Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2008

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Help with 3 dimensional Fourier Integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90463] Re: Help with 3 dimensional Fourier Integral
  • From: David Wood <dmwood at comcast.net>
  • Date: Thu, 10 Jul 2008 06:34:39 -0400 (EDT)
  • References: <g51ue7$6uv$1@smc.vnet.net>

bye from <fireyend at yahoo.com> wrote:
> int
> dk^3 exp[i k.x]/(k^2(k+q)^2)
> 
> Here k=(k1,k2,k3), x=(x1,x2,x3),
> q=(q1,q2,q3), k^2=k1^2+k2^2+k3^2, q is arbitrary, with the usual dot product.      
Customarily, one would first align the kz axis with the `external' vector
x, resulting in the argument of the exponential's becoming I |k| |x|
cos(ang between k and x).  Then integrate over the azimuthal angle (giving
a factor of 2 pi), then over the angle between k and x.  The resulting function
should be more manageable, and I think coughs up a difference betwen two
logs.

Hope this helps.

-- 
D. M. Wood
wood43 at comcast.net


  • Prev by Date: Re: How to show tick labels w/o showi the tick marks?
  • Next by Date: Re: Re: How to find the Max of a Piecewise function
  • Previous by thread: Help with 3 dimensional Fourier Integral
  • Next by thread: Re: remote Kernel