Jump to content

User:Maschen/Electromagnetic displacement tensor

From Wikipedia, the free encyclopedia

The electromagnetic displacement tensor (no standard name) combines the D and H vector fields

It is used for covariant formulations of Maxwell's equations in media (sources are free charges and currents), as well as constitutive equations

where F is the electromagnetic field tensor, and E a fourth order tensor to account for anisotropy in the media.

The Lorentz transformations of the D and H fields are readily obtained from

compared to the tedious transformations of the 3d vector fields.

Just as the electromagnetic field tensor, the displacement tensor can be derived from an appropriate potential

allowing for a covariant formulation using potentials in matter.

See also

[edit]

References

[edit]