High in the fiber [3]. The pulse propagation is

 

High speed
communications and computations are the main industrial and academic demands.
Optical method is one of amusing alternatives for doing this purpose 1.Fiber Optic
communication provides higher frequency transmission of signals with greater
bit rate and larger data carrying capacity over a long distance. This means of
data transmission is with a lower loss and interference if compared to the
normal copper wire used in the electrical telecommunication systems. Optical
fiber is extensively used in the application of internet communication technology
in developing countries widely due to its feasibility to transmit data over a longer distance 2.In spite of
all these benefits this high speed optical fiber
transmission system face an interruption in the form of GVD that limits the rates
in optical transmission systems kanis 1-2. On the other hand, for long
distance data transmission in optical fiber, nonlinear effects are introduced in
the optical fiber that in turn limits the system performance 3kanis. SPM is
one of the relevant nonlinear effects that dominate the system performance
significantly kanis4-5. SPM effects observed when the Kerr non-linearity are
the result of the pulses own intensity. The GVD which
limits the rates in optical transmission systems are responsible for changes in
pulse shape while SPM are responsible for changes of pulse spectrum. The combination of linear and nonlinear effects leads to both the temporal and
spectral changes of the pulse 4-5.

The
pulse degradation in the fiber limits the maximum transmission distance and the
transmission rate of the fiber link; hence it is very important to analyze the
pulse evolution behavior of the propagating pulse in the fiber 3. The pulse
propagation is modeled using nonlinear Schrodinger equation (NLSE) 2. The chirp parameter, C have important role in pulse propagation.
When C>0 is referred to as up-chirp/positive chirp where the instantaneous
frequency increases linearly from the leading to the trailing edge On the other
hand, the frequency decreases linearly from the leading to the trailing edge
C< 0 and the same is termed as down-chirp/negative chirp 6.In anomalous dispersion regime ( ), the compression occurs for the up-chirped pulses, whereas the broadening takes place for the down-chirped pulses. The opposite situation happens for up- and down-chirped pulses propagating in the normal dispersion regime ) 4. In this research work is to investigate graphically the effect of Chirping with GVD, effect of SPM and the comparison of GVD alone and combining SPM with GVD in anomalous dispersion regime. The input pulse distribution is taken as a Gaussian pulse. In general, the non-linear Schrodinger Equation (NLSE) has been carried out by using a Split-step Fourier method (SSFM) for solving linear & non-linear effects. We implement code in MATLAB based on SSFM for Comparison of Gaussian optical pulses for different values of chirp parameter for anomalous dispersion and normal dispersion regime, how the Chirp parameter influences pulse broadening, Nonlinear effect (SPM) on different propagation distance where the extra frequencies generated through SPM broaden the frequency spectrum of the pulse result in SPM induced symmetrical spectral broadening 7. And finally the comparison of pulse evolution with GVD alone and combining SPM with GVD in anomalous and normal dispersion regime has been analyzed.

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