Magnetization ( $M$ )

Magnetization is magnetic dipole moment per unit volume. It produces bound volume and surface currents

J_{b} = \nabla \times M, K_{b} = M \times n .

Across an interface, the net bound sheet current is

(M_{1} - M_{2}) \times n

.

Table of contents
- Magnetization current Magnetization
- Magnetic field intensity Magnetization

Magnetization current ( $J_{mag}^{μ}$ )

A relativistic magnetization current has the form

J_{mag}^{μ} = \partial_{ν} M^{νμ}

for an antisymmetric polarization-magnetization tensor. It is identically conserved because commuting derivatives contract an antisymmetric tensor.

Magnetic field intensity ( $H$ )

The magnetic field intensity is

H = B / μ_{0} - M

and obeys

\nabla \times H = J_{free}

in magnetostatics. In a linear isotropic medium,

B = μ H

.

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Magnetization refers to the vector field that expresses the magnetic moment per unit volume of a material. It is a measure of how much a material responds to an applied magnetic field and is used to understand its magnetic properties.

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