Fiber Bragg Grating (FBG) sensors, a specialized application of optical fiber technology, have become increasingly popular in aerospace and other demanding fields due to their advantages over traditional electronic sensors. Optical fibers offer immunity to electromagnetic interference, durability under extreme conditions, passive operation, high sensitivity, and multiplexing capabilities. These features make FBG sensors ideal for advanced measurement systems that rely on numerous accurate data points for effective monitoring, diagnostics, and prognostics. A key challenge, however, lies in ensuring the accuracy of measurements, which can be influenced by how sensors are bonded to the components being monitored. This thesis aims to address this issue through the development of a mathematical model for FBG sensor bonding.