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Achieving the Highest Accuracy With the BEM

Published online by Cambridge University Press:  28 September 2015

Abstract

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The high accuracy that can be achieved by the Boundary Element Method when it is used to solve the Laplace and Poisson equations for electrostatic systems is discussed. Applications to charged particle optics are described, with the emphasis on the commercial CPO programs [1]. The BEM is a charge-based method and so is ideally suitable for systems that include space-charge and/or cathodes. It can deal easily with electrodes of very different sizes. These and other properties of the BEM are illustrated by a range of benchmark tests.

Type
Numerical Methods
Copyright
Copyright © Microscopy Society of America 2015 

References

References:

[1] Available at www.electronoptics.com, including free demonstration version.Google Scholar
[2]Read, FH, Adams, A & Soto-Montiel, JR, J. Phys E: Sci. Instrum 4 (1970). p. 625.CrossRefGoogle Scholar
[3]Harting, E & Read, FH, Electrostatic Lenses. Elsevier, Amsterdam), 1976.Google Scholar
[4]Read, FH & Bowring, NJ, Nucl. Instr. Meth. A 645 (2011). p 273.CrossRefGoogle Scholar
[5]Birtles, AB, Proc. IEEE 120 (1973). p 213.Google Scholar
[6]Renau, A, Read, FH & Brunt, JNH, J. Phys E. Sci. Instrum. 15 (1982). p 347.CrossRefGoogle Scholar
[7]Cubric, D, Lencova, B & Read, FH, Electron Microscopy and Analysis 1997, Inst. Phys. Conf.Ser. 153 (1997). p. 91.Google Scholar
[8]Cubric, D, et al, Nucl. Instr. Meth A427 (1999). p. 357.CrossRefGoogle Scholar
[9]Hanke, K, et al, Rev. Sci. Istrum 73 (2002). p. 783.CrossRefGoogle Scholar
[10]Read, FH, International Series on Advances in Boundary Elements 8, Boundary Elements XXII (eds. CA Brebbia and H Power. (WIT Press, Southampton) (2000). p. 139.Google Scholar
[11]Hawkes, PW & Kasper, E in Principles of Electron Optics. Academic Press, New York.Google Scholar
[12]Kuno, Y & Uchikawa, Y, IEEE T. Magn 21 (1985). p. 2523.CrossRefGoogle Scholar
[13]Tsuboi, H, Takayama, T & Yano, K, IEEE T. Magn 35 (1999). p. 1123.CrossRefGoogle Scholar
[14]Murata, H, Ohye, T & Shimoyama, H, Nucl. Instrum. Meth. A 519 (2004). p. 184.CrossRefGoogle Scholar
[15]Read, FH, Chalupta, A & Bowring, NJ, SPIE Proc. Ser. 3777 (1999). p 184.CrossRefGoogle Scholar
[16]Read, FH & Bowring, NJ, Nucl. Instrum. Meth. A 531 (2004). p 407.CrossRefGoogle Scholar