Abstract

The calculation method of relative sensitivity ($Sr$) for fluorescence intensity ratio (FIR) thermometry is discussed, taking the ${}^3{\mathrm{F}}_3-{}^3{\mathrm{H}}_6$ and ${}^3{\mathrm{H}}_4-{}^3{\mathrm{H}}_6$ transitions of ${\mathrm{Tm}}^{3+}$ as examples. The value of $Sr$ is calculated using its original definition, and is found to largely deviate from the result obtained using the conventional method that is widely used at present. This deviation is found to stem from the neglect of an offset. A modified expression of $Sr$ is proposed, which shows the true performance of FIR technology and makes it possible to precisely compare the $Sr$ values obtained using various methods.

© 2017 Optical Society of America

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