「$MaterialParameter」：修訂間差異

於 2018年7月16日 (一) 05:06 的修訂

Format

$MaterialParameter
 type_dis       N         ε_r,∞          μ_r          σ_E          σ_H
 par₁(1)    par₁(2)    par₁(3)    par₁(4)
 par₂(1)    par₂(2)    par₂(3)    par₂(4)
   .          .          .          .
   .          .          .          .
   .          .          .          .
 par_p(1)    par_p(2)    par_p(3)    par_p(4)
   .          .          .          .
   .          .          .          .
   .          .          .          .
 par_N(1)    par_N(2)    par_N(3)    par_N(4)                // where type_dis and N are integers, but the others are floating points.

Refer to Chap. 9 at 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)	par_p(4)
non-dispersive	0	0	0	0	0
Debye	1	ε_s,p	ε_∞,p	τ_p	0
Lorentz	2	ε_s,p	ε_∞,p	ω_p	δ_p
Drude	3	ω_i	γ_p	0	0

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

Debye model: $χ_{p} (ω) = \frac{(ε_{s, p} - ε_{\infty, p})}{1 + j ω τ_{p}}$

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

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

Example

$NumberofObject
 1
$MaterialParameter
 2 3 10 1 0 0
 10 7 1.2566e15 1e14
 10 7 2.5133e15 2e14
 10 7 3.7699e15 3e14

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>1</sub>(4)''
+  ''par<sub>2</sub>(1)    par<sub>2</sub>(2)    par<sub>2</sub>(3)    par<sub>2</sub>(4)''
+    .          .          .          .
+    .          .          .          .
+    .          .          .          .
+  ''par<sub>p</sub>(1)    par<sub>p</sub>(2)    par<sub>p</sub>(3)    par<sub>p</sub>(4)''
+    .          .          .          .
+    .          .          .          .
+    .          .          .          .
+  ''par<sub>N</sub>(1)    par<sub>N</sub>(2)    par<sub>N</sub>(3)    par<sub>N</sub>(4)''                <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 at p.353 - p.368.<br>
-pole(i)%par(:,j) where j=1~4
+''type<sub>dis</sub>'' means the type of dispersive model. ''N'' means the number of poles in this material. ''ε<sub>r,∞</sub>'' is the relative permittivity at infinite frequency, ''μ<sub>r</sub>'' is relative permeability, ''σ<sub>E</sub>'' is electric conductivity, 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) || par<sub>p</sub>(4)
+|-
+|| non-dispersive || 0                      || 0                  || 0                   || 0                  || 0
+|-
+|| Debye          || 1                      || ε<sub>s,p</sub>    || ε<sub>∞,p</sub>     || τ<sub>p</sub>      || 0
+|-
+|| Lorentz        || 2                      || ε<sub>s,p</sub>    || ε<sub>∞,p</sub>     || ω<sub>p</sub>      || δ<sub>p</sub>
+|-
+|| Drude          || 3                      || ω<sub>i</sub>       || γ<sub>p</sub>      || 0                  || 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{(\varepsilon_{s,p}-\varepsilon_{\infty,p})}{1+j\omega\tau_p}</math><br><br>
+<font size=4>Lorentz model: </font><math>\chi_p(\omega) = \frac{(\varepsilon_{s,p}-\varepsilon_{\infty,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
@@ 第14行： / 第47行： @@
 7 2.5133e15 2e14
 7 3.7699e15 3e14
-This means the program has 2 objects in the simulation.

「$MaterialParameter」：修訂間差異

於 2018年7月16日 (一) 05:06 的修訂

Format

Example

Related commands

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