A Semigroup Formulation for Electromagnetic Waves in Dispersive Dielectric Media
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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We consider Maxwell systems with instantaneous conductivity and nonlocal in time hysteretic polarization laws which are characteristic of dispersive dielectric media. We formulate such systems in an operator theoretic framework and show that, under certain conditions on the dielectric response function, the resulting systems generate Co semigroups. It is shown that multiple Debye polarization models are included in those for which a semigroup formulation is possible.
- Numerical Mathematics
- Radiofrequency Wave Propagation