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Obtain the equation for radius of illumination (or) Snell’s window.

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The radius of Snell’s window can be deduced with the illustration as shown in figure. Light is seen from a point A at a depth d. The Snell’s law in product form, equation n2sin i = n2sin r for the refraction happening at the point B on the boundary between the two media is

n sin i = n sin 90° ……. (1)

n sin i = n ∵ sin 90° = 1

sin i = …….. (2)

From the right angle triangle ∆ABC,

Equating the above two equation (3) and equation (2).

If the rarer medium outside is air, then, n2 = 1, and we can take n1 = n

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