Failure of Numerical modeling of 3-D Position Reconstruction from 3-Axial Planar Spiral Coil Sensor Sensitivity due to Existence of Quadratic Terms

TL;DR

This paper investigates the challenges in 3-D position reconstruction using planar spiral coil sensors, revealing that quadratic terms cause failure in numerical modeling methods.

Contribution

It introduces a sensitivity profile for PSCS and demonstrates the limitations of a self-consistent field-like numerical reconstruction method.

Findings

Numerical method fails due to quadratic terms.

Sensitivity profile relates sensor response to 3-D position.

Reconstruction accuracy is compromised by quadratic effects.

Abstract

A sensitivity profile of a planar spiral coil sensor (PSCS) is proposed and is used to generate the relation of 3-D position of object observed using three PSCSs, one in each x, y, and z axis to the sensors response. A numerical procedure using self consistent field-like method to reconstruct the real position of observed object from sensor sensitivity is presented and the results are discussed. Unfortunately, the procedure fails to approach the desired results due to the existence of quadratic terms.