Consider a parabolic index medium characterized the following refractive index variation: ...

Consider a parabolic index medium characterized the following refractive index variation:

Assume n1 = 1.50, n2 = 1.48, = 50 μm. Calculate the value of Δ.

(a) Assume rays launched on the axis at z = 0 (i.e., x = 0 when z = 0) with

   = 1.495, 1.490, 1.485, 1.480, 1.475 and 1.470

In each case calculate the angle that the ray initially makes with the z-axis (θ1) and plot the ray paths. In each case find the height at which the ray becomes horizontal.

(b) Assume rays incident normally on the plane z = 0 at x = 0, ±10 μm, ±20 μm, ±30 μm, ±40 μm. Find the corresponding values of , calculate the focal length for each ray and qualitatively plot the ray paths.