Modeling hysteresis by analytical reversal curves

Simpler hysteresis models approximate initially symmetrical hysteresis loops, more advanced models determine the distribution of domains in Preisach diagrams. First method may lead to serious inaccuracies for very weak or very strong fields and needs special assumptions for the construction of reversal curves. The second method involves troublesome calculations related to integrating. Presented model uses general form of first-order reversal curves resulting from their characteristic symmetry to analytical description of hysteresis loops, main magnetization curves, FORC diagrams. Thus, hysteretic phenomena are described by their basic properties, without additional hypotheses or mathematical problems.