Wavelet Analysis of Optimization Problems:Designing of a flat shape magnetic sensor

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Modern magnetic sensors such as eddy current sensor are widely used for the non-destructive testing to search for the defect and crack in the metallic materials constructing the aircraft, ship, bridge and so on. Recently, flat shape magnetic sensors having high sensibility are required to check up the quality of iron sheets, because only small defect or crack invokes a deterministic fault cans used for the drinks, e.g. beer, cokes and fruit juice. We are now developing a flat shape magnetic sensor to respond such a requirement. Sensibility of our magnetic sensor mainly depends on the rate of inductances between the off and on target magnetic material. This means that we have to carry out the inefficient inductance computations changing various design parameters. Since the value of inductance change greatly depends on the magnetic flux distribution at the vicinity of target magnetic material, then it is possible to design the magnetic sensor in a quite efficient manner when evaluating the feature of magnetic field distribution. In the present paper, we apply a multi-resolution analysis to the change of magnetic fields at the vicinity of target magnetic material. As a result, a homogeneous magnetic field change between off and on target dominates the change of inductance value.
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