EM Scattering by Gyrotropic Circular Cylinders With Arbitrarily Oriented External Magnetic Bias

We extend a developed coupled-field volume integral equation (CFVIE) method to solve the electromagnetic (EM) scattering by a gyrotropic circular cylinder, under normal incidence, with arbitrarily oriented external magnetic bias. When the magnetic bias is not aligned with cylinder’s axis, the permittivity and permeability are described by fully populated tensors. As a consequence, the total fields cannot be separated to
${\mathrm{ TE}}^{{z}}$
and
${\mathrm{ TM}}^{{z}}$
but, instead, are hybrid. The CFVIE is then solved by the cylindrical Dini series expansion (CDSE) method. We validate the extended CFVIE with the HFSS commercial software, and we report on the complex natural frequencies of ferrite (i.e., gyromagnetic) cylindrical resonators magnetized under oblique magnetic bias.