Quantity comprehension of optical hysteresis loop

A theoretical model for quantity comprehension optical hysteresis loop is proposed, the model is derived from solution to decay rate differential equation together with boundary conditions. Because there are only four parameters in the model, it is easy to apply it. The model is verified by comparison with experimental data of vanadium oxides materials, the predicted results have an excellent consistency with experimental results. The maximum value of average relative error is 7.19% between measurements and theory, and the minimum data for the correlation coefficient in 18 fitted transmission-temperature curves is 0.994. Besides, it should be noteworthy that the calculation of hysteresis width is also very easy via parameters in this model. To the best knowledge of author, this is the first systemic theory to explain optical hysteresis loop.