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Rectangular Waveguide Field in Polar Coordinates

  1. May 22, 2009 #1
    Hi, I have the fields for a rectangular waveguide in terms of cartesian components, that is, Ex, Ey, Hx, Hy. I need to convert these to polar components in terms of r and theta.

    I've done this the other way around, converted a circular waveguide field which was written in terms of r and theta to the cartesian components by Ex=Er*cos(theta)-Etheta*sin(theta) and Ey=Er*sin(theta)+Etheta*sin(theta).

    Can anyone help convert the cartesian components of the rectangular waveguide into polar components in a similar way?

  2. jcsd
  3. May 22, 2009 #2


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    Homework Helper

    You could just solve the equations you have for [itex]E_r[/itex] and [itex]E_\theta[/itex] - they're linear equations, so it'll be easy ;-)
  4. May 22, 2009 #3

    Thanks, actually I've figured it out. It was just a question of mapping the vectors in the right direction!
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