A graded index fiber has a parabolic refractive index profile (α=2) and core diameter of 42μm. Estimate an insertion loss due to a 2 μm lateral misalignment when there is index matching and assuming there is uniform illumination of all guided modes only.

Correct Answer: 0.080
The misalignment loss (assuming there is uniform illumination of all guided modes) is given by Lt = 0.85(y/a) Where y = lateral misalignment a = core radius.