In this paper, we have proposed three types of taper structures called L.C.C (L : linear, C : concave and C : convex) that form at the end of the optical fibers in order to use them for detection in order to improve the formation of evanescence waves on the surface of the fiber We studied on these three types of structure four materials such as: silicon (Si), glass (SiO2), sapphire (Al2O3) and zircon (ZrSiO4) with refractive index 1.45, 1.52, 1.77 and 1.92, respectively. First, the three structures are designed in a taper shape with a length "L" fixed at 50m and a diameter "D" equal to 10m. Then, they shrink to 1m in diameter 'from the end of their structures. We used an optical DC source with a power amplitude of 1V/m. We also simulated these "L.C.C" structures with the OptiFDTD simulation software, which is based on the finite difference time domain (FDTD) method. Our numerical results are obtained to extract the electric field (TE) distribution of the evanescent wave (EW) and the leakage wave (LW) from the left end of the tip for the proposed taper structures. Finally, we presented the transmission. The obtained results showed that the geometrical shape and the type of material play a crucial role for the detection of tapered fiber sensors.