# bessel integral please help me

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• March 22nd 2013, 05:00 AM
matmman
bessel integral please help me
hi all
please could you help me how do we integrate this integration in the attachment the answer is bessel function the integration is for loop antenna

thanks
• March 22nd 2013, 06:28 AM
Shakarri
Re: bessel integral please help me
Let $\phi'=A, \phi=B$

$cos(2A)= cos^2A-sin^2A$
$cos(2A)+1= cos^2A-sin^2A+1= 2cos^2A$

$cos(B-A)= cosBcosA-sinBsinA$

Let $jka.sin(\theta)=t$
$e^{t(cos(B-A)}= e^{t(cosBcosA-sinBsinA)}=e^{t(cosBcosA)}\cdot e^{t(sinBsinA)}$

Now try to integrate

$2cos^2(A)\cdot(e^{t(cosBcosA)}\cdot e^{t(sinBsinA)})dA$
• March 22nd 2013, 06:53 AM
matmman
Re: bessel integral please help me
thanks
but how you could integrate the remaining it
is difficult
• March 24th 2013, 03:24 AM
matmman
Re: bessel integral please help me
Hi All....Does any one know how to complete this integration
• March 26th 2013, 09:45 PM
matmman
Re: bessel integral please help me
please any one have idea to complete this integration
please help me