An Analysis of Dielectric Response
Abstract
We perform a mathematical analysis of the dielectric spectrum within the framework of classical dispersion theory. The analysis is a complex plane analysis. With this analysis, a holistic analytical method is derived to decompose the imaginary part of dielectric function into its fundamental components. A complex plane is formed using the complex feature of the dielectric function. In this plane, each loop of the function ε_2 (ε_1-1), which completed to a circle, represents the linear optical response for a single Lorentz oscillator. The parameters of each Lorentz oscillator such as natural frequency, energy, and half-width are calculated by analyzing the circles.
Keywords
Argand diagram, Complex plane, Dielectric response, Dispersion theory, Lorentz oscillator, Resonance frequency
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