Ch2Sec1BW

# Ch2Sec1BW - θ r = θ i Joseph C Palais 2.1 7 REFLECTION If...

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THE FIBER FORUM Fiber Optic Communications JOSEPH C. PALAIS PRESENTED BY

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Joseph C. Palais 2.1 2 Chapter 2 OPTICS REVIEW
Joseph C. Palais 2.1 3 Section 2.1 Ray Theory and Applications Index of Refraction n = c/v c = 3 x 10 8 m/s, velocity of light in free space v = velocity of light in the medium n > 1, (usually)

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Joseph C. Palais 2.1 4 Ray Theory and Applications Material Index n CO 2 1 Water 1.33 Glass ~1.5 Silicon 3.5 GaAs 3.35
Joseph C. Palais 2.1 5 REFLECTION Reflection at a Boundary Boundary Normal n 1 n 2 θ r θ i Boundary θ t Incident Ray Reflected Ray Transmitted Ray

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Joseph C. Palais 2.1 6 REFLECTION n 1 and n 2 are the indices of refraction for medium 1 and 2 respectfully. θ i is the angle of incidence to the normal. θ r is the angle of reflection relative to the normal. θ t is the angle of transmission relative to the normal. It should be noted that

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Unformatted text preview: θ r = θ i . Joseph C. Palais 2.1 7 REFLECTION If any power crosses the boundary, θ t is given in terms of Snell’s law: sin 1 sin 2 1 sin sin 2 n t n i n t i n θ = = (2.3) Joseph C. Palais 2.1 8 REFLECTION The only angles with physical significance are those between of 0º and 90º SINE FUNCTION ANGLE θ Sin θ Joseph C. Palais 2.1 9 From Snell’s law: If n 1 < n 2 , then sin( θ t ) < sin( θ i ) and θ t < θ i . We conclude that transmitted ray is bent towards the normal. REFLECTION θ t θ i n 1 n 2 Boundary Normal Joseph C. Palais 2.1 10 REFLECTION If n 1 > n 2 , then sin( θ t ) > sin( θ i ) and θ t > θ i . The transmitted ray is bent away from the normal. θ t θ i n 1 n 2 Boundary Normal...
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Ch2Sec1BW - θ r = θ i Joseph C Palais 2.1 7 REFLECTION If...

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