Affiliation:
1. Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
2. Amur State University
Abstract
The problems of reconstructing the unknown parameters of the model of electron-induced charging of an inhomogeneous polar dielectric from additional information about the volume charge density distribution and the electric field strength are studied. Within the optimization approach, these inverse problems are reduced to control problems and their solvability is proved. For extremum problems, optimality systems are derived and, based on their analysis, local uniqueness of the solution of one of the considered problems is proved. Taking into account the introduced characteristic of the inhomogeneity of the dielectric, auxiliary results on the solvability and properties of solutions of the boundary value problem, obtained earlier for the model of charging of a homogeneous dielectric, are corrected.
Publisher
The Russian Academy of Sciences
Reference31 articles.
1. Chan D.S.H., Sim K.S., Phang J.C.H. A simulation model for electron irradiation induced specimen charging in a scanning electron microscope // Scanning Spectroscopy. 1993. V. 7. № 31. P. 847–859.
2. Sessler G.M., Yang G.M. Charge dynamics in electron-irradiated polymers // Braz. J. Phys. 1999. V. 29. № 2. P. 233–240.
3. Suga H., Tadokoro H., Kotera M. A simulation of electron beam induced charging-up of insulators // Electron Microscopy. 1998. V. 1. P. 177–178.
4. Cazaux J. About the mechanisms of charging in EPMA, SEM, and ESEM with their time evolution // Microscopy and Microanalysis. 2004. V. 10. № 6. P. 670–680.
5. Борисов С.С., Грачев Е.А., Зайцев С.И. Моделирование поляризации диэлектрика в процессе облучения электронным пучком // Прикладная физика. 2004. № 1. С. 118–124.