Refractive index for magnetic material

[wasi-uz-zaman]

hi, I have studied the general expression for metamaterial as

n=√(εμ)
for dielectric relative permeability is one and we have
n=√ε,
but what would be the refractive index for magnetic material , by seeing symmetry I figure out as
n=√μ
will it be valid and we have Lorentz model for dielectric do we have some model for magnetic material.
thanks
wasi

 

[DrDu]

This is possible but not very general. Magnetic effects are but a special case of spatial dispersion. It is better to set $\mu=1$ and describe all possible magnetic effects in terms of a dielectric function depending not only on frequency but also on wavenumber, i.e. $n=\sqrt{\epsilon(\omega,\mathbf{k})}$.

 

[wasi-uz-zaman]

thanks but for magnetic material
n=√μ

is this a valid expression for refractive index of magnetic materials.

 

[DrDu]

Yes, of course

 

[wasi-uz-zaman]

thanks a lot