"$adddiffusivedope" 修訂間的差異

於 2023年4月25日 (二) 23:25 的修訂

$adddiffusivedope is the command to put diffusive dopant distribution in the device. The doping density decay can be either exponential decay or Gaussian distribution. The command is

$adddiffusivedope
N_region
type  regionID Ndope  activation_energy  x_left  y_bottom  x_right y_top  $L_x$   $L_y$   
type  regionID Ndope  activation_energy  x_left  y_bottom  x_right y_top  $L_x$   $L_y$   
...
...
Nth_type ....

type: Can be 1, 11, 111, 101. Please see below
regionID:  The region No to use the diffusive doping
Ndope: Na pr Nd  Posive is for n-type, negative is for p-type
 $alphax$  and  $alphay$  is the diffusion length in x and y direction. The unit is  $\mu m$

For type = 1, inside regionID
x_left < x < x_right  y_bottom < y < y_top :   $N_{d,a} = Ndope$ 
x < x_left    :  $N_{d,a} = N_{d,a}+ Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
x > x_right   :  $N_{d,a} = N_{d,a}+ Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
y < y_bottom  :  $N_{d,a} = N_{d,a}+ Ndope * exp(-1/L_{y}*(|y-y_{bottom}|))$  
y > y_top     :  $N_{d,a} = N_{d,a}+ Ndope * exp(-1/L_{y}*(|y-y_{top}|))$ 
For type = 11, inside regionID
x_left < x < x_right  y_bottom < y < y_top :   $N_{d,a} = Ndope$ 
x < x_left    :  $N_{d,a} = Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
x > x_right   :  $N_{d,a} = Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
y < y_bottom  :  $N_{d,a} = Ndope * exp(-1/L_{y}*(|y-y_{bottom}|))$  
y > y_top     :  $N_{d,a} = Ndope * exp(-1/L_{y}*(|y-y_{top}|))$

For 101 and 111, it is applied in impurity. The difference between N_impuriy and N_{d,a} is that N_impuriy is 100% activated.

For type = 101, inside regionID
x_left < x < x_right  y_bottom < y < y_top :   $N_{impurity} = Ndope$ 
x < x_left    :  $N_{impurity} = N_{impurity}+ Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
x > x_right   :  $N_{impurity} = N_{impurity}+ Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
y < y_bottom  :  $N_{impurity} = N_{impurity}+ Ndope * exp(-1/L_{y}*(|y-y_{bottom}|))$  
y > y_top     :  $N_{impurity} = N_{impurity}+ Ndope * exp(-1/L_{y}*(|y-y_{top}|))$ 
For type = 111, inside regionID
x_left < x < x_right  y_bottom < y < y_top :   $N_{impurity} = Ndope$ 
x < x_left    :  $N_{impurity} = Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
x > x_right   :  $N_{impurity} = Ndope * exp(-1/L_{x}*(|x-x_{left}|))$  
y < y_bottom  :  $N_{impurity} = Ndope * exp(-1/L_{y}*(|y-y_{bottom}|))$  
y > y_top     :  $N_{impurity} = Ndope * exp(-1/L_{y}*(|y-y_{top}|))$

@@ 行 3： / 行 3： @@
  $adddiffusivedope
  N_region
- type  regionID Ndope  activation_energy  x_left  y_bottom  x_right y_top <math>L_x</math> <math>L__y</math>
+ type  regionID Ndope  activation_energy  x_left  y_bottom  x_right y_top <math>L_x</math> <math>L_y</math>
  type  regionID Ndope  activation_energy  x_left  y_bottom  x_right y_top <math>L_x</math> <math>L_y</math>
  ...

"$adddiffusivedope" 修訂間的差異

於 2023年4月25日 (二) 23:25 的修訂

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