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Gyromagnetic Medium

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The relative permeability matrix of a gyromagnetic ferrite medium is given below:

(4.2.12)

In the above equations, H0 is the biasing magnetic field in the z‐direction, Ms is the saturation magnetization, and the parameter γ is the gyromagnetic ratio. Again the cross‐coupling factor jκ is responsible for the gyration property of the relative permeability of a medium. The permeability function shows a singularity at the frequency ω = ω0. It is suppressed in the presence of losses. In the case of unbiased and demagnetized ferrite, H0 = 0 and Ms = 0 leading to k = 0 and μr = 1. The ferrite, in this case, acts as a dielectric medium with permeability μ = μ0.

Introduction To Modern Planar Transmission Lines

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