- #1
billybomb87
- 7
- 0
Homework Statement
A medium is described by the response functions [tex]\varepsilon (\omega )[/tex] and [tex]{\mu ^{ - 1}}(\omega )[/tex] in
[tex]\textbf{D} = \varepsilon (\omega )\textbf{E}, \textbf{H} = {\mu ^{ - 1}}(\omega )\textbf{B}.[/tex]
Construct the equivalent dielectric tensor [tex]{K_{ij}}(\omega ,\textbf{k})[/tex] in terms of [tex]\varepsilon (\omega )[/tex] and [tex]{\mu ^{ - 1}}(\omega )[/tex]
Homework Equations
[tex]\textbf{D} = \varepsilon (\omega )\textbf{E}[/tex]
[tex]\textbf{H} = {\mu ^{ - 1}}(\omega )\textbf{B}[/tex]
[tex]\textbf{P} = {\varepsilon _0}{\chi ^e}\textbf{E}[/tex]
[tex]\textbf{M} = {\chi ^m}\textbf{B}/{\mu _0}[/tex]
[tex]{P_i} = {\varepsilon _0}\chi _{ij}^e{E_j}[/tex]
[tex]{M_i} = \chi _{ij}^m{B_j}/{\mu _0}[/tex]
The Attempt at a Solution
I seriously have no idea. I know what the answer should be but I only need a push in the right direction. Dont know where to start or how to attack the problem. All help is appreciated.