Computer Simulation of Polarization vs. Electric-Field Curves of Non-Linear Dielectrics and Macromodel for SPICE simulator
Nonlinear dielectrics such as ferroelectrics, relaxors and frequency-tunable capacitors are desired to be handled in circuit simulators such as the SPICE. We have developed a software package to simulate a wide variety of nonlinear dielectrics in the SPICE. In the simulation of the polarization vs. electric field curve ($P$–$E$ curve), the program code "$P$–$E$ simulator" divided the $P$–$E$ curve into two parts, a nonlinear dielectric part and a domain-switching part. In the former, the polarization was calculated as a linear expansion in terms of electric field, while in the latter, the polarization due to domain switching was calculated by assuming that the distribution of domain-switching probability was represented by Gaussian distribution functions. Two Gaussian distribution functions were required to accurately simulate the $P$–$E$ curves of ferroelectric materials with the 180-degree and the non-180-degree domains. A circuit model with two capacitors and an arbitrary voltage source was proposed for a macromodel of nonlinear dielectrics in the SPICE. The netlist data to the SPICE were automatically generated using the program code "Mk-netlist" from the parameters determined using the $P$–$E$ simulator. The $P$–$E$ curves of a PZT thin film and multilayered ceramics capacitors were successfully simulated in the SPICE without the trial-and-error process.
- Japanese journal of applied physics. Pt. 1, Regular papers & short notes
Japanese journal of applied physics. Pt. 1, Regular papers & short notes 42(11), 6983-6987, 2003-11-15