$MaterialParameter

Format

$MaterialParameter
 typedis       N         εr,∞        μr          σE          σH
 par1(1)    par1(2)    par1(3)
 par2(1)    par2(2)    par2(3)
   .          .          .          
   .          .          .          
   .          .          .         
 parp(1)    parp(2)    parp(3)
   .          .          .          
   .          .          .          
   .          .          .          
 parN(1)    parN(2)    parN(3)                // where typedis and N are integers, but the others are floating points.

Refer to Chap. 9 in p.353 - p.368.
type_dis means the type of dispersive model.
N means the number of poles in this material.
ε_r,∞ is the relative permittivity at infinite frequency,
μ_r is relative permeability,
σ_E is electric conductivity,
and σ_H is equivalent magnetic loss, respectively.

Models	typedis	parp(1)	parp(2)	parp(3)
non-dispersive	0	0	0	0
Debye	1	Δεp	τp	0
Lorentz	2	Δεp	ωp	δp
Drude	3	ωi	γp	0

$\varepsilon(\omega) = \varepsilon_\infty + \sum_{p=1}^P \chi_p(\omega)$

Debye model: $\chi_p(\omega) = \frac{\Delta\varepsilon_{p}}{1+j\omega\tau_p}$

Lorentz model: $\chi_p(\omega) = \frac{\Delta\varepsilon_{p} \omega_p^2}{\omega_p^2+2j\omega\delta_p-\omega^2}$

Drude model: $\chi_p(\omega) = -\frac{\omega_p^2}{\omega^2-j\omega\gamma_p}$

Example

$NumberofObject
 2
$MaterialParameter
 2 3 10 1 0 0
 3 1.2566e15 1e14
 3 2.5133e15 2e14
 3 3.7699e15 3e14
 2 2 10 1 0 0
 3 1.2566e15 1e14
 3 2.5133e15 2e14

Related commands

Input file 1: $NumberofObject, $MaterialStructure

Input file 2: $Backgroundparameter