Immittance Data Validation by Kramers-Kronig Relations - Derivation and Implications
نویسندگان
چکیده
منابع مشابه
Immittance Data Validation by Kramers‐Kronig Relations – Derivation and Implications
Explicitly based on causality, linearity (superposition) and stability (time invariance) and implicit on continuity (consistency), finiteness (convergence) and uniqueness (single valuedness) in the time domain, Kramers-Kronig (KK) integral transform (KKT) relations for immittances are derived as pure mathematical constructs in the complex frequency domain using the two-sided (bilateral) Laplace...
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A method is described with which immittance data can be tested for Kronig-Kramers compliance. In contrast with other procedures, this method is l inear in nature and is based on a predetermined set of relaxation times. The model contains as many parameters (or less) as there are data sets. Three modes of operation are described, the first two are based on a linear fit of the model function to t...
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We review the consequence of the causality in electrodynamics. The Kramers-Kronig relations are direct consequence of causality which has two ingredients: no perturbation in the remote past and irrelevance of future susceptibility to the present field. It is shown that the dielectric function obtained from the integration along the Landau contour can be derived from the Kramers-Kronig relations...
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When a planar dielectric medium has a permittivity profile that is an analytic function in the upper or lower half of the complex position plane x = x′+ ix′′ then the real and imaginary parts of its permittivity are related by the spatial Kramers-Kronig relations. We find that such a medium won’t reflect radiation incident from one side, whatever the angle of incidence. Using the spatial Kramer...
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ژورنال
عنوان ژورنال: ChemElectroChem
سال: 2017
ISSN: 2196-0216
DOI: 10.1002/celc.201700630