Dynamically Stable Super Gaussian Solitons in Semiconductor Doped Glass Fibers

Abstract

In this paper we have investigated the propagation properties of chirped super Gaussian soliton pulses through semiconductor doped glass fibers which is a dispersive medium with cubic quintic nonlinearity. Using variational principle, the evolution equations of the soliton parameters such as amplitude, temporal width, position of centre, chirp etc. have been derived. The dynamics of these parameters have been analysed. Employing linear stability analysis we have shown that super Gaussian solitons are stable in semiconductor doped glass fibers.

A Designed Model About Amplification and Compression of Picosecond Pulse Using Cascaded Soa and Nolm Device

“…Under neglecting the loss of the coupler, isolator, wave division multiplexed and NOLM, the propagation equations of the signal and control pulse in an NOLM can be described by [22][23][24][25][26] …”

Temporal Solitons of Modified Complex Ginzberg Landau Equation

“…Investigations on nonlinear wave equations have been a fascinating topic both for mathematicians and physicists because of their numerous application potential in diverse areas [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][29][30][31][32][33]. In particular, the nonlinear Schrödinger equation (NLSE) and the complex Ginzburg Landau equation (CGLE) and their modified versions have drawn tremendous attention during last three decades [2][3][4][5][6][7][8].…”

“…In particular, the nonlinear Schrödinger equation (NLSE) and the complex Ginzburg Landau equation (CGLE) and their modified versions have drawn tremendous attention during last three decades [2][3][4][5][6][7][8]. These equations describe a variety of physical phenomena in plasmas, optical waveguides and fibers, Bose Einstein condensation, phase transitions, bimolecule dynamics, open flow motions, spatially extended nonequilibrium systems etc [1].…”

“…Large volume of analytical investigations have been carried out to find the soliton solutions of these equations which are localized waves that show particle like behaviour i.e., their forms are preserved in space or in time or both in space and time resulting in respectively spatial, temporal or spatiotemporal solitons. Finding soliton solutions of nonlinear wave equations representing various physical phenomena have been the major thrust of theoretical research [2][3][4][5][6][7][8][9][10]. Nonlinear equations representing Hamiltonian systems are not always integrable.…”

Generation of High Repetition Rate Picosecond Pulse Train Based on Ultra-Small Silicon Waveguide

“…Since the Raman response time is ∼ 3 ps in ultra-small silicon WG, for pulse much longer than 3 ps, the raman response can be treated as being instantaneous. The nonlinear propagation equation is similar to the standard equation used to describe pulse dynamic in optical fiber [10,11], but will include additional terms describing the effects of TPA, and FCA. So the signal and modulation beam will satisfy the following coupled propagation equations [12]:…”