稳态场中源的识别、设计与实验

IDENTIFICATION AND OPTIMAL DESIGN PROBLEMS IN ELECTROSTATIC FIELDS AND THEIR EXPERIMENT

应用优化方法给出了椭圆型方程反演问题的三种不同条件下的解法.还给出了物理实验方法及结果,说明所给方法不仅是可行的,还可推广应用于其他各类稳态场分布的源函数识别和设计中.

The problems considered are how to estimate the charge distribution in an eletrostatic field by some known potential data at certain points and how to design the optimal charge distribution in an electrostatic field such that its potential distribution fits a given state as well as possible. These problems are motivated by physical prospecting and biomedicine. Some algorithms for solving these problems are derived by making use of optimization techniques, and some physical experiments are given for judging the digital simulation results derived from these algorithms. The micro-computer is employed In these experiments.