Electromagnetic Wave Propagation, Radiation, and Scattering
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Cites methods from "Electromagnetic Wave Propagation, R..."
...The classical analytical approach for this is the Floquet-Bloch mode expansion [83-88], in which the fi elds are expanded into an infi nite sum of plane waves propagating in various directions....
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Cites background or methods from "Electromagnetic Wave Propagation, R..."
...Surface Waves Guided by Graphene Pole singularities in the Sommerfeld integrals represent discrete surface waves guided by the medium [14], [15]....
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...The standard hyperbolic branch cuts [15] that separate the one proper sheet (where , such that the radiation condition as is satisfied) and the three improper sheets (where ) are the same as in the absence of surface conductivity....
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...For any planarly layered, piecewise-constant medium, the electric and magnetic fields in region due to an electric current can be obtained as [14], [15]...
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...Alternatively, the components can be obtained using the pair , where is the electric/magnetic Hertzian potential [15]....
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...The value of the wavenumbers and govern the size of , and to access upper limits for the wavenumbers it is worthwhile to represent the spectral integrals (27) as a sum of branch cuts and residues [14], [15], [18]....
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