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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.

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.

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