Martin Cole

Numerical extraction of Cole-Cole impedance parameters from step response

In this paper we propose a numerical method to extract the four parameters (Ro, R∞, C, and α) that characterize a single-dispersion Cole-Cole impedance model from its step response, based on modelling the step response using fractional calculus, without requiring direct measurement of the real and imaginary impedance parts. MATLAB simulations using Cole-Cole impedances of fruit tissues with α <...

Rufus Cole, 1913

Dr. Robert Henry Cole

RATING AGENCIES Harold Cole

For decades credit rating agencies were viewed as trusted arbiters of creditworthiness and their ratings as important tools for managing risk. The common narrative is that the value of ratings was compromised by the evolution of the industry to a form where issuers pay for ratings. In this paper we show how credit ratings have value in equilibrium and how reputation insures that, in equilibrium...

Developing Finite Element Methods for Maxwell's Equations in a Cole-Cole Dispersive Medium

In this paper, we consider the time-dependent Maxwell’s equations when Cole–Cole dispersive medium is involved. The Cole–Cole model contains a fractional time derivative term, which couples with the standard Maxwell’s equations in free space and creates some challenges in developing and analyzing time-domain finite element methods for solving this model as mentioned in our earlier work [J. Li, ...