Self-biased millimeter-wave circulators can be built using hexaferrite
materials with high internal anisotropy field, thus avoiding the use
of large and heavy permanent magnets. The design principles of these d
evices are considered thoroughly in the article for both below- and ab
ove-resonance circulators. The article treats the classical structure
of a half-wave-long ferrite cylinder, two dielectric spacers, and two
metal transformers. A simple microwave technique for the measurement o
f the necessary parameters of the hexaferrite material is used. The ch
oice of an adequate material with a proper value of the internal aniso
tropy field is discussed. An accurate procedure for the dimensioning o
f the ferrite insert and the spacers that eliminates the tedious cut-a
nd-try work is described. A way to find the effective internal magneti
c field is shown. Simple relations for the calculation of the matching
elements are also given. Results on an above-resonance 33 GHz self-bi
ased circulator that support the theory are presented.