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Observations of anomalous far-field scattering patterns from non-perfectly conducting cylindrical shells have lead to an analysis including surface currents and waves. The concept of skin depth is analyzed for wavelength-scale scattering structures when the permeability of the material is low in terms of the magnetic vector potential. Conditions under which interactions between the incident field and material properties below the skin depth affect the far field scattering pattern are illustrated and explained. The possibility of exploiting this to better characterize material properties of meso and nanoscale structures at optical frequencies is presented.
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Nitish Chandra, "Scattering and skin depth at the meso- and nanoscale," Proc. SPIE 10113, High Contrast Metastructures VI, 101130U (20 February 2017); https://doi.org/10.1117/12.2252397