Abstract
In this work, we present a particular nonlinear transmission line called chameleon nonlinear transmission line. In fact, the chameleon’s behavior is related to the fact that without changing its appearance, the line can exhibit alternatively purely right - or left - handed behavior. This transmission line is different to the composite one. So, the goal of this work is to demonstrate that this special line can support the propagation of soliton light pulse subjected to quintic – phase modulation, improve the freak wave’s mechanism of generation and verify the chameleon’s behavior of the line. Consequently, we employ collective coordinate’s theory in order to give a great characterization of the light pulse. Then, we introduce an upgraded function called “type II Ansatz function” with eight collective coordinates compared to the conventional Gaussian Ansatz with six collective coordinates. We show that the two additional coordinates will allow us to improve the technique of measurement of internal excitation leading to the generation of rogue events. Moreover, these coordinates will give supplemental details on frequency shift and chirp distortions during the generation of specific rogue events such as “wall of waves”, tree structures, multi - wave trains, Kuznetsov - Ma breathers, Akhmediev breathers, Peregrine solitons and triangular rogue waves. The stability of the soliton light pulse will be also investigated at specific frequency ranges.
Highlights
Metamaterials are materials which present a negative refraction index compared to ordinary materials with positive one [1, 2]
The dashed green curve gives the residual field energy (RFE) [55 - 58], which outlines the level of internal agitation of the light pulse
At the field representations, we respectively have the dashed blue curve which stands for the exact field solution of nonlinear Schrödinger equation, the solid black curve which corresponds to the field reconstructed by collective coordinates coming from minimization and the dotted red curve is the field reconstructed by collective coordinates originating from type II Ansatz function
Summary
Metamaterials are materials which present a negative refraction index compared to ordinary materials with positive one [1, 2] This type of materials which is not found in nature is named negative index, double - negative or left - handed metamaterials [1, 2]. Transmission lines are found at microwave frequencies zone [3, 4]. This discovery leads to left - handed transmission line capable to support soliton light pulses propagation [5 - 11]. Extreme events are found in several domains such as nonlinear optics [22], lasers [23], and plasmas [24].
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