Geometric representation of errors in measurements of strain and temperature

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Abstract
Many optical fiber sensors, designed to recover quasistatic strain fields in the presence of significant temperature changes, have been reported in recent years. A number of recent publications have attempted to devise a method for assessing the relative performances of such sensing schemes. Here we report an analysis that represents the data recovery process from a geometrical standpoint and provides useful insight into the physical differences between measurement schemes. The performance of methods based on Bragg grating sensors, polarization-maintaining Fabry-Perot interferometers, combined dualmode interference-polarimetry sensors, and dispersive Fourier-transform spectroscopy measurements are contrasted.

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