Rectangular Waveguide Field in Polar Coordinates

[garethstudent]

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?

Thanks,
Gareth

 

[diazona]

You could just solve the equations you have for $E_r$ and $E_\theta$ - they're linear equations, so it'll be easy ;-)

 

[garethstudent]

You could just solve the equations you have for $E_r$ and $E_\theta$ - they're linear equations, so it'll be easy ;-)

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