电磁场法向边值关系的严密数学理论

阐述了矢量场穿过2阶无穷小平面的通量虽然也是2阶无穷小量,但特殊情况下要求计算精度必须达到3阶无穷小量,为此目的需要把2阶无穷小平面分成无穷多个4阶无穷小面元来计算通量,并且给出如此计算所得结果遵循的规律——3阶无穷小精度下矢量场穿过2阶无穷小平面的通量定理.最后介绍了这个定理在散度理论和电磁场法向边值关系理论中的应用.

Strict mathematical theory of normal boundary valuerelationship of electromagnetic field

Expounded though the flux which vector field through the second order infinitesimal plane is also the second order dimensionless,but in particular cases demand the computational accuracy must achieve the third order dimensionless.For this purpose,it needs to divide the second order infinitesimal plane into infinitely many fourth order infinitesimal surface element to calculate the flux,and give the law that followed by the result that obtained through such calculation:The theorem of vector field through second order infinitesimal plane under third order infinitesimal accuracy.It also introduces this theorem s application in the divergence theory and in the theory of electromagnetic field normal boundary value relations.