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seen Dec 1 at 23:22

Jul
6
comment Evaluation of an integral
@joriki I already tried to solve both integrals using Mathematica, and the doesn't return a closed form. Thank you!
Jul
6
awarded  Commentator
Jul
6
comment Evaluation of an integral
yeah, the integrand could really be anything... but what I meant was just a linear combination of $x^{n}$, just like this: $x^{2}+x+1$.
Jul
4
revised Evaluation of an integral
added 7 characters in body
Jul
4
asked Evaluation of an integral
May
29
awarded  Supporter
May
29
accepted Problem with an integration
May
29
comment Problem with an integration
Ok, now I understand what do you do.
May
29
comment Problem with an integration
@joriki Otherwise, is there any way to move this question to physics.se?
May
29
comment Problem with an integration
@joriki I asked here because my biggest problem was mathematical, not physical. I didnt understand what property had been used to manipulate the integral. So, I thought that here was the best place to show my doubt.
May
29
comment Problem with an integration
@joriki sorry about this misunderstood... I just thought that here would be more constructive.
May
29
comment Problem with an integration
don't you forget a piece of the argument of the exponential? The complete argument is: $i\left(k_{x}x+k_{y}y+z\left(k−\dfrac{k^{2}_{x}+k^{2}_{y}}{2k}\right)\right)$. Then the last term will not vanish.
May
29
comment Problem with an integration
@PatrickDaSilva and, as you could note, the exponential term does not represent a plane wave... Its because I used the paraxial approximation, which says that: $ k_{x}^{2}+k_{y}^{2} \ll k^{2} $.
May
29
awarded  Editor
May
29
revised Problem with an integration
added 13 characters in body
May
29
comment Problem with an integration
@PatrickDaSilva well, the l.h.s of the first equation its the spread of the field intensity in a plane normal to the direction of the propagation ($\vec{z}$) of electric field $E(x,y)$. This field could be regarded as a infinitesimal superposition of plane waves.
May
29
comment Problem with an integration
@LubošMotl $A$ is a general function, as you pointed. Could you please show me the "simplest explicit way" that you said above? I just can't see this step.
May
29
asked Problem with an integration
May
29
awarded  Scholar
May
29
accepted Problem with an integral