Time-Dependent Charge Distributions: The Generalized Dielectric Function $$\varepsilon \left( {\vec{q},\omega } \right)$$

Author(s):  
Jean-Noël Chazalviel
2000 ◽  
Vol 77 (10) ◽  
pp. 775-784 ◽  
Author(s):  
M Villavicencio ◽  
J L Jiménez ◽  
JAE Roa-Neri

In this work the Cherenkov effect for extended charge distributions is analyzed using two different methods. In the first method, the Poynting vector is employed to determine the energy radiated, whereas in the second one, we apply the idea of generating time-dependent elemental dipoles, induced by a charge distribution moving with constant velocity, inside a material medium. An explicit expression for the Cherenkov radiation generated by some different kinds of spherically symmetric charge, travelling inside a medium, is obtained.PACS Nos.: 03.50.De, 41.20.Bt, 41.60.-m, 41.60.Bq


1979 ◽  
Vol 19 (4) ◽  
pp. 1720-1726 ◽  
Author(s):  
N. E. Brener ◽  
J. L. Fry

2015 ◽  
Vol 6 (3) ◽  
pp. 320-325 ◽  
Author(s):  
Maxim Artamonov ◽  
Tamar Seideman

Author(s):  
A. V. Andrade-Neto

The interaction between light and metals or heavily doped semiconductors is largely determined by their free conduction electrons. The frequency and wave vector dependent complex dielectric function is an essential ingredient of the description of its optical and transport properties. The aim of this paper is to give a didactic introduction how the conduction electrons in solids responds to an external time dependent electric field and to make a comparison between Drude and Lindhard dielectric function models for the electron gas. In within framework of Lindhard model we derived an expression for dielectric function that is similar to the familiar Drudes's formula. In particular, the differences and similarities between the complex conductivity obtained from the two models are analyzed.


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