Ferrites at microwave frequencies by A.J. Baden Fuller
By A.J. Baden Fuller
Encompasses a complete mathematical remedy of the interplay of an electromagnetic wave with a gyromagnetic ferrite fabric
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Example text
A0/Ag where Ag is the waveguide wavelength inside the ferrite loaded waveguide. The permittivity and permeability of the ferrite material are represented by their relative values where er = 6/fio, fiT = A*//*o, and Kr = /c//x 0 Moreover, the permeability and permittivity of the ferrite are taken relative to the medium filling the rest of the waveguide, whether this is air (vacuum) or any other dielectric material. If the space apart from the ferrite in the waveguide is filled with a dielectric other than air, then the free-space wavelength is taken to be the wavelength in an unbounded medium of that dielectric.
Both components of the electric and magnetic fields exist in the transverse plane. Substitution for p into eqn. 35 gives the relationship between the components of the electric field, showing that Ey = T)EX Continuing the notation of eqns. 41) The relationship given in eqns. 41 is that of a circularly polarised wave. Eqn. 40 describes a positive circularly polarised wave or a right-hand circularly polarised wave and eqn. 41 describes a negative circularly polarised wave or a left-hand circularly polarised wave.
2 Magnetisation equation Under the influence of high frequency magnetic fields, the spinning electrons and their magnetic moments do not necessarily move in phase with the applied magnetic fields. Under these circumstances, any ferromagnetic material will have an internal intensity of magnetisation M which is not necessarily parallel to, or in phase with, the applied magnetic field H. The total magnetic field is then given by B = n0H + M Each minute element in the material may be considered to be a magnetic top, spinning so that the magnetic moment and the angular momentum are parallel vectors.