ON  THE  SOLUTION  OF  TWO-DIMENSIONAL  POISSON’S 
EQUATION  FOR  THE  CASE  OF  A  SPACE-CHARGE 
CLOUD  WITH  SMOOTH  CURVILINEAR  BOUNDARIES.
I. PLANE  GEOMETRY

S. I. Shevchenko

Institute for Analytical Instrumentation RAS, Saint-Petersburg

    The paper presents an algorithm for solving two-dimensional Poisson’s equation in plane geometry by the boundary integral equation method for the case of space charge cloud with smooth curvilinear boundaries.