Figure shows a curved surface separating a material with index of refraction from a material with in

Figure shows a curved surface separating a material with index of refraction from a material with index The surface forms an image of object The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to Snell's law, For paraxial rays, we assume and are small, so we may write The magnification is defined as Prove that the magnification is given by