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

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- Mar 22nd 2013, 05:00 AMmatmmanbessel 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 - Mar 22nd 2013, 06:28 AMShakarriRe: bessel integral please help me
Let $\displaystyle \phi'=A, \phi=B$

$\displaystyle cos(2A)= cos^2A-sin^2A$

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

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

Let $\displaystyle jka.sin(\theta)=t$

$\displaystyle e^{t(cos(B-A)}= e^{t(cosBcosA-sinBsinA)}=e^{t(cosBcosA)}\cdot e^{t(sinBsinA)}$

Now try to integrate

$\displaystyle 2cos^2(A)\cdot(e^{t(cosBcosA)}\cdot e^{t(sinBsinA)})dA$ - Mar 22nd 2013, 06:53 AMmatmmanRe: bessel integral please help me
**thanks**is difficult

but how you could integrate the remaining it - Mar 24th 2013, 03:24 AMmatmmanRe: bessel integral please help me
**Hi All....Does any one know how to complete this integration** - Mar 26th 2013, 09:45 PMmatmmanRe: bessel integral please help me
please any one have idea to complete this integration

please help me