Abstract
A general relation between the poles and residues of a Kronig-Kramers pair is established which enables one to prove that the generalized immittance kernel obtained as the solution of an Nth-order linear differential equation with constant coefficients and sinusoidal forcing must necessarily be consistent with the Kronig-Kramers relations. Finally, it is proved that the network or system function of a system exhibiting a distribution over any or all of the (N + 1) arbitrary parameters of the Nth-order immittance kernel must itself be consistent with the Kronig-Kramers relations. The example of Lorentz dispersion is discussed.
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