Rectangular Waveguide Field in Polar Coordinates

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SUMMARY

The discussion focuses on converting the electric and magnetic field components of a rectangular waveguide from Cartesian coordinates (Ex, Ey, Hx, Hy) to polar coordinates (Er, Eθ). The user, Gareth, initially sought assistance for this conversion, referencing his previous experience with circular waveguides. Ultimately, he resolved the issue by correctly mapping the vectors in the appropriate direction, confirming that the equations for Er and Eθ are linear and straightforward to solve.

PREREQUISITES
  • Understanding of electromagnetic field theory
  • Familiarity with waveguide structures, specifically rectangular waveguides
  • Knowledge of coordinate transformations between Cartesian and polar coordinates
  • Basic proficiency in solving linear equations
NEXT STEPS
  • Study the mathematical principles of electromagnetic wave propagation in rectangular waveguides
  • Learn about the specific equations governing electric and magnetic fields in waveguides
  • Explore coordinate transformations in greater depth, particularly between Cartesian and polar systems
  • Investigate practical applications of waveguide theory in telecommunications and microwave engineering
USEFUL FOR

Electrical engineers, physicists, and students specializing in electromagnetics or waveguide technology will benefit from this discussion, particularly those working with field transformations in waveguide applications.

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

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