Abstract
AbstractNew asymptotic formulas for the electromagnetic fields of a vertical Hertzian dipole over an imperfectly conducting half‐space are derived using two variants of the modified saddle point method, referred to as subtractive and multiplicative. The accuracy of the two far‐zone formulations is assessed by comparisons with the state‐of‐the‐art Norton‐Bannister theory and with the rigorous results of numerical integration for problems involving seawater in the microwave range and gold in the visible range. It is found that the performance of the three approximate methods is similar, except at the surface of plasmonic media, where the saddle point methods are superior to the Norton‐Bannister formulation.
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