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## Homework Statement

Suppose a ray of light travels from (x,y) = (-1,1) to (x,y) = (1,1) in a region where the index of refraction is n(y) = e^y.

(a) Find the path.

## Homework Equations

## The Attempt at a Solution

Is this okay?

The positions of the light ray are given by

initial (xi,yi) = (-1,1)

Final (xf,yf) = (+1,1)

Clearly the Y coordinate is invaiant

So

the refractive index of the region

n(y) = e^y

n(1) = e = 2.718

As the light ray travells, the index of refraction is invariant, so the ray will travell in straight line path from (xi,yi) to (xf,yf).