Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry
نویسندگان
چکیده
The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it followed through improved Kudryashov and generalized Arnous schemes. parameter constraints are also identified for existence such solitons. Numerical surface plots support adopted applied
منابع مشابه
Interaction of Bragg solitons in fiber gratings
We investigate numerically the interaction between two copropagating Bragg solitons in a fiber grating. We find that, in the low-intensity limit, the interaction is reminiscent of the nonlinear Schrödinger solitons in that Bragg solitons attract or repel each other, depending on their relative phases. However, the relative phase between two Bragg solitons is found to depend on their initial sep...
متن کاملNonlinear Fiber Bragg Gratings
In this paper we review some of the dominant topics in fiber Bragg gratings (FBGs). The combination of theory and simulations shows that these structures can use in filters, nonlinear fiber optical applications, soliton propagations etc. We discussed the theory of FBGs, grating solitons, Bragg soliton generation in intrinsic media and birefringence effects in FBGs together with some numerical s...
متن کاملPulse Switching in Nonlinear Fiber Bragg Gratings
The influence of the Kerr-like nonlinearity in the switching characteristics of fiber Bragg gratings is studied. Two types of apodization profiles are considered: uniform and raisedcosine apodized gratings. The influence of the bit-rate and the wavelength detuning of the incident pulses in the nonlinear response of the grating is analyzed. The deterioration in the pulses caused by the nonlinear...
متن کاملGap solitons in Bragg gratings with a harmonic superlat- tice
– Solitons are studied in a model of a fiber Bragg grating (BG) whose local reflectivity is subjected to periodic modulation. The superlattice opens an infinite number of new bandgaps in the model’s spectrum. Averaging and numerical continuation methods show that each gap gives rise to gap solitons (GSs), including asymmetric and double-humped ones, which are not present without the superlattic...
متن کاملLocalized Dispersive States in Nonlinear Coupled Mode Equations for Light Propagation in Fiber Bragg Gratings
Dispersión effects induce new instabilities and dynamics in the weakly nonlinear description of light propagation in fiber Bragg gratings. A new family of dispersive localized pulses that propágate with the group velocity is numerically found, and its stability is also analyzed. The unavoidable different asymptotic order of transport and dispersión effects plays a crucial role in the determinat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15050963