Chirp-dispersion management inducing regeneration of truncated Airy pulses in fiber optics links

Abstract

In this paper, we introduce another technique of Airy pulse regeneration in fiber links using the interaction between group velocity dispersion (GVD) and the initial value of frequency chirp. This technique of regeneration consists of managing the product of G V D × c h i r p over each piece f i = 1 … N of fiber line having N pieces in the case of zero-third-order dispersion (TOD) systems. This work follows [Phys. Rev. A 89, 043817 (2014)PLRAAN1050-294710.1103/PhysRevA.89.043817], which studied the nonzero-TOD system. Three models are considered: the first consists of alternation of the GVD with the chirp being constant, the second consists of alternation of the chirp with a constant GVD, and the third consists of the alternation of both parameters. Through the numerical results obtained in the linear optical system, we show that the first model with an initial condition corresponding to the asymmetric inversion (A.I.) mechanism, G V D × c h i r p &lt;<!-- 0 , is the best at yielding interesting regeneration for both a single finite energy Airy pulse (FEAP) and for the symmetric FEAPs previously defined in [Opt. Commun. 399, 16 (2017)OPCOB80030-401810.1016/j.optcom.2017.04.064]. There is a need to achieve the A.I. mechanism on each piece of fiber through the condition s × C ′ &lt;<!-- 0 , where the GVD sign s alternates and C ′ is the intrinsic chirp developed by the pulse itself within the current piece f i before its injection into the next piece f i + 1 . The main parameter that is beneficial for this kind of chirp-dispersion management (CDM) regeneration of FEAPs in fiber links is found to be the initial chirp whose dimensionless optimal absolute value is | C | ∈ [ 1 ; 3 ] in order to combine the quality and good intensity. In contrast, the temporal gap τ B and nonlinearity have a deleterious impact on regeneration. Moreover, the noise in the regeneration originates from the alternation of the chirp, the simultaneous alternation of both the GVD and the chirp, the drastic increase in chirp, and nonlinearity.

Selectable output of solitons and self-accelerating pulses via spectral phase modulation and filtering of Airyprime pulses

“…The pulse nonlinear propagation can be described by the normalized nonlinear Schrödinger equation (NLSE) [14] :…”

Truncated Airy pulses supercontinuum generation in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

“…The truncation coefficient or decay factor 𝑎 (0 < 𝑎 < 1) is a quantity to ensure containment of the infinite Airy tail and can thus enable the physical realization of such pulses [36]. In practice, an Airy pulse can be produced by adding a cubic phase to a Gaussian spectrum [7,35,36]. The truncation coefficient is taken as 𝑎 = 0.05.…”

Supercontinuum generation of truncated Airy pulses in a cubic-quintic AsSe2/As2S5 optical waveguide with rib-like structure

“…The input profile is given by U(z, t) = (P 0 ) 1/2 Ai(t/t 0 )exp(at/t 0 ) [2] where Ai(t/t 0 ) and a are the Airy function and the truncation coefficient, respectively. The truncation coefficient or decay factor a (0 < a < 1) is a quantity that ensures containment of the infinite Airy tail and which can thus enable the physical realization of such pulses [2,[22][23][24][25][26][27][28][29][30][31][37][38][39][40][41][42]. In practice, an Airy pulse can be produced by adding a cubic phase to a Gaussian spectrum [1,25].…”

“…One should remember that Airy pulses were first predicted by Berry and Balazs within the context of quantum mechanics [22] and their first introduction into nonlinear optics followed in 2007, authored by Siviloglou and Christodoulides [23]. The Airy waves have special properties that have been already studied, leading to several applications [1,2,[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Regarding the TPA and the 3PA processes, interest in these processes originates from the relevance of nonlinear photon absorption (NPA) in high-power laser technology as well as its role in many fundamental aspects of solid-state physics.…”