Modal characteristics of ferrimagnetic tridisk-coupled resonator

The eigenvalue characteristics of a ferrimagnetic tridisk-coupled (TDC) resonator are described first. A TDC resonator is made of three AlYIG ferrite disks partially scraped and mutually attached on a center conductor. The EM field is treated with a consistent theory. The eigenvalue characteristics computed with stress on the mode of ν=1 are represented by the Z₁₀ versus Z₀ and Z₁ versus κ/μ relationships, where Z₁₀ is a degenerate eigenvalue, Z₀ is a wavenumber-eccentric radius product, and Z₁ is a continuously varying eigenvalue dependent on κ/μ with a given value of Z₀. Z₁₀ is distinguished by either a single- or double-value region as a function of Z₀. The computed Z₁ versus κ/μ graph belonging to the double-value region demonstrates a contradiction to the physical reality, which is resolved by introducing an equivalent circular resonant mode. The equivalent resonant mode is definitely identified by a degenerate eigenvalue and its modal curve with large modal separation. Experiments were carried out with various center conductors. The experimental results support the equivalent resonant mode. Finally, discussions are presented