# Dispersion in an Optical Fiber

## Module 2b

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### Integrate the Modules with your in-house and Commercial Software & Hardware Products

(1) Use the Existing Modules / Components for Your Research & Development.
(2) Modify the Modules / Components to the Next Level for Your Research & Development.
(3) Integrate Different Modules / Components in the OCSim Package to Realize Your Own Fiber Optic Communication Systems.
(4) Modify the Modules for Co-Simulations with the Third Party Commercial Optical Communication Systems Softwares.

#### fiber_dispersion.m

The signal propagation in a fiber is simulated. Fiber nonlinear effects are ignored. The Fourier transform of the input signal field is taken to obtain the input spectrum. It is multiplied by the fiber transfer function and then the inverse Fourier transform leads to the output pulse.

Explore Further this Module:

2b.1 Let   = 0  s.s/m,    = (1.5 e-6)/3 e8 s/m and  = 0 m-1 . Plot fiber input and output field envelopes and electric field distributions. Is the pulse width at the fiber output different from that at the input? Explain.

2b.2 Let    = -21 ps.ps/km,    = 0 s/m and  = 0 m-1. Does the pulse undergo a time-shift? Explain.

2b.3 Let     = -21 ps.ps/km,   = (1.5 e-6)/3 e8 s/m and  = 0 m-1Plot fiber input and output field envelopes and electric field distributions.

2b.4 Repeat 2b.3 with loss coefficient   = 0.2 dB/km. Does the fiber loss affect the pulse broadening? Compare the pulse widths and peak amplitudes corresponding to 2b.3 and 2b.4.

2b.5 Repeat 2b.2 to 2b.4 with a rectangular pulse.

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