“…Thus, a new formula is proposed in this work based on the linear thermal expansion coefficient of optical fiber, and is given by: where C is the linear thermal expansion coefficient of silica, T is the measurement temperature, T 0 is the initial temperature, and l is the initial length of the micro-cavity. Research results of our team and others have confirmed that, at various temperatures, the length change of the micro-cavity can be computed based on l ∙ [1 + C ∙ ( T − T 0 )]; thus, the effects resulting from the temperature change can be eliminated [ 25 , 26 , 35 , 36 ]. Therefore, the RI can be measured accurately using Equation (5) at different ambient temperatures.…”