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Question:

An initially parallel cylindrical beam travels in a medium of refractive index μ(I) = μ₀ + μ₂I, where μ₀ and μ₂ are positive constants and I is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. The initial shape of the wave front of the beam is?

Convex

Concave

Convex near the axis and concave near the periphery

Planar

Solution:

For a parallel cylindrical beam, wavefront will be planar.