- #1

asynja

- 16

- 0

Hello! I'm trying to plot some eigenfunctions (for a semicircle) in Mathematica. Functions are of the following form:

$$g_{ms}=J_{2m+1}(y_{ms}x) sin ((2m+1)\varphi)$$

For example, for m=0 and s=1 it should look like what I drew in the attached file "Snapshot". Well, I don't have much experience with Mathematica and the "code" I wrote so far doesn't give me the right result.

Here's my try:

The plot I get is in the attached file "Wrongplot". What am I doing wrong?

$$g_{ms}=J_{2m+1}(y_{ms}x) sin ((2m+1)\varphi)$$

For example, for m=0 and s=1 it should look like what I drew in the attached file "Snapshot". Well, I don't have much experience with Mathematica and the "code" I wrote so far doesn't give me the right result.

Here's my try:

Matlab:

```
m = 0;
s = 1;
dat = Table[{x = RandomReal[{-1, 1}], y = RandomReal[{0, 1}],
BesselJ[(2*m + 1), BesselJZero[m, s]*x]*
Sin[(2*m + 1)*ArcTan[x, y]]}, {1000}];
ListContourPlot[dat]
```

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