The paper is about the interpretation and separability of the effective permittivity in case that both the permittivity and the conductivity are dispersive and thus complex-valued. It is shown that: a) it is always possible to retrieve the static conductivity and the high-frequency (optical) permittivity from the effective permittivity; b) it is in general not possible to separate the complex conductivity from the complex permittivity. The findings rely on the application of the Hilbert transform and their effectiveness is verified by means of a numerical example.
Interpretation and separability of the effective permittivity in case that both permittivity and conductivity are complex / Giacomo Giannetti, Ludger Klinkenbusch. - ELETTRONICO. - (2023), pp. 0-0. (Intervento presentato al convegno URSI International Symposium on Electromagnetic Theory 2023 tenutosi a Vancouver, BC, Canada nel 23-26 Maggio 2023).
Interpretation and separability of the effective permittivity in case that both permittivity and conductivity are complex
Giacomo Giannetti
;
2023
Abstract
The paper is about the interpretation and separability of the effective permittivity in case that both the permittivity and the conductivity are dispersive and thus complex-valued. It is shown that: a) it is always possible to retrieve the static conductivity and the high-frequency (optical) permittivity from the effective permittivity; b) it is in general not possible to separate the complex conductivity from the complex permittivity. The findings rely on the application of the Hilbert transform and their effectiveness is verified by means of a numerical example.
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