$ygradualdiv

出自 DDCC TCAD TOOL Manual
於 2018年3月13日 (二) 09:30 由 Yrwu (對話 | 貢獻) 所做的修訂

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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.


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 $ydiv
Then   l = \frac{r^{N}-1}{r-1} 



Example



Related commands
$xgradualdiv