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Topic 3 Dielectric Waveguides and Optical Fibers 2-1 Symmetric ...

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Dispersion coefficient (ps km<br />

30<br />

-1 nm-1 )<br />

20<br />

10<br />

0<br />

-10<br />

-20<br />

-30<br />

1.1<br />

901 37500 ?1999 光電導論 S.O. Kasap, Optoelectronics (Prentice Hall)<br />

λ 0<br />

Dm<br />

Dm + Dw<br />

D w<br />

1.2 1.3 1.4 1.5 1.6<br />

λ (μm)<br />

Material dispersion coefficient (D m) for the core material (taken as<br />

SiO 2), waveguide dispersion coefficient (D w) (a = 4.2 μm) <strong>and</strong> the<br />

total or chromatic dispersion coefficient D ch (= D m + D w) as a<br />

function of free space wavelength, λ.<br />

901 37500 光電導論<br />

Chromatic Dispersion or Total Dispersion<br />

Chromatic Dispersion<br />

Chromatic Dispersion<br />

Coefficient<br />

Δτ<br />

= | D<br />

L<br />

m<br />

+ D | Δλ<br />

w<br />

D D D + =<br />

m<br />

Dispersion Shifted Fiber (DSF): to design the waveguide dispersion to<br />

shift the zero (material) dispersion from 1330 nm to 1550 nm<br />

by reducing the core radius <strong>and</strong> increasing the core doping<br />

Dispersion flattened Fiber: to use multiple clad fiber to control the<br />

total chromatic dispersion that is flattened between two wavelength<br />

DFF<br />

w<br />

45<br />

47<br />

Waveguide Dispersion<br />

Waveguide Dispersion<br />

Coefficient<br />

901 37500 光電導論<br />

20<br />

10<br />

-10<br />

-20<br />

-30<br />

Waveguide Dispersion<br />

Δτ<br />

=<br />

L<br />

D<br />

w<br />

Dw<br />

901 37500 光電導論<br />

?1999 S O K Ot l t i (P ti H ll)<br />

Δλ<br />

1.<br />

984N<br />

≈ − 2<br />

( 2πa)<br />

2cn<br />

Dispersion coefficient (ps km -1 nm -1 )<br />

30<br />

0<br />

λ 1<br />

D w<br />

D m<br />

λ 2<br />

1.1 1.2 1.3 1.4 1.5 1.6 1.7<br />

λ (μm)<br />

g 2<br />

2<br />

2<br />

D ch = D m + D w<br />

n<br />

r<br />

46<br />

Thin layer of cladding<br />

with a depressed index<br />

Dispersion flattened fiber example. The material dispersion coefficient (Dm) for the<br />

core material <strong>and</strong> waveguide dispersion coefficient (Dw) for the doubly clad fiber<br />

result in a flattened small chromatic dispersion between λ1 <strong>and</strong> λ2. 48

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