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"Complex" Integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125882] "Complex" Integral
  • From: Elad <eladarbel at hotmail.com>
  • Date: Thu, 5 Apr 2012 05:58:17 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi Guys,

Im trying to calculate a the integral over the function f(Theta,Phi ; Rho,ph,z ; k)
[Theta -> 0..2 Pi, Phi ->0..1.2],  for a given values of  [Rho,ph,z ; k]

actually i need to calculate f[] for a broad range of values for [Rho,ph,z].


f = (1/2)*
  E^(I*k*z*Cos[\[Theta]] + I*k*\[Rho]*Cos[ph - \[Phi]]*Sin[\[Theta]])*
  sqrt*Cos[\[Theta]]*
    (1 + Cos[\[Theta]] + (-1 + Cos[\[Theta]])*Cos[2*\[Phi]])*
  Sin[\[Theta]]

Im new with Mathematica, and ive read the documentation but probably im doing something wrong,
Ive also tried to plot the surface for given values of  [Rho,ph,z ; k] without much success.

Here is a link to notebook where i tried to plot the surface (from my dropbox):
http://dl.dropbox.com/u/50792162/B1.nb

I would appreciate it if you guys could help me out with it.

10x
Elad



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