中国物理B ›› 2026, Vol. 35 ›› Issue (4): 44203-044203.doi: 10.1088/1674-1056/ae00b3

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Bistable Goos-Hänchen shift owing to leaky-mode excitation in a slab waveguide with Kerr nonlinear medium

Yuan-Ping Cai(蔡园平)1, Li Jiang(姜丽)2,†, and Ren-Gang Wan(万仁刚)1,‡   

  1. 1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China;
    2 Changchun University of Science and Technology, Changchun 130000, China
  • 收稿日期:2025-08-01 修回日期:2025-08-25 接受日期:2025-08-29 发布日期:2026-03-26
  • 通讯作者: Li Jiang, Ren-Gang Wan E-mail:jiangli@cust.edu.cn;wrg@snnu.edu.cn
  • 基金资助:
    This work was supported by the Natural Science Foundation of Jilin Province of China (Grant No. 20220101031JC).

Bistable Goos-Hänchen shift owing to leaky-mode excitation in a slab waveguide with Kerr nonlinear medium

Yuan-Ping Cai(蔡园平)1, Li Jiang(姜丽)2,†, and Ren-Gang Wan(万仁刚)1,‡   

  1. 1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China;
    2 Changchun University of Science and Technology, Changchun 130000, China
  • Received:2025-08-01 Revised:2025-08-25 Accepted:2025-08-29 Published:2026-03-26
  • Contact: Li Jiang, Ren-Gang Wan E-mail:jiangli@cust.edu.cn;wrg@snnu.edu.cn
  • Supported by:
    This work was supported by the Natural Science Foundation of Jilin Province of China (Grant No. 20220101031JC).

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摘要： We investigate the nonlinear Goos—Hänchen shift of a light beam reflected from a prism-coupled leaky waveguide containing a Kerr medium. As the incident power varies, the system can switch between two states, total internal reflection and frustrated total reflection, owing to the inherent positive feedback arising from the intensity-dependent guiding mode resonance. The reflectance exhibits optical bistability; meanwhile, the lateral shift of the reflected beam also shows hysteresis behavior. It is found that the transition between the two stable states is related to the excitation of a leaky mode in the waveguide, which results from the modulation of the electric field in the nonlinear substrate. We also analyze the effects of system parameters on the bistable Goos—Hänchen shift. The thresholds as well as the width of the hysteresis curve are sensitive to the thicknesses of the gap layer and the guiding layer, which determine the resonance angle. The bistable lateral displacement in the slab waveguide may have potential applications in optical switching, beam steering, etc.

关键词: Goos—Hänchen shift, optical bistability, waveguide, nonlinear optics

Abstract: We investigate the nonlinear Goos—Hänchen shift of a light beam reflected from a prism-coupled leaky waveguide containing a Kerr medium. As the incident power varies, the system can switch between two states, total internal reflection and frustrated total reflection, owing to the inherent positive feedback arising from the intensity-dependent guiding mode resonance. The reflectance exhibits optical bistability; meanwhile, the lateral shift of the reflected beam also shows hysteresis behavior. It is found that the transition between the two stable states is related to the excitation of a leaky mode in the waveguide, which results from the modulation of the electric field in the nonlinear substrate. We also analyze the effects of system parameters on the bistable Goos—Hänchen shift. The thresholds as well as the width of the hysteresis curve are sensitive to the thicknesses of the gap layer and the guiding layer, which determine the resonance angle. The bistable lateral displacement in the slab waveguide may have potential applications in optical switching, beam steering, etc.

Key words: Goos—Hänchen shift, optical bistability, waveguide, nonlinear optics

中图分类号:  (Nonlinear optics)

  • 42.65.-k
78.67.Pt (Multilayers; superlattices; photonic structures; metamaterials) 78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))