Closed-Form Solution of Rough Conductor Surface Impedance
| Autor: | Dušan Grujić |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
010302 applied physics
Radiation Materials science Mathematical analysis Hyperbolic function 020206 networking & telecommunications 02 engineering and technology Dielectric Conductivity Condensed Matter Physics 01 natural sciences Square (algebra) Conductor 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Surface roughness Electrical and Electronic Engineering Electrical conductor Electrical impedance |
| Zdroj: | IEEE Transactions on Microwave Theory and Techniques. 66:4677-4683 |
| ISSN: | 1557-9670 0018-9480 |
| Popis: | This paper presents a closed-form solution of rough conductor surface impedance in terms of material DC conductivity and RMS roughness. Surface roughness is modeled by position-dependent conductivity at conductor-dielectric boundary to account for protrusion of rough conductor into dielectric, which was first proposed in the Gradient model. Analytic solution is obtained by approximating the Gauss cumulative distribution function, used to model the position-dependent conductivity in the Gradient model, with a square of hyperbolic tangent. Closed-form solutions are compared with numerical solutions of the Gradient model and are in good agreement up to a frequency of 100 GHz. Derived surface impedance is causal, which has been shown by numerical Hilbert transform. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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