Ch8Sec1 - THE FIBER FORUM Fiber Optic Communications...

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Dr. Joseph C. Palais 8.1 1 THE FIBER FORUM Fiber Optic Communications PRESENTED BY Dr. JOSEPH C. PALAIS
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Dr. Joseph C. Palais 8.1 2 Chapter 8 Couplers and Connectors
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Dr. Joseph C. Palais 8.1 3 Section 8.1 Connector Principles
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Dr. Joseph C. Palais 8.1 4 2a 2a d d Core Core Four major loss mechanisms are: 1) Lateral Misalignment
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Dr. Joseph C. Palais 8.1 5 2) Angular Misalignment 2) Angular Misalignment θ θ 3) 3) Non-Contacting Ends Non-Contacting Ends x
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Dr. Joseph C. Palais 8.1 6 4) Rough Ends
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Dr. Joseph C. Palais 8.1 7 Connector P in P out η = = Coupling Efficiency L = - 10 Log η (dB) (dB) out in P η= P
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Dr. Joseph C. Palais 8.1 8 - - = - - 2 1 1 2 d d d η cos 1 π 2a 2a 2a d cos 2a is in radians (8-1) 8.1.1 Lateral Misalignment The lateral misalignment loss for a multimode step-index (SI) fiber is given by:
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Dr. Joseph C. Palais 8.1 9 Assume the fiber end illumination distribution is uniform. The coupling efficiency is equal to the fractional overlap of the transmitting and receiving fiber cores, as illustrated on the next slide. Derivation Lateral Misalignment
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Dr. Joseph C. Palais 8.1 10 0 y a d/2 d A = Overlap Area θ m θ x r
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Dr. Joseph C. Palais 8.1 11 0 2 4 m a d r COS A rdrd θ θ θ = = �� Radius = r Area element = rdrd θ dr d rd θ θ θ Lateral Misalignment
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Dr. Joseph C. Palais 8.1 12 θ r 0 d/2 θ = d cos 2r θ = d r 2cos Determining m θ θ a d/2 m = m d/2 cosθ a - = 1 m d θ cos 2a Lateral Misalignment
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Dr. Joseph C. Palais 8.1 13 Now, ( 29 2 - - = = - = - = = - - = - ° ° ° ° m m m m m 2 a d 2cos 0 2 2 0 2 2 2 0 2 2 2 1 2 2 2 1 r A 4 d 2 d 2 a d 2cos d d 2 a 4 cos d tan cos d d A 2 a cos tan 2a 4 a d/2 d d A 2 a cos 2a 4 d/2 θ θ θ θ θ θ θ θ θ θ θ θ θ θ Lateral Misalignment
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Dr. Joseph C. Palais 8.1 14 The functional overlap is : - = � � � � = - -
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