Lecture5-228a

Lecture5-228a - Lecture 5 - Propagation in Optical Fibers...

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ECE 228A Fall 2011 Daniel J. Blumenthal 5.1 Lecture 5 - Propagation in Optical Fibers and Dispersion
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ECE 228A Fall 2011 Daniel J. Blumenthal 5.2 Boundary Conditions Decaying felds ±or r>a q>0 For felds in the core r<a, we need fnite felds (which eliminates Y and K which go to infnity as r approaches 0. c k k n k q / 0 2 0 2 2 2 2 2 2 ω β = = =
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ECE 228A Fall 2011 Daniel J. Blumenthal 5.3 Boundary Conditions In order for the mode to be supported, it must be a standing wave pattern along r inside the core and a decaying exponential along r inside the cladding, with the boundary conditions supported at the step interface. β is therefore bounded by n 1 k 0 ≤ β ≤ n 2 k 0
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ECE 228A Fall 2011 Daniel J. Blumenthal 5.4 TE l=0 Modes
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ECE 228A Fall 2011 Daniel J. Blumenthal 5.5 l=1 (not TE or TM, but EH)
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ECE 228A Fall 2011 Daniel J. Blumenthal 5.6
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ECE 228A Fall 2011 Daniel J. Blumenthal 5.7 V parameter
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ECE 228A Fall 2011 Daniel J. Blumenthal 5.8 For n1-n2<<n1, LP approximation is valid.
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This note was uploaded on 11/24/2011 for the course ECE 228a taught by Professor Bowers,j during the Fall '08 term at UCSB.

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Lecture5-228a - Lecture 5 - Propagation in Optical Fibers...

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