Introduction to Cubic
residue diffusers
In former articles I explained
some aspects of common
QR-Diffusers known as Schröder-diffusers
and
CR-Diffusers. Here both
equations are used in a overlaid way to obtain a 2D-structure wich is
not symmetrical.
2D QRD/CRD - Sound Treatment
An optimized 2D-residue
diffuser using quadratic and cubic equations. Here 23 wells per period
are used to obtain a fully symmetrical behavior.
|
0 |
|
0 |
22 |
21 |
20 |
19 |
18 |
17 |
16 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
0 |
|
|
|
22 |
11 |
0 |
12 |
9 |
22 |
13 |
13 |
7 |
3 |
9 |
10 |
14 |
6 |
17 |
9 |
13 |
14 |
20 |
16 |
10 |
10 |
1 |
14 |
|
QRD |
|
21 |
12 |
6 |
21 |
19 |
8 |
19 |
14 |
1 |
11 |
6 |
17 |
6 |
4 |
19 |
13 |
17 |
16 |
18 |
8 |
17 |
7 |
9 |
8 |
Y |
7 |
|
20 |
2 |
13 |
20 |
8 |
8 |
5 |
7 |
22 |
12 |
8 |
18 |
4 |
20 |
5 |
13 |
6 |
15 |
2 |
21 |
11 |
3 |
5 |
2 |
X |
19 |
|
19 |
1 |
18 |
6 |
19 |
19 |
14 |
12 |
21 |
3 |
12 |
10 |
5 |
5 |
18 |
6 |
0 |
8 |
15 |
6 |
12 |
18 |
9 |
16 |
|
|
|
18 |
6 |
18 |
22 |
3 |
15 |
20 |
3 |
18 |
4 |
15 |
13 |
6 |
2 |
9 |
12 |
19 |
15 |
8 |
6 |
17 |
3 |
18 |
1 |
|
CRD |
|
17 |
14 |
10 |
19 |
3 |
16 |
20 |
0 |
10 |
12 |
14 |
1 |
4 |
8 |
21 |
5 |
14 |
10 |
1 |
18 |
0 |
1 |
6 |
0 |
Y |
13 |
|
16 |
22 |
14 |
17 |
16 |
19 |
11 |
0 |
17 |
1 |
6 |
17 |
19 |
20 |
5 |
5 |
5 |
13 |
14 |
16 |
4 |
9 |
16 |
10 |
X |
17 |
|
15 |
4 |
4 |
13 |
16 |
21 |
13 |
0 |
13 |
14 |
11 |
12 |
2 |
12 |
4 |
9 |
12 |
21 |
21 |
20 |
3 |
1 |
22 |
5 |
|
|
|
14 |
3 |
0 |
4 |
0 |
19 |
0 |
20 |
18 |
2 |
3 |
6 |
19 |
4 |
15 |
14 |
9 |
8 |
19 |
4 |
17 |
20 |
21 |
5 |
|
MOD |
|
13 |
16 |
22 |
10 |
11 |
10 |
15 |
11 |
6 |
8 |
2 |
19 |
21 |
16 |
12 |
17 |
16 |
17 |
5 |
11 |
20 |
17 |
10 |
7 |
|
23 |
|
12 |
17 |
21 |
5 |
0 |
14 |
9 |
16 |
20 |
6 |
5 |
2 |
5 |
22 |
15 |
15 |
7 |
22 |
22 |
15 |
9 |
12 |
9 |
8 |
|
|
|
11 |
3 |
17 |
9 |
10 |
5 |
2 |
9 |
11 |
16 |
9 |
21 |
14 |
19 |
21 |
5 |
2 |
20 |
21 |
13 |
4 |
2 |
15 |
5 |
|
|
|
10 |
17 |
7 |
19 |
15 |
3 |
14 |
10 |
22 |
12 |
11 |
4 |
22 |
4 |
4 |
7 |
21 |
8 |
22 |
2 |
2 |
7 |
2 |
18 |
|
|
|
9 |
10 |
11 |
9 |
12 |
5 |
19 |
16 |
4 |
14 |
8 |
17 |
3 |
20 |
7 |
18 |
15 |
6 |
22 |
2 |
0 |
1 |
13 |
21 |
|
|
|
8 |
2 |
3 |
22 |
21 |
8 |
14 |
1 |
0 |
19 |
20 |
11 |
0 |
18 |
4 |
12 |
4 |
11 |
18 |
10 |
18 |
4 |
22 |
11 |
|
|
|
7 |
13 |
3 |
9 |
16 |
9 |
19 |
8 |
7 |
1 |
21 |
6 |
10 |
18 |
15 |
9 |
8 |
20 |
7 |
0 |
7 |
13 |
3 |
8 |
|
|
|
6 |
17 |
8 |
13 |
17 |
5 |
8 |
11 |
22 |
3 |
8 |
22 |
7 |
17 |
14 |
6 |
1 |
7 |
9 |
15 |
10 |
2 |
22 |
9 |
|
|
|
5 |
11 |
15 |
8 |
21 |
16 |
1 |
7 |
19 |
22 |
1 |
10 |
11 |
12 |
21 |
0 |
3 |
15 |
21 |
6 |
1 |
14 |
7 |
11 |
|
|
|
4 |
15 |
21 |
14 |
2 |
16 |
18 |
16 |
18 |
9 |
20 |
13 |
19 |
0 |
10 |
11 |
11 |
18 |
17 |
16 |
0 |
0 |
1 |
11 |
|
|
|
3 |
3 |
0 |
5 |
3 |
2 |
10 |
12 |
16 |
7 |
16 |
5 |
5 |
1 |
1 |
13 |
22 |
13 |
17 |
19 |
4 |
3 |
1 |
6 |
|
|
|
2 |
18 |
18 |
1 |
21 |
17 |
20 |
15 |
10 |
13 |
9 |
6 |
12 |
12 |
14 |
3 |
10 |
20 |
18 |
12 |
10 |
20 |
4 |
16 |
|
|
|
1 |
11 |
3 |
22 |
7 |
12 |
22 |
22 |
20 |
1 |
19 |
13 |
14 |
7 |
0 |
1 |
18 |
13 |
17 |
15 |
15 |
2 |
7 |
15 |
|
|
|
0 |
2 |
21 |
19 |
4 |
7 |
13 |
7 |
20 |
14 |
20 |
0 |
8 |
6 |
2 |
4 |
20 |
12 |
11 |
2 |
16 |
15 |
7 |
0 |
Values taken from the Excel
Conclusion and Summary
Optimized residue equations can be used
to obtain a non symmetrical 2D-diffuser.
See the former article about
QRD-diffusers
You may also want to have a look
at this
Multi Frequency Diffuser
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