[en] Gold-coated tilted fiber Bragg gratings (Au-TFBGs) can detect surrounding refractive index (SRI) changes by surface plasmon resonance (SPR) shift following a similar principle found in commercial devices, based on the Kretschmann prism. While the Au- TFBG is functionalized with appropriate bioreceptors, it can detect molecular events and act as a biosensor. In this paper, we show that the use of the Jones formalism combined with fictive polarizer emulation can improve the detection process. We experiment our method for the detection of insulin at a concentration ranging from 0.1 to 100 ng/mL.