Lecture 1

Lecture 1 - ECE135 NadirDagli SantaBarbara,CA93106...

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ECE 135 Optical Fiber Communications Nadir Dagli Electrical and Computer Engineering Department University of California nta Barbara, CA 93106 Santa Barbara, CA 93106 [email protected]
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Electrical input (data) V in A Digital Optical Link Unmodulated optical waveform Modulated optical waveform 10100010 Optical modulator Time Optical mplifier Laser Optical fiber Time V out amplifier A R f I ime Clock recovery and decision circuitry Receiver Electrical output (data) Time y
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Desirable properties of fiber • Low attenuation • Large bandwidth available • Small size and weight • Low cost c f λ = 8 31 0 m / s c 8 14 / s 00 10 1/s (Hz) = 200 THz × × 1 6 2.00 10 1.5 10 m f == × 8 14 / s 2.31 10 1/s (Hz) = 231 THz f × × 2 6 1. 0 m × 21 31 THz ff f Δ= = Huge bandwidth!
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Maxwell’s Equations ) t G Faraday’s law of induction 0 ( ,, , (, ,,) xy z t xyzt t μ ∇× =− G H E G GG G 0 x yzt d l xyzt dS t •= ∫∫ v EH G E Electric field intensity (Volt/meter) (V/m) G , ,,) yzt agnetic field intensity (Ampere/meter) /m) H Magnetic field intensity (Ampere/meter) (A/m) Magnetic permeability of vacuum 7 0 41 0 μπ ± (Henry/meter) (H/m)
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) t G Ampere’s current law ( ,, , (, ,,) xy z t xyzt t ε ∇× = G E H G GG G xyzt d l x yzt dS t =• ∫∫ v HE ielectric permittivity arad/meter) (F/m) Dielectric permittivity ± (Farad/meter) (F/m) 0 r εε = r Relative dielectric constant 12 0 8.85 10 F/m Dielectric permittivity of vacuum r n ε= Index of refraction For SiO 2 at 1.5 μ m n = 1.45
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Gauss’ law (, ,,) 0 xyzt = G i E (, ,,) 0 xyzt dS = ∫∫ G G i w E Statement of the fact that there are NO magnetic charges x yzt = G i H ) 0 yzt dS G G ( ,, , )0 = i w H
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Constitutive relations G G olarization E + - P Polarization + G GG 0 ε =+ EP ± 0 e εχ = E Electric susceptibility 0 (1 ) e G G r Relative dielectric constant 0 r εε == G E± E 12 0 8.85 10 Farads/meter (F/m)
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agnetic susceptibility Magnetic susceptibility agnetic permeabilit 0 (1 ) m μχ =+ GG r μ Magnetic permeability G G 0 r μμ == H± H 7 1 0 × enry/meter (H/m) 0 41 μπ ± Henry/meter (H/m) G G E σ = J± E± Conductivity (1/(Ohms-m)) (1/( Ω -m)
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Boundary conditions Air H G G Cladding 1 10 , εμ 11 , EH Core
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This note was uploaded on 01/28/2012 for the course ECE 135 taught by Professor Dagli during the Spring '08 term at UCSB.

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Lecture 1 - ECE135 NadirDagli SantaBarbara,CA93106...

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