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lielectric constant, index of refraction and absorption coefficient for a non-conducting medium

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

(a) Single electron in a non-conducting medium can be modeled as a damped harmonic oscillator, driven at
frequency w. Mathematically we can write it as
dr
+ my+ mwžx = qEo cos(wt)
2/3
m
dt
Employing above model for differently situated large number of electrons within a molecule, discus.
dielectric constant, index of refraction and absorption coefficient for a non-conducting medium.
(b) Using expression given below, find the width of anomalous dispersion region for the case of a single resonance
at frequency wo
f;(w} – w²)
(w} – w²)2 + 7?w²
n =1+
Σ
2meo
here n and f; represents refractive index and number of electrons, other symbols have their usual meanings.

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