Electromagnetics in deterministic and stochastic bianisotropic media
Electromagnetics in deterministic and stochastic bianisotropic media
Electromagnetics in deterministic and stochastic bianisotropic media
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Determ<strong>in</strong>istic problems: Modell<strong>in</strong>g<br />
The time-harmonic case<br />
Tak<strong>in</strong>g the Fourier transform 6 , we obta<strong>in</strong><br />
<strong>and</strong> lett<strong>in</strong>g<br />
�A or := A or + � G d =<br />
� d = Aor�u + � G d�u , (12)<br />
�<br />
ε + �εd ξ + � ξd<br />
ζ + � �<br />
=:<br />
ζd µ + �µd<br />
we get the frequency doma<strong>in</strong> constitutive relations<br />
� εF ξ F<br />
ζ F<br />
�<br />
µ F<br />
, (13)<br />
� d = � Aor�u . (14)<br />
6 Let s be a proxy for the vector fields d, u, j, <strong>and</strong> ϖ be the angular<br />
frequency. Then s(t, x) = 1 � +∞<br />
2π −∞ e−iϖt �s(ϖ, x) dϖ.<br />
I. G. Stratis (Maths Dept, NKUA) Collège de France November 18, 2011 20 / 95
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