According to Fresnel formula the angles  1of the incident wave,  2 of the reflected wave and  3 of the refracted wave are given by the equation : 

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Presentation transcript:

According to Fresnel formula the angles  1of the incident wave,  2 of the reflected wave and  3 of the refracted wave are given by the equation :  1 =  2 n1sin  1 = n2sin  3 The intensity reflection coefficients R|| and R^ and transmission coefficients T|| and T^ (for the parallel and perpendicular polarization consequently) are described by the equations: For the ray incident normally to the border there is no difference between the parallel and perpendicular components.

The dependencies for the reflection coefficients R  TIR = arcsin(n2/n1), n1 > n2 We can see from these figures that for the light incident from the glass into the air there is an angle when the Total Internal Reflection (TIR) is observed. This means that any ray propagating in a glass at angles bigger than a critical angle (about 42 � for glass-air interface) will be totally reflected and will not pass into the air. This effect is used for transmission of the light signals by the glass fiber over the large distance without a considerable attenuation.

We can see in the figure that for the light propagating from the air into the glass there is an angle at which the light with parallel polarization will not reflect, while the intensity of the perpendicularly polarized light is not zero. This angle is called Brewster's angle (56 � 40' for glass-air interface)..  BR = arctg(n2/n1), n1 < n2