13.07.2015 Views

Materials Measurement Phil Bartley Shelley Begley

Materials Measurement Phil Bartley Shelley Begley

Materials Measurement Phil Bartley Shelley Begley

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Cole-Cole Plot Explanation"ε r302010εεs−ε2"∞r max= =35.8Increasingf (GHz)ε(ω)εs−εε∞+1+jωτ=∞Center0 10 20 30 40 50 60 70'ε rε = 4.9= 76. 47∞ε sLet’s study some important properties of the Cole-Cole plot of Debye model.From the Debye equation we can calculate the er’ for frequency 0 andinfinity.Debye equation :ε ( ω)For ω = 0, ε (0)= ε sεs−εε∞+1+jωτ=∞Forω = ∞,ε ( ∞)= ε∞The curve is half circle with center on the x axis and radiusThe maximum imaginary part of the dielectric constant will be equal to theradiusThe frequency moves counter clock wise on the curve.22

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