Extended energy approach to the propagation problems in general anisotropic media

Sina Khorasani; Bizhan Rashidian

doi:10.1117/12.446583

29 October 2001 Extended energy approach to the propagation problems in general anisotropic media

Sina Khorasani, Bizhan Rashidian

Proceedings Volume 4594, Design, Fabrication, and Characterization of Photonic Devices II; (2001) https://doi.org/10.1117/12.446583
Event: International Symposium on Photonics and Applications, 2001, Singapore, Singapore

Abstract

In this article it is shown that the plane wave propagation eigenpolarizations in a linear homogeneous time-independent anisotropic media without free sources, coincide with the extrema of the difference between stored electric and magnetic energies. It is demonstrated that at these stationary points the wave equation is satisfied, by showing that each of the Maxwell's curl equations may be obtained by inserting the other equation into the energy functional as a constraint. Furthermore, it is proved that the theorem holds for extrema of the stored electric energy independently, when the medium is magnetically isotropic. It is concluded that when at least one of the permittivity and permeability tensors are scalar, both the total and difference of electric and magnetic energies are extremized simultaneously. As an example, the eigenpolarizations in a non-magnetic anisotropic medium with optical activity are obtained by this approach.

Citation Download Citation

Sina Khorasani and Bizhan Rashidian "Extended energy approach to the propagation problems in general anisotropic media", Proc. SPIE 4594, Design, Fabrication, and Characterization of Photonic Devices II, (29 October 2001); https://doi.org/10.1117/12.446583

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