「$MaterialParameter」：修訂間差異

於 2020年3月25日 (三) 07:16 的最新修訂

Format

$MaterialParameter
 type_dis       N         ε_r,∞        μ_r          σ_E          σ_H
 par₁(1)    par₁(2)    par₁(3)
 par₂(1)    par₂(2)    par₂(3)
   .          .          .          
   .          .          .          
   .          .          .         
 par_p(1)    par_p(2)    par_p(3)
   .          .          .          
   .          .          .          
   .          .          .          
 par_N(1)    par_N(2)    par_N(3)                // where type_dis 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	type_dis	par_p(1)	par_p(2)	par_p(3)
non-dispersive	0	0	0	0
Debye	1	Δε_p	τ_p	0
Lorentz	2	Δε_p	ω_p	δ_p
Drude	3	ω_i	γ_p	0

$ε (ω) = ε_{\infty} + \sum_{p = 1}^{P} χ_{p} (ω)$

Debye model: $χ_{p} (ω) = \frac{Δ ε_{p}}{1 + j ω τ_{p}}$

Lorentz model: $χ_{p} (ω) = \frac{Δ ε_{p} ω_{p}^{2}}{ω_{p}^{2} + 2 j ω δ_{p} - ω^{2}}$

Drude model: $χ_{p} (ω) = - \frac{ω_{p}^{2}}{ω^{2} - j ω γ_{p}}$

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

@@ 第1行： / 第1行： @@
 =='''Format'''==
   $MaterialParameter
-   ''int    fp''                <font color=green>// where ''int'' is an integer, and ''fp'' is an floating point.</font>
+   ''type<sub>dis</sub>       N         ε<sub>r,∞</sub>        μ<sub>r</sub>          σ<sub>E</sub>          σ<sub>H</sub>''
+  ''par<sub>1</sub>(1)    par<sub>1</sub>(2)    par<sub>1</sub>(3)''
+  ''par<sub>2</sub>(1)    par<sub>2</sub>(2)    par<sub>2</sub>(3)''
+    .          .          .
+    .          .          .
+    .          .          .
+  ''par<sub>p</sub>(1)    par<sub>p</sub>(2)    par<sub>p</sub>(3)''
+    .          .          .
+    .          .          .
+    .          .          .
+  ''par<sub>N</sub>(1)    par<sub>N</sub>(2)    par<sub>N</sub>(3)''                <font color=green>// where ''type<sub>dis</sub>'' and ''N'' are integers, but the others are floating points.</font>
 <font size=3>
-obj%disper(i),obj%npole(i),obj%eps_inf(i),obj%mur(i),obj%sigE(i),obj%sigH(i) <br>
+Refer to Chap. 9 in p.353 - p.368.<br>
-pole(i)%par(:,j) where j=1~4
+''type<sub>dis</sub>'' means the type of dispersive model. <br>
+''N'' means the number of poles in this material. <br>
+''ε<sub>r,∞</sub>'' is the relative permittivity at infinite frequency, <br>
+''μ<sub>r</sub>'' is relative permeability, <br>
+''σ<sub>E</sub>'' is electric conductivity, <br>
+and ''σ<sub>H</sub>'' is equivalent magnetic loss, respectively.
 </font>
+{| class=wikitable style="text-align: center
+|+
+|-
+|| Models         || ''type<sub>dis</sub>'' || par<sub>p</sub>(1) || par<sub>p</sub>(2)  || par<sub>p</sub>(3)
+|-
+|| non-dispersive || 0                      || 0                  || 0                   || 0
+|-
+|| Debye          || 1                      || Δε<sub>p</sub>     || τ<sub>p</sub>       || 0
+|-
+|| Lorentz        || 2                      || Δε<sub>p</sub>     || ω<sub>p</sub>       || δ<sub>p</sub>
+|-
+|| Drude          || 3                      || ω<sub>i</sub>      || γ<sub>p</sub>       || 0
+|}
+<math>\varepsilon(\omega) = \varepsilon_\infty + \sum_{p=1}^P \chi_p(\omega)</math><br>
+<font size=4>Debye model:   </font><math>\chi_p(\omega) = \frac{\Delta\varepsilon_{p}}{1+j\omega\tau_p}</math><br><br>
+<font size=4>Lorentz model: </font><math>\chi_p(\omega) = \frac{\Delta\varepsilon_{p} \omega_p^2}{\omega_p^2+2j\omega\delta_p-\omega^2}</math><br><br>
+<font size=4>Drude model:   </font><math>\chi_p(\omega) = -\frac{\omega_p^2}{\omega^2-j\omega\gamma_p}</math><br><br>
 =='''Example'''==
+ $NumberofObject
   $MaterialParameter
 3 10 1 0 0
-7 1.2566e15 1e14
+1.2566e15 1e14
-7 2.5133e15 2e14
+2.5133e15 2e14
-7 3.7699e15 3e14
+3.7699e15 3e14
+2 10 1 0 0
-This means the program has 2 objects in the simulation.
+1.2566e15 1e14
+2.5133e15 2e14
 == '''Related commands''' ==
 : Input file 1: [[$NumberofObject]], [[$MaterialStructure]]
 : Input file 2: [[$Backgroundparameter]]

「$MaterialParameter」：修訂間差異

於 2020年3月25日 (三) 07:16 的最新修訂

Format

Example

Related commands

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