We demonstrate wavelength insensitive fused fiber couplers, obtained by multiple arc discharge around the coupler waist of two similar 2×2 SM fiber couplers in the temperature profile region. Placing the Coupler waist away from the arc flame produces the control temperature profile and hence phase mismatch between the fibers. Theoretically, the propagation constants are found out considering effective core diameters, core dopant diffusion, and coupling coefficient around the coupler waist. Variation of refractive index around the coupler waist with the number of arc discharge, and also depending on the position of the coupler waist from the centre of the arc flame, is shown. This helps to control wavelength insensitive characteristics of the component. A theoretical model for splitting ratio (SR) versus wavelength with repeated discharges producing increased phase mismatch and considering temperature profile parameters is developed. The theoretical curves are compared with the experimental results. For the particular fused coupler the wavelength insensitive ranging from 1.35μgm to 1.70μgm with maximum SR variation of 1.32dB at repeated discharge of D = 4, were obtained.