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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Time-harmonic Problems – The Interior Problem<br />
Scatter<strong>in</strong>g problems – BIEs<br />
Another very well developed area of research regard<strong>in</strong>g chiral <strong>media</strong> <strong>in</strong> the<br />
time-harmonic regime deals with scatter<strong>in</strong>g problems.<br />
Consider that an electromagnetic wave propagat<strong>in</strong>g <strong>in</strong> a chiral (or achiral)<br />
homogeneous environment is <strong>in</strong>cident upon a chiral (or achiral) obstacle.<br />
Depend<strong>in</strong>g on the materials with which the surround<strong>in</strong>g space <strong>and</strong> the<br />
obstacle are filled, <strong>and</strong> on the boundary condition(s) on the obstacle’s<br />
surface, a variety of scatter<strong>in</strong>g problems (exterior BVPs, transmission<br />
problems) is treated. For example,<br />
Us<strong>in</strong>g classical potentials, BIEs are employed to study the solvability,<br />
the determ<strong>in</strong>ation of uniquely solvable equations, <strong>and</strong> the<br />
“low-chirality” approximation:<br />
Ammari, Nédélec / Athanasiadis, S / Athanasiadis, Costakis, S /<br />
Athanasiadis, Mart<strong>in</strong>, S / Mitrea / Ola.<br />
I. G. Stratis (Maths Dept, NKUA) Collège de France November 18, 2011 28 / 95
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