ABSTRACT In this paper we present the analysis of soliton propagation in photonic crystal metamaterials. Current analysis considers the case of the complex refractive index for double negative (DNG) materials and for regular metamaterials. The analytical solution of the nonlinear Schrödinger (NLS) partial differential equation is realized through the traveling wave model. The analysis reveals the existence of soliton pulse propagation under specific constraint conditions necessary for the existence of the soliton solutions. The analytical solutions are validated by the results obtained through simulations. The analysis results give design guidance of waveguide structures able to support undistorted soliton wave propagation.

中文翻译：

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在光子晶体中实现的超材料中孤子脉冲传播的分析

摘要 在本文中，我们介绍了光子晶体超材料中孤子传播的分析。目前的分析考虑了双负 (DNG) 材料和常规超材料的复折射率情况。非线性薛定谔(NLS) 偏微分方程的解析解是通过行波模型实现的。该分析揭示了在孤子解存在所必需的特定约束条件下孤子脉冲传播的存在。通过模拟获得的结果验证了解析解。分析结果为能够支持无畸变孤子波传播的波导结构提供了设计指导。