In this paper, the performance of various apodization profiles (uniform, hyperbolic tangent and gaussian) for un-chirped Fiber Bragg Grating is investigated. Apodization techniques are used to get optimized reflection spectra with high side lobe suppression. The simulations are done by solving coupled mode equations in MATLAB using transfer matrix method which explains the relationship between the guided modes. The result shows that Gaussian profile suppresses side lobe level much more efficiently than uniform and hyperbolic tangent profiles. Gaussian apodized Fiber Bragg Grating is used to indicate strain by producing wavelength shift. MATLAB and Opti-grating result gives an idea about the efficiency of the suggested scheme to analyze strain measurements by giving a linear response.