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Photometry and Geometrical Optics

Problem 5.63

Find the curvature radius of a ray of light propagating in a horizontal direction close to the Earth's surface where the gradient of the refractive index in air is equal to approximately 3⋅10−8 m−1.3 \cdot 10^{-8} \mathrm{~m}^{-1} . At what value of that gradient would the ray of light propagate all the way round the Earth?

Reveal Answer
ρ=3⋅107 m;∣∇n∣=1.6⋅10−7 m−1\rho=3 \cdot 10^{7} \mathrm{~m} ;|\nabla n|=1.6 \cdot 10^{-7} \mathrm{~m}^{-1}
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