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Abstract <p>The authors study features of the quantum transport of photons in a waveguide lattice with two types of fractal structure: a Sierpinski triangle and a square formed by hexagons. The evolution of the system is analyzed using a discrete Schrödinger equation that considers 3–5 order nonlinearity. The effect fractal geometry has on the quantum transport of photons in a waveguide lattice is revealed.</p>

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Modeling Photon Transport in a Fractal Waveguide Considered for 3–5 Order Nonlinearity

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • R. R. Trofimov,
  • N. N. Konobeeva

摘要

Abstract

The authors study features of the quantum transport of photons in a waveguide lattice with two types of fractal structure: a Sierpinski triangle and a square formed by hexagons. The evolution of the system is analyzed using a discrete Schrödinger equation that considers 3–5 order nonlinearity. The effect fractal geometry has on the quantum transport of photons in a waveguide lattice is revealed.