I am trying to calculate (analytically) the integral:(adsbygoogle = window.adsbygoogle || []).push({});

[itex] \int_{0}^{\pi} \left [ \frac{ \sin( \frac{k_0 W \cos \theta}{2})}{\cos \theta} \right]^2 J_{0}(k_0 L \sin \theta ) \sin^3 (\theta ) d \theta [/itex]

where [itex] k_0, W, L [/itex] are constants and [itex] J_0 [/itex] is the Bessel function of the first kind of order zero.

Hint: Maybe we can use sine integrals [itex] Si(x)=\int_{0}^{x} \frac{\sin(\tau)}{\tau} d \tau [/itex].

Thanks in advance,

kprokopi

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# Integral Calculation

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