Hi Chirs,
I understand that you want to sum an infinite series over two variables, "nx" and "ny", using a loop in MATLAB. Your loop has a few issues that need to be addressed to correctly compute the sum over "nx" and "ny." You can follow the steps below to resolve these issues:
- Initialization: Ensure that "r" is initialized correctly before using it in the loop, and check for "r == 0" to prevent division by zero.
- Accumulating the Sum: Make sure "G1" accumulates the computed "term" in each iteration.
- Variable Update: Reset "nx" at the start of each iteration of the outer loop to correctly iterate over "ny."
Here's a sample code incorporating the steps mentioned above.
nx_max = 100;
ny_max = 100;
G1 = 0;
a = 1; % Ensure 'a' is defined
k = 1; % Ensure 'k' is defined
for ny = 1:ny_max
for nx = 0:nx_max
r = a * sqrt((nx^2) + (ny^2));
if r == 0
continue; % Avoid division by zero for r
end
term = (1 / (4 * pi * sqrt((nx^2) + (ny^2)))) * ...
(cos(k * r) - sin(k * r) / (k * r) - cos(k * r) / ((k * r)^2) + ...
(-cos(k * r) + 3 * (cos(k * r) + (k * r) * sin(k * r)) / ((k * r)^2)) * (nx^2) / ((nx^2) + (ny^2)));
G1 = G1 + term;
end
end
disp(G1);
