The following error was reported evaluating the function in FunctionLine update: Unable to convert expression into double array.

1 Ansicht (letzte 30 Tage)
MIN KIR
MIN KIR am 24 Mär. 2023
Bearbeitet: Torsten am 24 Mär. 2023
I am trying to plot the electric field in the x-y plane and this is a part of another calculations of maximizing it.
Here is my code:
syms x y E1(x, y) E2(x, y) E1perRadius(x, y) E2perRadius(x, y) UpperStamba(x, y) E3(x, y) Ein1(x, y) Ein2(x, y) Ein11(x, y) Ein21(x, y) E(x, y) real
pv1 = 5e-6;
pv2 = 10e-6;
a = 0.5;
b = 0.7;
z = 0;
E1(x, y) = ((pv1 .* (a .^ 3)) .^ 2) ./ ((x .^ 2 + (y - 5) .^ 2 + z .^ 2) .^ 2).*(x .^2 + (y - 5) .^2 > 0.25);
E2(x, y) = ((pv2 * (b ^ 3)) ^ 2) ./ (((x - 10) .^ 2 + y .^ 2 + z .^ 2) .^ 2) .* ((x - 10) .^2 + y.^2 > 0.49);
E1perRadius(x, y) = (pv1 .* (a .^ 3) ./ ((x .^ 2 + (y - 5) .^ 2 + z .^ 2) .^ (3 / 2)));
E2perRadius(x, y) = (pv2 .* (b ^ 3) ./ (((x - 10) .^ 2 + y .^ 2 + z .^ 2) .^ (3 / 2)));
UpperStamba(x, y) = (x .^ 2 - 10 .* x + y .^ 2 - 5 .* y + z .^ 2);
E3(x, y) = ((2 .* E1perRadius(x, y) .* E2perRadius(x, y) .* UpperStamba(x, y)) .* (x.^2 + (y - 5).^2 > 0.25) * ((x - 10) .^2 + y.^2 > 0.49));
Ein1(x, y) = ((pv1 .^ 2) .* ((x .^ 2 + (y - 5) .^ 2 + z .^ 2) .^ 2) .* (x .^2 + (y - 5) .^2 <= 0.25));
Ein2(x, y) = ((pv2 .^ 2) .* (((x - 10) .^ 2 + y .^ 2 + z .^ 2) .^ 2) .* ((x - 10) .^2 + y.^2 <= 0.49));
Ein11(x, y) = (2 .* (Ein1(x, y) .^ 0.25) .* sqrt(pv1) .* E2perRadius(x, y) .* UpperStamba(x, y));
Ein21(x, y) = (2 .* (Ein2(x, y) .^ 0.25) .* sqrt(pv2) .* E1perRadius(x, y) .* UpperStamba(x, y));
eo = 8.854e-12;
E(x, y) = ((E1(x, y) + E2(x, y) + E3(x, y) + Ein1(x, y) + Ein2(x, y) + Ein11(x, y) + Ein21(x, y)) .^ 0.5) .* (1 / (3 * eo));
Ed = diff(E, x);
%x = linspace(0, 12, 2000);
%y = linspace(0, 12, 2000);
fsurf(E(x, y), [0 12 0 12])
It gives me the following error and a blank graph:
The following error was reported evaluating the function in FunctionLine update: Unable to convert
expression into double array.
What am I doing wrong?

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Antworten (1)

Torsten
Torsten am 24 Mär. 2023
Bearbeitet: Torsten am 24 Mär. 2023
Ran in:
Your calculations partially produce complex and NaN values. And you cannot prevent this by trying to force them to be real.
pv1 = 5e-6;
pv2 = 10e-6;
a = 0.5;
b = 0.7;
z = 0;
E1 = @(x,y)((pv1 .* (a .^ 3)) .^ 2) ./ ((x .^ 2 + (y - 5) .^ 2 + z .^ 2) .^ 2).*(x .^2 + (y - 5) .^2 > 0.25);
E2 = @(x,y)((pv2 * (b ^ 3)) ^ 2) ./ (((x - 10) .^ 2 + y .^ 2 + z .^ 2) .^ 2) .* ((x - 10) .^2 + y.^2 > 0.49);
E1perRadius = @(x,y)(pv1 .* (a .^ 3) ./ ((x .^ 2 + (y - 5) .^ 2 + z .^ 2) .^ (3 / 2)));
E2perRadius = @(x,y) (pv2 .* (b ^ 3) ./ (((x - 10) .^ 2 + y .^ 2 + z .^ 2) .^ (3 / 2)));
UpperStamba = @(x,y)(x .^ 2 - 10 .* x + y .^ 2 - 5 .* y + z .^ 2);
E3 = @(x,y)((2 .* E1perRadius(x, y) .* E2perRadius(x, y) .* UpperStamba(x, y)) .* (x.^2 + (y - 5).^2 > 0.25) * ((x - 10) .^2 + y.^2 > 0.49));
Ein1 = @(x,y)((pv1 .^ 2) .* ((x .^ 2 + (y - 5) .^ 2 + z .^ 2) .^ 2) .* (x .^2 + (y - 5) .^2 <= 0.25));
Ein2 = @(x,y)((pv2 .^ 2) .* (((x - 10) .^ 2 + y .^ 2 + z .^ 2) .^ 2) .* ((x - 10) .^2 + y.^2 <= 0.49));
Ein11 = @(x,y)(2 .* (Ein1(x, y) .^ 0.25) .* sqrt(pv1) .* E2perRadius(x, y) .* UpperStamba(x, y));
Ein21 = @(x,y)(2 .* (Ein2(x, y) .^ 0.25) .* sqrt(pv2) .* E1perRadius(x, y) .* UpperStamba(x, y));
eo = 8.854e-12;
E = @(x,y)((E1(x, y) + E2(x, y) + E3(x, y) + Ein1(x, y) + Ein2(x, y) + Ein11(x, y) + Ein21(x, y)) .^ 0.5) .* (1 / (3 * eo));
x = linspace(1, 12, 2000);
y = linspace(1, 12, 2000);
[X,Y] = meshgrid(x,y);
E(X,Y)
ans =
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surf(X,Y,real(E(X,Y)),'edgecolor','none')
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