A few mode optical fiber comprising: a core, wherein the core is defined by a region around a central longitudinal axis of the few mode optical fiber, wherein the core has a super gaussian refractive index profile with curve parameter gamma, said core comprising: a first annular region, wherein the first annular region lies between the central longitudinal axis of the few mode optical fiber and a first radius r1, wherein the first annular region has a first relative refractive index Δ1, wherein the first radius r1 is in range of 14 μm to 16 μm and the first relative refractive index Δ1 is in range of 0.50 to 0.70, wherein the first annular region has a super gaussian profile Δ r = Δ ∗ exp − r / a γ where r is radial position from center of the few mode optical fiber; a is a rescale factor; γ is a positive number; and Δ is maximum relative refractive index of the first annular region; wherein curve parameter gamma is in the range of 4 to 8 and rescale factor (a) is in range of 6.6 μm to 7.2 μm; a second annular region, wherein the second annular region concentrically surrounds the first annular region, wherein the second annular region lies in between the first radius r1 and a second radius r2, wherein the second annular region has a second relative refractive Δ2, wherein the second radius r2 is in a range of 17 μm to 22 μm and the second relative refractive index Δ2 is in range of -0.01 to 0.01; a third annular region, wherein the third annular region concentrically surrounds the second annular region, wherein the third annular region lies between the second radius r2 and a third radius r3, wherein the third annular region has a third relative refractive index Δ3, wherein the third radius r 3 is in the range of 24 μm to 30 μm, wherein the third relative refractive index Δ 3 is in range of -0.27 to -0.32; a cladding, wherein the cladding concentrically surrounds the third annular region, wherein the cladding lies between the third radius r 3 and a fourth radius r4, wherein the cladding has a fourth relative refractive index Δ 4, wherein the fourth radius r4 is in range of 62.2 μm to 62.8 μm and the fourth relative refractive index Δ4 is zero, wherein relative refractive index and the parameters are optimized to achieve and low differential group delay between LP01 guided mode and LP11 guided mode. a first annular region, wherein the first annular region lies between the central longitudinal axis of the few mode optical fiber and a first radius r1, wherein the first annular region has a first relative refractive index Δ1, wherein the first radius r1 is in range of 14 μm to 16 μm and the first relative refractive index Δ1 is in range of 0.50 to 0.70, wherein the first annular region has a super gaussian profile Δ r = Δ ∗ exp − r / a γ where r is radial position from center of the few mode optical fiber; a is a rescale factor; γ is a positive number; and Δ is maximum relative refractive index of the first annular region; wherein curve parameter gamma is in the range of 4 to 8 and rescale factor (a) is in range of 6.6 μm to 7.2 μm; a second annular region, wherein the second annular region concentrically surrounds the first annular region, wherein the second annular region lies in between the first radius r1 and a second radius r2, wherein the second annular region has a second relative refractive Δ2, wherein the second radius r2 is in a range of 17 μm to 22 μm and the second relative refractive index Δ2 is in range of -0.01 to 0.01; a third annular region, wherein the third annular region concentrically surrounds the second annular region, wherein the third annular region lies between the second radius r2 and a third radius r3, wherein the third annular region has a third relative refractive index Δ3, wherein the third radius r 3 is in the range of 24 μm to 30 μm, wherein the third relative refractive index Δ 3 is in range of -0.27 to -0.32; a cladding, wherein the cladding concentrically surrounds the third annular region, wherein the cladding lies between the third radius r 3 and a fourth radius r4, wherein the cladding has a fourth relative refractive index Δ 4, wherein the fourth radius r4 is in range of 62.2 μm to 62.8 μm and the fourth relative refractive index Δ4 is zero, wherein relative refractive index and the parameters are optimized to achieve and low differential group delay between LP01 guided mode and LP11 guided mode.