(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi, I need to integrate this:

[tex]\int[/tex](J_{0}(r))^{2}rdr between 0<r<a

It is for calculating the energy of a nondiffracting beam inside a radius of a. (the r is because of the jacobian in polar coordinates)

3. The attempt at a solution

I saw somewhere that said the integral was a known one and it didn't even bother to write it down but couldn't find it anywhere else

I think it might be found also in Ballanis:antenna theory but I can't find the book

Thanks in advance

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# Homework Help: Integration of Bessel function

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