes elongated sources like marine vehicles through their magnetostatic energy and multipole coefficients. The methodology differentiates between static configurations and dynamic ranging, where the source moves relative to the sensors. A primary innovation is the use of orthonormal “K-functions” to invert measured field data into spheroidal expansions with high numerical accuracy. Validated against a permeable shell model, this approach achieves relative errors on the order of 10−5, facilitating robust multipole restoration at existing ranging facilities.