Results 1 to 5 of 5

Math Help - bessel integral please help me

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    canada
    Posts
    15

    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; March 22nd 2013 at 05:03 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Oct 2012
    From
    Ireland
    Posts
    591
    Thanks
    159

    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
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2012
    From
    canada
    Posts
    15

    Re: bessel integral please help me

    thanks
    but how you could integrate the remaining it
    is difficult
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Oct 2012
    From
    canada
    Posts
    15

    Re: bessel integral please help me

    Hi All....Does any one know how to complete this integration
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Oct 2012
    From
    canada
    Posts
    15

    Re: bessel integral please help me

    please any one have idea to complete this integration
    please help me
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: October 31st 2012, 10:34 AM
  2. integral involving the Bessel function
    Posted in the Calculus Forum
    Replies: 0
    Last Post: January 15th 2012, 08:03 AM
  3. Integral involving Bessel Function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 26th 2009, 10:33 AM
  4. integral expression for bessel functions...
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 17th 2009, 02:07 PM
  5. Replies: 3
    Last Post: February 4th 2009, 12:35 AM

Search Tags


/mathhelpforum @mathhelpforum