CalcLorentzMaterial

CalcLorentzMaterial(f, eps_r, kappa, plasmaFreq, LorPoleFreq, t_relax)

Full definition:

eps_lorentz = CalcLorentzMaterial(f, eps_r, kappa, plasmaFreq, LorPoleFreq, t_relax)

Calculate the Lorentz type dispersive material constant

arguments:

  • f: frequeny range of interest

  • eps_r: eps_r infinity

  • kappa: conductivity (losses)

  • plasmaFreq: (vector) plasma frequencies (Drude model)

  • LorPoleFreq: (vector) Lorentz pole frequencies (zero for pure Drude model)

  • t_relax: (vector) relaxation time (losses)

return:

  • eps_lorentz: the complex relative permitivity

Example:

% silver (AG) at optical frequencies (Drude model) [1, p. 201]
f = linspace(300e12, 1100e12, 201);
eps_model = CalcLorentzMaterial(f, 3.942, 7.97e3, 7e15/2/pi, 0, 1/2.3e13);

figure
plot(f,real(eps_model))
hold on;
grid on;
plot(f,imag(eps_model),'r--')

% silver (AG) at optical frequencies (Drude+Lorentz model) [1, p. 201]
f = linspace(300e12, 1100e12, 201);
eps_model = CalcLorentzMaterial(f, 1.138, 4.04e3, [13e15 9.61e15]/2/pi, [0 7.5e15]/2/pi,[1/2.59e13 1/3e14]);

figure
plot(f,real(eps_model))
hold on;
grid on;
plot(f,imag(eps_model),'r--')

See also: CalcDebyeMaterial

  • [1] Rennings, Andre: “Elektromagnetische Zeitbereichssimulationen innovativer Antennen auf Basis von Metamaterialien.” PhD Thesis, University of Duisburg-Essen, September 2008


author: Thorsten Liebig (2013)