Reflection and Refraction of Light26322.59Applying Snell’s law at the first surface in the figure at the right gives the angle of incidence as (11212sinsinsinsinairnnnθ)−−==((1) Since the sum of the interior angles of a triangle equals 180°, observe that ) ( )29090φθ+°−+°−233180=°, which reduces to φ=−(. Thus, equation (1) becomes ) ( )13sinsinsinsinn3cossin3ncos=1−At the smallest allowed value for , 3is equal to the critical angle at the second surface, or 31sinsinaircnθθ=. Then, 22332sin1ncos1−=− =, and ()2inn2sin1 sincos1sinscosφφ=−−−Note that when
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