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Numerical modelling of equilibrium charge separation in poled devices
Author(s) -
De Francesco A.,
Town G. E.
Publication year - 2001
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.428
Subject(s) - electric field , poling , convergence (economics) , voltage , materials science , numerical analysis , newton's method , electric potential , computational physics , computer science , mechanics , optoelectronics , physics , nonlinear system , mathematics , dielectric , mathematical analysis , quantum mechanics , economics , ferroelectricity , economic growth
Abstract We describe an efficient numerical procedure for the equilibrium solution of the internal electric field distribution resulting from poling of photo‐refractive materials. This technique has been developed to model the equilibrium state in poled bulk devices requiring bulk charge neutrality to facilitate the modelling of blocking boundaries for a high externally applied voltage (bias) in the kV range for a small number of points. This technique is an improvement on existing conventional numerical techniques employed for modelling semiconductor devices that are intended for low bias. This method can also accommodate the modelling of planar insulators and organic optical materials. We develop an algorithm incorporating the existing Newton–Raphson method for solving Kukhtarev's equations that enforces conservation of charge within the modelled system. We apply this technique to model one‐dimensional charge separation in ultraviolet (UV) excited poling of glass and, report numerical equilibrium electric field distribution for a 2 kV bias. The convergence behaviour of the algorithm is investigated and compared against the Newton–Raphson method. Copyright © 2001 John Wiley & Sons, Ltd.