Magnetic materials with conjugate major loops

This paper considers magnetic materials whose upper ( B + ) and lower ( B − ) major loops are conjugate, mapping into each other through reflection through the origin: B ± ( − H ) = − B ∓ ( H ) . Conjugacy imposes conditions also on the gradients of the major loops, ensures certain combinations of the major loops are either even or odd functions of H , and imposes constraints on E v , the energy loss per unit volume per cycle. Conjugacy is shown to hold, to a good degree of approximation, for several examples from power steels and ferrites. The bounds on E v are satisfied by the published experimental data considered, and the properties of the identified even and odd functions of H are discussed.