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Electromagnetic sensing of *chiral materials
Abstract
The circular decomposition of Maxwell's equations for chiral materials is given. The Fourier transforms of the Green's functions for the electromagnetic waves on both sides of a flat interface between two semi-infinite chiral materials are derived. The solution is expressed in terms of the characteristic right and left circularly polarized waves. The Green's functions are converted into alternate, modal, representations suitable for the complete expansion of the fields above and below a laterally varying interface between two chiral materials with laterally varying material properties. The dominant reflection and transmission paths are identified using asymptotic expansions of the inverse transform. Generalized Fourier transform pairs appropriate for expanding the electromagnetic fields above and below a variable interface between chiral materials are derived. The generalized Fourier transform pairs are used to obtain two sets of coupled ordinary differential equations for the transforms of the forward and backward wave amplitudes of the z-component of the magnetic field. Under appropriate assumptions for particular types of surfaces, the set of differential equations can be solved numerically or iteratively. From the solutions the transforms of the fields can be found and inverted to obtain the electromagnetic fields. The results obtained and possible future work have direct applications to the near and far field discrimination between chiral media as well as the optimization of chiral materials. Chiral materials are of interest in a wide range of fields and as a result this dissertation would have an equally wide range of applications.
Subject Area
Mathematics|Electromagnetism
Recommended Citation
Crittenden, Paul Edward, "Electromagnetic sensing of *chiral materials" (2002). ETD collection for University of Nebraska-Lincoln. AAI3074074.
https://digitalcommons.unl.edu/dissertations/AAI3074074