On the Constitutive Tensors for Bianisotropic Media
FEDERAL UNIV OF PARA BELEM-PA (BRAZIL)
Pagination or Media Count:
We consider one of the key problems of bianisotropic materials for electromagnetic applications- constitutive relations. The discussion will be restricted to macroscopic level of the tensor description. We will discuss the constitutive tensors under the following assumptions the media under consideration are linear, homogeneous and in general lossy, possessing space and time dispersion and in general anisotropic. Description in terms of complex field variables and complex parameters of the constitutive tensors allows one to take into account noninstantaneous and nonlocal interaction between electromagnetic fields and matter. In the case of homogeneous media long-wave approximation, macroscopic properties of the media are described by tensors which are not changed from point to point. This allows one to exclude from consideration translational symmetry and to characterize the properties of the media and consequently the properties of the electromagnetic field by tensors in an arbitrary space point. But the point symmetry of the medium in such a description is preserved. Material descriptors are tensor quantities of known symmetry but of unknown numerical values. The symmetry structure of them is frequency and model-independent. The numerical values can be calculated by some physical theories or by experimentation. We will use phenomenological approach based on the first physical principles Onsagers relations and space-time symmetry.
- Theoretical Mathematics
- Electricity and Magnetism