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I Looking for Doppler Solution to Maxwell's Equations?

  1. Mar 28, 2016 #1
    I'm looking for an EM wave solution to Maxwell's equations that matches the Doppler diagram below.

    That is, circular wavefronts that are not concentric due to the motion of the source.

    hbsmgt9g-1341284530.jpg
    Does a solution that accurately matches the Doppler diagram exist?
     
  2. jcsd
  3. Mar 28, 2016 #2

    Dale

    Staff: Mentor

    The easiest way to get such a solution would be to take e.g. the dipole solution and Lorentz transform it to a different reference frame.
     
  4. Mar 28, 2016 #3
    If so, it will preserve the wavefronts' circular shape right?
     
  5. Mar 28, 2016 #4

    Dale

    Staff: Mentor

    Yes, they will each be spherical, but centered on a different point. This is what causes the classical part of the Doppler shift.
     
  6. Mar 28, 2016 #5
    alright, thanks Dale. you're always a great help :smile:
     
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