Modeling electrostatic potential in FDSOI MOSFETS: An approach based on homotopy perturbations

Kevkić, Tijana S. • Nikolić, Vojkan R. • Stojanović, Vladica S. • Milosavljević, Dragana D. • Jovanović, Slavica J.

Abstract

Modeling of the electrostatic potential for fully depleted (FD) silicon-on-insulator (SOI) metal-oxide-semiconductor field effect transistor (MOSFET) is presented in this article. The modeling is based on the analytical solution of two-dimensional Poisson’s equation obtained by using the homotopy perturbation method (HPM). The HPM with suitable boundary conditions results in the so-called HPM solution in general and closed-form, independent of the surface potential. The HPM solution has been applied in modeling the output characteristics of the FDSOI MOSFET, which show good agreement compared with the numerical results.

Funding

Authors thank the Ministry of Education, Science and Technological Development of the Republic of Serbia for support under Contract No. 451-03-9/2021-14
Faculty of Sciences and Mathematics in Kosovska Mitrovica (University of Priština in Kosovska Mitrovica, Department of Physics) for support under the project ИЈ-0201