Sensitivity and spatial resolution of square loop SQUID magnetometers
S Rombetto, A Vettoliere, C Granata, M Russo, C Nappi

TL;DR
This paper derives simplified formulas for the flux sensitivity and spatial resolution of square loop SQUID magnetometers, aiding performance assessment and design comparison.
Contribution
It provides a new, simplified analytical approach to evaluate the sensitivity and spatial resolution of square loop SQUIDs, extending previous circular coil models.
Findings
Derived closed-form expressions for flux sensitivity and spatial resolution.
Results closely match previous circular coil calculations with minor differences.
Facilitates performance evaluation and design optimization of SQUID magnetometers.
Abstract
We calculate the flux threading the pick-up coil of a square SQUID magnetometer in the presence of a current dipole source. The result reproduces that of a circle coil magnetometer calculated by Wikswo with only small differences. However it has a simpler form so that it is possible to derive from it closed form expressions for the current dipole sensitivity and the spatial resolution. The results are useful to assess the overall performance of the device and to compare different designs.
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