$pattern tri period

The pattern tri period is the same definition in pattern type as the

$pattern_tri_period
pattern_tri_num
pattern_type int_period_num f_period_spacing $f_{1}$  $f_{2}$  $f_{3}$  $f_{4}$  $f_{5}$  $f_{6}$  $n_{r}$ $\alpha$ if_empty

Parameter Explanation

• pattern_tri_num : number of empty section.
• type : type1=triangle, type2=circle, type3=ellipse, type4=rectangular, type5=Sinkx function up, type6=Sinkx function down, type7=Sinkx function up, type8=Sinkx function down.
• f1-f6 : you can refer to the information where at bottom of this page. (unit is cm!)
• int_period_num :
• f_period_spacing : (unit is cm!)
• if_empty : integer 1 means it is air, others means material

@type: 
1 : triangular , period along x if the periodnumber >1 
11 : triangular , period along y if the periodnumber >1 
2 : circular shape, period along x if the periodnumber >1 
21 :   circular shape, period along y if the periodnumber >1 
3 : elliptic shape, period along x if the periodnumber >1 
31 :   elliptic shape, period along y if the periodnumber >1 
4 : rectangular shape, period along x if the periodnumber >1 
41 :   rectangular shape, period along y if the periodnumber >1 
5:  sin kx function up, the shape is defined by x_left, x_right, y>sinkx and y<y2
6:  sin kx function down, the shape is defined by x_left, x_right, y<sinkx and y>y2
7:  sin ky function up (be careful to use it), the shape is defined by y_top, y_bottom, x<sinky and x>x2
8:  sin ky  function right (be careful to use it), the shape is defined by y_top, y_bottom, x<sinky and x>x2

Example

Type.1~4 are triangle, circle, ellipse and rectangle.

If the parameters are not show in the figure, you should set those parameters as 0.

Type5~8 are sine shape period structure.

Type.5 and 6 can be determined by this expression:

$f_6<y<f_1sinf_2x+f_3;$

$f_4<x<f_5$

Type.7 and 8 can be determined by this expression:

$f_6<x<f_1sinf_2y+f_3;$

$f_4<y<f_5$

$emptyperiodshape,