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    Tunable Goos-Hänchen shift assisted by parametric amplification in a cavity magnomechanical system

    Shuting Shen1,*, Jing-Yi Pan1, Ming-Ming Du1, Xi-Yun Li2, Wei Zhong3, Lan Zhou2, and Yu-Bo Sheng1,†

    • *Contact author: shenst1995@163.com
    • †Contact author: shengyb@njupt.edu.cn

    Phys. Rev. A 114, 043732 – Published 21 October, 2026

    DOI: https://doi.org/10.1103/bjv1-8xs3

    Abstract

    We investigate the Goos-Hänchen shift (GHS) of a reflected probe beam in a hybrid cavity magnomechanical system assisted by parametric amplification. The pump-induced parametric process modifies the probe reflection response, especially its phase dispersion, providing an external means to control the lateral shift. We show that both the magnitude and sign of the GHS can be tuned by varying the parametric coupling strength and the drive-probe detuning, enabling reversible sign control without changing the system configuration. The GHS also exhibits a pronounced dependence on the photon-magnon coupling and, in selected parameter regimes, varies monotonically with the effective magnomechanical coupling. Additional finite-width-beam calculations and an intensity-weighted analysis support the consistency between the stationary-phase prediction and the finite-beam response and show that the shift signal can persist under nonvanishing reflected intensity. These results identify parametric amplification as an effective mechanism for actively controlling the GHS and indicate that the reflected lateral shift provides a classical signature of the coupling-dependent response of the hybrid system.

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