Microwave propagation through round waveguide partially filled with ferrite

The theory of microwave propagation through an unbounded ferrite medium magnetized along the direction of microwave propagation is considered, and expressions are derived for the components of the microwave field. Boundary conditions are applied, and characteristic equations are derived for four circularly symmetric shapes, namely (a) Ferrite-filled round waveguide. (b) Ferrite rod at the centre of round waveguide. (c) Ferrite tube adjacent to the wall of round waveguide. (d) Ferrite tube in the centre of round waveguide. Some propagation constants have been computed for the last three shapes. The method is such that it may easily be extended to give the characteristic equations for any circularly symmetric shape of ferrite inside round waveguide in addition to the characteristic equations given in the paper. At 9370Mc/s some computed results of Faraday rotation have shown reasonable agreement with those measured on ferrite rods. The results of a specimen investigation of the variation of the propagation coefficient with change of ferrite dimension are included.