2016
DOI: 10.1590/1806-9126-rbef-2016-0206
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Dielectric function for free electron gas: comparison between Drude and Lindhard models

Abstract: 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 … Show more

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Cited by 9 publications
(6 citation statements)
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“…The summation of all the dipole moments is the electronic polarization field trueP, which has a phase delay compared to trueE, and is related to it through the frequency-dependent parameter of electrical permittivity trueε¯ as normalP~sans-serifε¯.normalE [108]. Similar to the refraction function, trueε¯ is also a complex function and comprises a real part ε, indicating the degree to which the medium can be polarized, and an imaginary component is associated with the attenuation of an electromagnetic wave passing through the medium [109]. Figure 7c,d compares the permittivity function of the Group B samples.…”
Section: Discussionmentioning
confidence: 99%
“…The summation of all the dipole moments is the electronic polarization field trueP, which has a phase delay compared to trueE, and is related to it through the frequency-dependent parameter of electrical permittivity trueε¯ as normalP~sans-serifε¯.normalE [108]. Similar to the refraction function, trueε¯ is also a complex function and comprises a real part ε, indicating the degree to which the medium can be polarized, and an imaginary component is associated with the attenuation of an electromagnetic wave passing through the medium [109]. Figure 7c,d compares the permittivity function of the Group B samples.…”
Section: Discussionmentioning
confidence: 99%
“…The optical response of these materials according to the frequency and wave vector is dependent on the dielectric function of a free electron gas, which is used as a fundamental factor for studying the optical properties of materials. Therefore, optical absorption is determined by the imaginary part of the dielectric function, which is dependent on the real part of the optical conductivity [56]. In figure 4, we can see that the optical absorption at zero frequency is non-zero due to the inter-band transition caused by the Drude response or ballistic transport.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…In particular, considering Lindhard-like behaviour, we derived the real and imaginary dielectric constants for Au-Ag materials. According to the Lindhard model the real part of dielectric function (𝜀 ′ ) of an material can be expressed as 34,35 𝜀 ′ = 𝜀 ∞ − 𝜔 𝑝 2 (𝜔 2 − 𝛾 𝐿 2 )…”
Section: Parameter 300kv Operation 80kv Operationmentioning
confidence: 99%