1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Spectrum of plane EM wave

  1. Aug 19, 2009 #1

    Let E(r,t) = E(r)exp(-ikz)exp(iwt)
    be a plane wave in time domain, propagating along Z direction.

    I wonder how to find the spectral representation of it (i.e. E(r,w))??

    I know, for a finite intensity field (i.e. |E(r,t)|^2 < infinity), we can give the spectral representation of the signal by,

    E(r,w) = Fourier Transform of [E(r,t)].

    But when I do the intergration in Fourier Transform between the + infinity and - infinity, I can't get a solution for above.

    Can any one help me with this???

  2. jcsd
  3. Aug 19, 2009 #2


    User Avatar
    Science Advisor

    The spectrum is a Dirac delta function in omega [tex]\delta(\omega-\omega_0)[/tex]
    if E(t)~[tex]e^-i\omega_0 t[/tex].
  4. Aug 20, 2009 #3
    Thanks Clem.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Spectrum of plane EM wave
  1. EM Waves and EM Pulses (Replies: 4)

  2. EM waves (Replies: 4)