「$usespecgen」：修訂間差異

於 2025年10月19日 (日) 04:49 的最新修訂

$usespecgen is the command to put a generation profile with a specific function, which is mostly a Gaussian shape generation profile.

$usespecgen
N_region
func_type, A,  $ℏ ω$ , P1 , P2, P3, P4, P5, P6, P7
1 A  $ℏ ω$   $σ_{x} σ_{y}$  xc yc
2 A  $ℏ ω$   $σ_{x} σ_{y}$  xc yc
3 A  $ℏ ω$   $σ_{x} σ_{y}$  xc yc
4 A  $ℏ ω$   $σ_{y}$  yc
5 A  $ℏ ω$   $σ_{x}$  xc

$ℏ ω$ is the phonon energy of light source. If $ℏ ω > E g$ , the generation rate will be activated.

For the function types:

P1->P4 =  $σ_{x} σ_{y}$  xc yc
1: If  $ℏ ω > E g$ ,  $G (x, y) = A * e x p (- \frac{(x - x c)^{2}}{2 * σ_{x}^{2}}) * e x p (- \frac{(y - y c)^{2}}{2 * σ_{y}^{2}})$

P1->P4 =  $σ_{x} σ_{y}$  xc yc 
2: If  $ℏ ω > E g$ ,  $G (x, y) = A * e x p (- \frac{(x - x c)^{2}}{2 * σ_{x}^{2}}) * e x p (- \frac{| (y - y c) |}{σ_{y}})$

P1->P4 =  $σ_{x} σ_{y}$  xc yc 
3: If  $ℏ ω > E g$ ,  $G (x, y) = A * e x p (- \frac{(y - y c)^{2}}{2 * σ_{y}^{2}}) * e x p (- \frac{| (x - x c) |}{σ_{x}})$

P1->P2 =   $σ_{y}$  yc
4: If  $ℏ ω > E g$ ,  $G (x, y) = A * e x p (- \frac{| (y - y c) |}{σ_{y}})$

P1->P2 =  $σ_{x}$  xc 
5: If  $ℏ ω > E g$ ,  $G (x, y) = A * e x p (- \frac{| (x - x c) |}{σ_{x}})$

@@ 第1行： / 第1行： @@
-$usespecgen is the command to put generation profile with a specific function, which is mostly Gaussian shape generation profile.
+$usespecgen is the command to put a generation profile with a specific function, which is mostly a Gaussian shape generation profile.
   $usespecgen
   N_region
-  func_type A B sigx, sigy, xc, yc
+  func_type, A, <math>\hbar\omega</math>, P1 , P2, P3, P4, P5, P6, P7
+A <math>\hbar\omega</math> <math>\sigma_{x}~ \sigma_{y}</math> xc yc
+A <math>\hbar\omega</math> <math>\sigma_{x}~ \sigma_{y}</math> xc yc
+A <math>\hbar\omega</math> <math>\sigma_{x}~ \sigma_{y}</math> xc yc
+A <math>\hbar\omega</math> <math>\sigma_{y}</math> yc
+A <math>\hbar\omega</math> <math>\sigma_{x}</math> xc
+<math>\hbar\omega</math> is the phonon energy of light source. If <math>\hbar\omega > Eg</math>, the generation rate will be activated.
-For function type
+For the function types:
-: <math> G(x,y) = A*B * exp(-\frac{(x-xc)^{2}}{sigx^{2}}) * exp(-\frac{(y-yc)^{2}}{sigy^{2}})   </math>
+ P1->P4 = <math>\sigma_{x}~ \sigma_{y}</math> xc yc
-: <math> G(x,y) = A*B * exp(-\frac{(x-xc)^{2}}{sigx^{2}})* exp(-\frac{(x-xc)^{2}}{sigx^{2}})* exp(-\frac{-|(y-yc)|}{sigy})  </math>
+: If <math>\hbar\omega > Eg</math>, <math> G(x,y) = A * exp\left(-\frac{(x-xc)^{2}}{2*\sigma_{x}^{2}}\right) * exp\left(-\frac{(y-yc)^{2}}{2*\sigma_{y}^{2}} \right)  </math>
-: <math> G(x,y) = A*B * exp(-\frac{(x-xc)^{2}}{sigx^{2}})* exp(-\frac{(x-xc)^{2}}{sigx^{2}}) * exp(-\frac{-|(x-xc)|}{sigx})  </math>
+ P1->P4 = <math>\sigma_{x}~ \sigma_{y}</math> xc yc
+: If <math>\hbar\omega > Eg</math>, <math> G(x,y) = A * exp\left(-\frac{(x-xc)^{2}}{2*\sigma_{x}^{2}}\right) * exp\left(-\frac{|(y-yc)|}{\sigma_{y}} \right)  </math>
+ P1->P4 = <math>\sigma_{x}~ \sigma_{y}</math> xc yc
+: If <math>\hbar\omega > Eg</math>, <math> G(x,y) = A * exp\left(-\frac{(y-yc)^{2}}{2*\sigma_{y}^{2}}\right) * exp\left(-\frac{|(x-xc)|}{\sigma_{x}} \right)  </math>
+ P1->P2 =  <math>\sigma_{y}</math> yc
+: If <math>\hbar\omega > Eg</math>, <math> G(x,y) = A * exp\left(-\frac{|(y-yc)|}{\sigma_{y}}\right)  </math>
+ P1->P2 = <math>\sigma_{x}</math> xc
+: If <math>\hbar\omega > Eg</math>, <math> G(x,y) = A * exp\left(-\frac{|(x-xc)|}{\sigma_{x}}\right)  </math>

「$usespecgen」：修訂間差異

於 2025年10月19日 (日) 04:49 的最新修訂

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