单层稳恒电流斗篷

Single-layer Steady Electric Current Cloak

利用电导方程,推导了空心圆柱导体内外的电势。根据欧姆定律的微分形式,推导了电流密度和电势的关系。利用电场切线方向连续和电流密度法线方向连续的边界条件,得到了空心圆柱导体内外的电势和电流密度。计算和模拟结果表明:特殊尺寸的单层空心圆柱导体能够斗篷稳恒电流。

Utilizing the conductivity equation, the electric potential inside and outside a hollow cylinder conductor is derived. According to the differential form of the ohm’s law, the relation between electric current density and electric potential is deduced. Utilizing the boundary conditions in which the electric field is continuous in the tangential direction and electric current density is continuous in the normal direction, the electric potential and electric current density inside and outside a hollow cylinder conductor is derived. Calculation results show that the single-layer hollow cylinder conductor can cloak steady electric current.