Electromagnetic analysis of complex media via helical coordinates

Martin W. McCall

doi:10.1117/12.619418

15 September 2005 Electromagnetic analysis of complex media via helical coordinates

Martin W. McCall

Proceedings Volume 5924, Complex Mediums VI: Light and Complexity; 59240M (2005) https://doi.org/10.1117/12.619418
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

A general framework for the analysis of chiral electromagnetic media is discussed via the analysis of Maxwell's equations in a coordinate system that rotates uniformly along the z-axis. We are motivated in this study by the knowledge that exact solutions exist in at least two canonical cases: (a) natural optical activity and (b) structurally chiral dielectrics. In the latter case the so-called Oseen transformation has previously been used to render a completely analytic solution. However, we show that this transformation is not a true rotation of real physical space, but that when such a rotation is applied via the helical transformation, identical solutions are generated. These ideas provide a basis for constructing solutions in chiral media in general, and it is speculated how they can be applied in novel contexts.

Citation Download Citation

Martin W. McCall "Electromagnetic analysis of complex media via helical coordinates", Proc. SPIE 5924, Complex Mediums VI: Light and Complexity, 59240M (15 September 2005); https://doi.org/10.1117/12.619418

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