Fig.1

Equivalent schematic diagram of equivalence between two magnetic dipoles and a single magnetic dipole"

Fig.2

Relationship between the position distribution of the equivalent magnetic dipole and the equivalent error (magnetic moment ratio is 3∶1)"

Fig.3

Relationship of the ratio between the position of the equivalent single magnetic dipole and the magnetic moment of the double magnetic dipole"

Fig.4

Total magnetic field distribution of two magnetic dipoles and a single magnetic dipole under different spatial scales"

Fig.5

Total magnetic field distribution of three magnetic dipoles and a single magnetic dipole under different spatial scales"

Table 1

Comparison of the equivalent consistency of the total magnetic field between two or three magnetic dipoles and single magnetic dipole in different spatial scales  %"

Fig.6

Analysis of lower bound of the equivalent consistency"

Fig.7

Total magnetic field distribution of the eight magnetic dipole arrays with different magnetic moments"

Fig.8

Schematic diagram of multiple magnetic dipole array"

Fig.9

Layer-by-layer equivalent diagram of multiple magnetic dipole array"

Fig.10

A submarine model built with COMSOL"

Fig.11

Schematic diagram of spatial distribution of submarine magnetic induction field"

Fig.12

Schematic diagram of the relationship between the submarine's near and far field magnetic dipole model and measurement points"

Fig.13

Total magnetic field distribution calculated with the simplest multiple magnetic dipole model and the COMSOL submarine model"

Fig.14

Equivalent consistency of the simplest multiple magnetic dipole model under spatial multi-scale conditions"