Efficient MT-Based Compact FDTD Algorithm for Longitudinally-Magnetized Ferrite-Loaded Waveguides

In this work, a compact
finite-difference time-domain (FDTD) algorithm with a memory-reduced technique
is proposed for the dispersion analysis of rectangular waveguides either fully
or partially loaded with longitudinally-magnetized ferrite. In this algorithm,
the divergence theorem is used to eliminate the longitudinal components of the
electric and magnetic flux densities. The mobius transform (MT) technique is
applied for the first time to obtain the equations relating the magnetic field
to the magnetic flux density in a ferrite medium. Some examples are presented
to validate the obtained algorithm with numerical results: good agreement is
obtained with a significant reduction in the memory space requirement compared
to the conventional algorithm.

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