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Response to "Comment on 'A new class of out-gap discrete solitons in binary waveguide arrays'" [Chaos 32, 073113 (2022)].

Chaos (Woodbury, N.Y.)·2023
Same author

A new class of out-gap discrete solitons in binary waveguide arrays.

Chaos (Woodbury, N.Y.)·2022
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Beyond-band discrete soliton interaction in binary waveguide arrays.

Minh C Tran1,2, Truong X Tran3

  • 1Atomic Molecular and Optical Physics Research Group, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam.

Chaos (Woodbury, N.Y.)
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Summary

Two novel beyond-band discrete solitons (BBDSs) in binary waveguide arrays exhibit complex interactions. Their behavior diverges from fundamental solitons as intensity increases, with single-peaked BBDSs showing greater robustness and reduced mobility.

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Area of Science:

  • Nonlinear Optics
  • Waveguide Arrays
  • Soliton Physics

Background:

  • Beyond-band discrete solitons (BBDSs) are a recently identified class of solitons.
  • Their interactions in binary waveguide arrays are not yet fully understood.
  • Previous research often models soliton interactions using the nonlinear Schrödinger equation.

Purpose of the Study:

  • To investigate the interaction dynamics of two BBDSs in binary waveguide arrays.
  • To compare BBDS interactions with fundamental solitons under varying conditions.
  • To analyze the influence of soliton intensity and discreteness on interaction patterns.

Main Methods:

  • Numerical simulations of soliton propagation in binary waveguide arrays.
  • Analysis of interaction scenarios for two BBDSs with identical envelopes.
  • Comparison of single-peaked and double-peaked BBDS behaviors.

Main Results:

  • At low intensities (quasi-continuous regime), BBDSs interact similarly to fundamental solitons.
  • Increased intensity enhances discreteness, altering interaction dynamics and preventing periodic collisions.
  • Single-peaked BBDSs demonstrate greater robustness and lower mobility than double-peaked BBDSs.

Conclusions:

  • The discrete nature of binary waveguide arrays significantly impacts BBDS interactions at higher intensities.
  • BBDS interaction dynamics are sensitive to soliton intensity and internal structure (single- vs. double-peaked).
  • Robustness of single-peaked BBDSs can inhibit interactions even at separations where double-peaked BBDSs interact.