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Drude-Lorentz and Debye-Lorentz models for the dielectric constant of metals and water

by Bora Ung

 

16 Dec 2007 (Updated 01 Dec 2008)

Computes the complex permittivity of many metals and water with input wavelength

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Description

This code computes the complex dielectric constant (i.e. relative permittivity) and the refractive index of various metals using either the Lorentz-Drude (LD) or the Drude model (D) as a function of input light wavelength.  
 
Additionally, it may compute the dielectric constant of pure water using a Debye-Lorentz model.  
 
Choice of materials: silver, aluminum, gold, copper, chromium, nickel, tungsten, titanium, beryllium, palladium, platinum, triply distilled water.  
 
Reference: Bora Ung and Yunlong Sheng, Interference of surface waves in a metallic nanoslit, Optics Express 15, 1182-1190 (2007).

MATLAB release MATLAB 7.4 (R2007a)
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Comments and Ratings (8)
17 Dec 2007 Bora Ung The efficiency can be improved with the following changes:  
 
replace line 183 with: epsilon_r_L = zeros(size(lambda));  
replace lines 185-187 with:  
epsilon_r_L = epsilon_r_L + (f(k)*omegap^2)*...  
    (((omega(k)^2)*ones(size(lambda)) - omegalight.^2) -...  
                i*Gamma(k)*omegalight).^(-1);  
eliminate line 190  
 
Hope this file is useful to people as it was to me.
19 Dec 2007 Duane Hanselman Rather than tell use what to do to improve the file, why not UPDATE your submission with your latest work? (Do not submit the revised file as a new submission.)
20 Dec 2007 Bora Ung Thanks Duane for the info. I have already done that a few days ago when I realized that it is possible to make changes. Now there IS NO NEED to make any changes.
07 Feb 2008 Jin Xu thanks a lot.
20 Mar 2008 Hyunwoo Kihm Thanks for valuable information with proper references. Weighting factor of various oscillator made the model fitting almost perfect.
15 May 2008 j kim I think, it's good program!!!
28 Oct 2008 JCBod Bodoque Wonderful file! Do you have any work of your own that I can cite for these fits?
31 Oct 2008 Bora Ung As a note, this matlab code was created for and first used in [B. Ung and Y. Sheng, Optics Express, vol.15, pp. 1182-1190 (2007)]
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Updates
18 Dec 2007 Added some small changes to improve the overall performance. Included a screenshot to show the comparison between the Drude, Lorentz-Drude and exact experimental values of the permittivity of silver.
27 Nov 2008 Added a new material (pure water) whose dielectric constant is computed via the Debye-Lorentz model. References are also updated.
01 Dec 2008 A coding error in the previous version is corrected in this version.

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