Rodrigo Thomas
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 Jul6 awarded Commentator May29 awarded Supporter May29 accepted Problem with an integration May29 comment Problem with an integration Ok, now I understand what do you do. May29 comment Problem with an integration @joriki Otherwise, is there any way to move this question to physics.se? May29 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. May29 comment Problem with an integration @joriki sorry about this misunderstood... I just thought that here would be more constructive. May29 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. May29 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: $k_{x}^{2}+k_{y}^{2} \ll k^{2}$. May29 awarded Editor May29 revised Problem with an integration added 13 characters in body May29 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. May29 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. May29 asked Problem with an integration May29 awarded Scholar May29 accepted Problem with an integral Mar21 awarded Student Mar21 comment Problem with an integral @Approximist Yes, but I don't know any trigonometric relation that give me $\arctan$ by manipulation of $\text{Ei}$. Is there any? Mar21 asked Problem with an integral