Research On Solution Of Electromagnetic Field Boundary Value

In this paper, the different boundary conditions for solving the electrostatic field under study. Boundary conditions for the electrostatic field equations of mathematical physics as well as of great significance. Some of the definition of electrostatic field boundary at infinity, some electrostatic field is localized field; some of the first boundary condition, some the second boundary condition, some third boundary condition, and some mixed boundary conditions; as a physical problem, boundary conditions are different, their mathematical solution can be very different even with the difference in the nature.Variable separation method, image method, conformal mapping method, Green function, Green and Back method, finite difference method, numerical calculation method is commonly used for solving electrostatic boundary value method, the paper some of these methods were introduced, and Integrated with the above method to solve the following issues:(1) of the finite charge model to analyze, solve and describing its equipotential lines and power lines, the first use of Integral Element Method planar field of space electric potential distribution satisfied by the Poisson equation, and then use the power lines and equipotential lines are paid nature of the implicit function mapping and computing tools Mathematica combining Finite Line Charge surrounding space electric potential function and power line function of the unified description of strictly calculated potential function and the power line functions, and make corresponding mutual orthogonal equipotential line maps and the power line maps, and make the necessary discussion. (2) semi-cylindrical protrusions on the ground conductor and the electric field line charge up the system to solve and discussion, this article discussed the use of conformal mapping method with a half-line charge and an infinite convex cylindrical grounded conductor of the electric field formed by Confucianism can Gauss transform and plane mirror method, drawn line above the space charge region in the conductor potential distribution and field distribution, and use mathematical software to draw the field lines and equipotential lines (surface) map. (3) chiral media 4 correspondence between physical equations and the equivalent of proof, in chiral media research process, have been proposed in various forms of physical equations. As the expression of different forms and use of symbols, it is likely to cause misunderstanding and confusion. In this paper, four common forms of physical equations were derived and the order, given the correspondence between them; (4) on the process of solving the main solution method used for analysis and discussion.The discourse, (2) and (3) teaching materials and teaching in electromagnetics class references are rarely involved, this article describes electromagnetic materials contribute to the fulfillment and perfection.