9 July 2003 Electromagnetic characterization of stratified chiral structures in nanotechnology
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The circularly polarized wave decomposition of Maxwell's equations for electromagnetic wave propagation in chiral materials is the starting point for this analysis. 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. These harmonic solutions are expressed in terms of the characteristic right and left circularly polarized waves. Through a path deformation in the complex plane, the Green's functions are converted into alternate, modal, representations that are suitable for the complete expansion of the electromagnetic fields above and below a rough interface between two chiral materials with laterally varying material properties. From these representations, generalized Fourier teransform pairs are derived. The generalized Fourier transforms can be used to obtain two sets of coupled ordinary differential equations for the field transforms in terms of the forward and backward wave amplitudes of the transverse fields. Iterative solutions of these generalized telegraphists equations are found. From these solutions the fields can be found under appropriate assumptions. Since no a priori assumptions are made about the surface height, the frequency of the source, or the material parameter this work could be applied to nanotechnology involving stratified chiral structures.
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Paul E. Crittenden, Paul E. Crittenden, Ezekiel Bahar, Ezekiel Bahar, } "Electromagnetic characterization of stratified chiral structures in nanotechnology", Proc. SPIE 5218, Complex Mediums IV: Beyond Linear Isotropic Dielectrics, (9 July 2003); doi: 10.1117/12.503744; https://doi.org/10.1117/12.503744

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