Abstract:
This paper describes a method to obtain an analytical expression for the nonlinear dependence of the ferroelectric polarization on the external electric field. To find analytical dependence, used a special ${K_ml}$ -function of second order. Listed structure built of series and groups of series representing ${K_ml}$ -function at any point in the complex plane. Analyzed domain of convergence of series , received as a boundary condition. To show the application of the method, as an example used a ferroelectric polymer polyvinylidene fluoride (PVDF-TrFE ). The proposed method can be used for any other ferroelectric or nonlinear systems ordered in the neighborhood of phase transitions under various external influences.
Keywords:Nonlinear systems, analytical expression, special Kml-function of second order, ferroelectric, polarization on the external electric field.
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