Assume earth's atmosphere is essentially flat, with index of refraction (n=1) at the top and (n=n(y)) below,
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Assume earth's atmosphere is essentially flat, with index of refraction \(n=1\) at the top and \(n=n(y)\) below, with \(y\) measured from the top, and the positive \(y\) direction downward. Suppose also that \(n^{2}(y)=1+\alpha y\), where \(\alpha\) is a positive constant. Find the light-ray trajectory \(x(y)\) in this case.
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