Parallel slabs? I think not!

A laser beam propagates through a region whose refractive index varies as μ=μ0(rr0)\mu = \mu_0 (\frac{r}{r_0}). At a distance of R the beam makes an angle of 30 degrees with the normal.

Find the minimum separation between the beam and the center of this region(the point where r=0r=0) in cm.

Assume μ0=1\mu_0= 1, r0=3cmr_0= 3 \text{cm}, R=82 cmR= 8\sqrt2\text{ cm} .

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