MATLAB: Double integration in matlab

double integrationmatlab functionnumerical integrationsurface plots

Hii Friends,
I am switching over form mathcad to matlab for performing double integrals.
In mathcad it was quite easy as there was no need of any syntax. I would like to implement it in matlab also.
Could you throw me an hint on how to solve the following kind of equations.
I need to evaluate this integral for certain value of z.
Could you give me hint regarding this.
Thanking you.
Pavan

Best Answer

Use MATLAB's "int" twice:
syms a x1 y1 x y z lambda
f = exp(-(x1^2+x2^2)/a^2)*exp(1I*pi/(lambda*z)*((x-x1)^2+(y-y1)^2));
E = int(int(f,x1,-3*a,3*a),x2,-3*a,3*a)
Alternatively:
syms a x1 y1 x y z lambda
f1 = exp(-x1^2/a^2+1I*pi/(lambda*z)*(x-x1)^2);
f2 = exp(-y1^2/a^2+1I*pi/(lambda*z)*(y-y1)^2);
E = int(f1,x1,-3*a,3*a)*int(f2,x2,-3*a,3*a)
Best wishes
Torsten.
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