Dear Physics Forums users,(adsbygoogle = window.adsbygoogle || []).push({});

My name is Tobias and I'm actually stucking in solving an integral with modified Bessel function of zeroth order. I haven't had that much math in my life to solve this horrible integral. This problem is concerning my private interest to build up a model predicting some weired behaviour in optical fibre cables. Basically function P has to be insert in F(θi,θ) and must be solved by this integral. I just want to know the outcome of the integral. Inserting the limits should be less problematic.

P(θi,θ) = 1/(bL) * exp(-(θ^2+θi^2)/(4DL))* Io ((θ*θi)/(2DL))

b = constant

L = length

D = constant

θ = output angle

θi = incident angle

F(θi,θ) = 2*pi ∫ P(θi,θ)*sin(θi) ∂θi

The integral limits are 0 → Δθ

Thanks a lot.

cheers Tobias

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# Need help in solving an integral!

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