Wavelet Analysis of the Magnetic Field Distributions Caused by Multi-layered Current Distribution

Abstract

We try to control the magnetic field distribution at a flat square surface by means of the multi-layered flat exciting coils in order to work out a magnetic domain-observing instrument under the controlled magnetic field distributions. Our designing methodology is reduced into solving for an ill-posed inverse problem. When we solve an ill-posed inverse problem, it is possible to apply the Generalized Vector Sampled Pattern Matching (GVSPM, in short) method. In order to reveal the fitness between the desired and generated magnetic field distributions, it is essential to use an objective function defined by the multi-resolution analysis of a discrete wavelet transform. As a result, we have confirmed that the desired magnetic field distribution could be realized by our method.