A Dual-Cavity Fiber Fabry-Pérot Interferometer for Simultaneous Measurement of Thermo-Optic and Thermal Expansion Coefficients of a Polymer

Polymers (Basel). 2022 Nov 16;14(22):4966. doi: 10.3390/polym14224966.

Abstract

This paper presents a novel method based on a dual-cavity fiber Fabry-Pérot interferometer (DCFFPI) for simultaneously measuring the thermo-optic coefficient (TOC) and thermal expansion coefficient (TEC) of a polymer. The polymer is, by nature, highly responsive to temperature (T) in that its size (length, L) and refractive index (RI, n) are highly dependent on the thermal effect. When the optical length of the polymer cavity changes with T, it is difficult to distinguish whether there is a change in L or n, or both. The variation rates of L and n with a change in T were the TOC and TEC, respectively. Therefore, there was a cross-sensitivity between TOC and TEC in the polymer-based interferometer. The proposed DCFFPI, which cascades a polymer and an air cavity, can solve the above problem. The expansion of the polymer cavity is equal to the compression of the air cavity with the increase in T. By analyzing the individual optical spectra of the polymer and air cavities, the parameters of TOC and TEC can be determined at the same time. The simultaneous measurement of TOC and TEC with small measured deviations of 6 × 10-6 (°C-1) and 3.67 × 10-5 (°C-1) for the polymer NOA61 and 7 × 10-6 (°C-1) and 1.46 × 10-4 (°C-1) for the NOA65 can be achieved. Experimental results regarding the measured accuracy for the class of adhesive-based polymer are presented to demonstrate the feasibility and verify the usefulness of the proposed DCFFPI.

Keywords: dual-cavity fiber Fabry–Pérot interferometer (DCFFPI); polymer; thermal expansion coefficient (TEC); thermo-optic coefficient (TOC).