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36th International Field Emission Symposium

J. Phys. Colloques 50 (1989) C8-21-C8-26

DOI: 10.1051/jphyscol:1989804

CONFORMAL MAPPING FOR SURFACE MODELLING

N.P. ANDION et C.M.C. DE CASTILHO

Instituto de Física, UFBa., Campus da Federação , 40 210 Salvador, Bahia, Brazil


Abstract
A conformal mapping method for obtaining electric potentials in a region close to a structured surface is developed. By neglecting one of the surface dimensions and assuming periodicity along the other, the resulting two-dimensional problem can be analytically treated. As examples of the method some arrays of monopoles and dipoles are calculated from which a surface model is proposed and exactly solved.