A Principal Investigation of the Group Velocity Dispersion (Gvd) Profile for Optimum Dispersion Compensation in Optical Fibers: A Theoretical Study

Abstract

Abstract-In this paper, an analytical method for management of optimum group velocity dispersion (GVD) for compensation of chromatic dispersion in optical fibers is proposed. The proposed method mathematically is based on the Volterra series as alternative method for solution of the nonlinear Schrödinger equation (NLS). Based on analytical solution of the nonlinear equation in pulse propagation, we propose a differential equation including optimum GVD for complete dispersion compensation for given dispersion coefficient and fiber length. The obtained integro-differential equation is solved for special cases and it is shown that the obtained results are so better than traditional dispersion compensation cases. Also, the proposed technique can be applied to fiber design to introduce an especial GVD profile for dispersion less transmission.

Influence of the Frequency-chirp Gaussian Pulse on the Pulse Broadening in the Dispersive Fibers

“…To confirm that, the broadening of the Gaussian pulse with duration T 0 = 100 ps and different value of the chirp parameter, which propagates through the in different dispersvie fiber with length z = 100 km and dispersive parameter β 2 = −50, −20, 20, 50 ps 2 / km [3] are simulated and illustrated in Fig. 1.…”

“…Up to now, the dispersive questions are interested in many works [2,3], but till not paied attentions on the influence of the pulse with the frequency-chirp on the propagating distance in the fibers.…”

“…It is fact that the signal optical pulse propagating in the dispersive fiber is always affected by the nonlinear effects as disspersion, self-phase modulation and cross-phase modulation,... [1][2][3][4][5], which broadens (or narrowes) the pulse, expecially, the pulse with frequency-chirp and consequently, reduces the bit rate.…”

Analytical Investigation and Evaluation of Pulse Broadening Factor Propagating Through Nonlinear Optical Fibers (Traditional and Optimum Dispersion Compensated Fibers)

“…It has been considered that the system may have axially nonuniform parameters and the fiber dispersion is not necessarily weak, hence the resulting formula is able to operate in a wide range of applications with satisfactory accuracy. Recently dispersion and nonlinear effects in optical fibers have been studied extensively [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Although different aspects of fibers have been considered but a low concentration on designing of the fiber using analytical formulation has been done.…”

A Novel Design Methodology of Multi-Clad Single Mode Optical Fiber for Broadband Optical Networks

“…Also, different aspects of modal analysis, pulse propagation through nonlinear fiber and design of dispersion compensation in different structures were done [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46].…”