Efficient Integral Equation Algorithms and Their Application to RFID Installation.

Abstract

This research reduces the expense of solving multiscale frequency domain surface integral equation problems by application of an efficient hierarchical geometry description and an alternative approach to matrix conditioning. The cost of preparing a structure for simulation is minimized by multilevel retention of facet translation and rotation data. Overlapping sub-domain bases are then simultaneously applied via a new iterative procedure that ascertains the common sub-basis solution to the overdetermined system. This approach is highly convergent and provides accurate solutions without degradation to existing O(N) fast algorithms. New sheet impedance forms are introduced ensuring proper material representation. These methods are then applied in the optimization of low frequency Tire Pressure Monitoring Sensor placement on a metallic vehicle rim. Test methods required for accurate measurement of low frequency magnetic fields are discussed and measurements of an automobile wheel under like stimuli match simulated results.