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Transcript
Theory: When light passes from one transparent medium to another, it bends according to Snell's law which states: Ni * Sin(Ai) = Nr * Sin(Ar), where: Ni is the refractive index of the medium the light is leaving, Ai is the incident angle between the light ray and the normal to the meduim to medium interface, Nr is the refractive index of the medium the light is entering, Ar is the refractive angle between the light ray and the normal to the meduim to medium interface. So, here at the critical angle, Ar becomes 90 degrees, and Ai is theta Ni = 1.543 Nr=1.508 Sin(theta) = 1.508 / 1.543 =.977 Here angle is in radians. You have to take Sin inverse. Criticale angle Theta = 1.49 radians To convert to degrees, please use, 180 degrees = pi In the case of air and core, see the picture attached. With simple geometry, you can see, reflective angle to the core= 90-theta Therefore, 1 x Sin(alpha) = 1.543 x Sin(90-theta) =1.543 x cos(theta) =1.543 x Cos(1.49 rad) =1.543 x 0.081 = 0.125 alpha = Sin inverse .125 =0.125 radians