Numerical Adjustment of Waveguide Ferrite Switches Using Tri‐toroidal Resonators

This chapter schematically depicts two possible half‐wave long latched gyromagnetic resonators met in the design of waveguide switches. The internal direct magnetization of the tri‐toroidal gyromagnetic resonator is established by either winding a single switching wire around the core of the tri‐toroid or by wrapping individual wires around its vertical back members. The chapter includes calculations on the flux on either side of the current‐carrying wire loop. It also includes calculations on the splitting between the degenerate counterrotating modes of the tri‐toroidal cavity. The main problem under consideration is that of an equilateral triangle divided into two regions by an irregular hexagonal wire. The chapter presents the exact relationship between the split frequencies and the shape factor of the tri‐toroidal cavity. This may be done by having recourse to three‐dimensional magnetostatic and high frequency finite element (FE) solvers. The chapter also discusses the design of a composite prism resonator using two different ferrite materials.