$xgradualdiv

出自 DDCC TCAD TOOL Manual
於 2018年3月13日 (二) 09:52 由 Yrwu (對話 | 貢獻) 所做的修訂

前往: 導覽搜尋

This function is to determine how the segment is divided. There are two columns to fill in. The first column i should be filled in an integer 0, 1, or 2.

i = 0: Uniform. This means the segment is divided equally with the same spacing.
i = 1: Gradual. This means the segment is divided whether from small spacing to large spacing or in the opposite way. The spacing is distributed like a geometric progression
i = 2: Bump. This means the segment can be divided into two forms small-large-small or large-small-large.

The second column r should be filled in a real number.
Mesh2.png

If r < 1 If r = 1 If r > 1
Uniform (0) uniform uniform uniform
Gradual (1) large -> small uniform small -> large
Bump (2) large -> small -> large uniform small -> large -> small


If the total layer thickness is l  and i=1, then if the smallest separation distance is a 
l = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N} 
where N is the total grid number defined in $xdiv
Then   l = a\frac{r^{N}-1}{r-1} 


If the total layer thickness is l  and i=2, then if the smallest separation distance is a 
l/2 = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N/2} 
where N is the total grid number defined in $ydiv
Then   l = 2 \cdot a\frac{r^{N/2}-1}{r-1} 


Example
$xgradualdiv
0 1
1 1.1
1 1.1
2 1.1
2 1.1



Related commands
$ygradualdiv