# Math Help - bessel integral please help me

1. ## 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

2. ## 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

$2cos^2(A)\cdot(e^{t(cosBcosA)}\cdot e^{t(sinBsinA)})dA$

3. ## Re: bessel integral please help me

thanks
but how you could integrate the remaining it
is difficult

4. ## Re: bessel integral please help me

Hi All....Does any one know how to complete this integration

5. ## Re: bessel integral please help me

please any one have idea to complete this integration
please help me