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Thread: bessel integral please help me

  1. #1
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    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
    Attached Thumbnails Attached Thumbnails bessel integral  please help me-bessel-integral.jpg  
    Last edited by matmman; Mar 22nd 2013 at 05:03 AM.
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  2. #2
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    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
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  3. #3
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    Re: bessel integral please help me

    thanks
    but how you could integrate the remaining it
    is difficult
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  4. #4
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    Re: bessel integral please help me

    Hi All....Does any one know how to complete this integration
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  5. #5
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    Re: bessel integral please help me

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