Abstract The magnitude enhancement of the Goos–Hänchen shift (GHS) in reflected light (RL) is investigated. We consider a cavity in which a four-level atomic medium with a double lambda ( )-type configuration is contained. By changing the relative phase of optical fields in the four-level atomic configuration, we obtain normal and anomalous dispersions. Similarly, the manipulation of the positive and negative GHS in the RL is explored via the control of the relative phase. In addition, we investigated the GHS in the RL with and without the Doppler broadening (DB) effect. Interestingly, giant GHS in the RL is revealed for the DB medium. The role of the Doppler width on the magnitude of the GHS in RL is also studied. We find that the magnitude of the negative and positive GHS in the RL increased via increasing the Doppler width.Abstract The magnitude enhancement of the Goos–Hänchen shift (GHS) in reflected light (RL) is investigated. We consider a cavity in which a four-level atomic medium with a double lambda ( )-type configuration is contained. By changing the relative phase of optical fields in the four-level atomic configuration, we obtain normal and anomalous dispersions. Similarly, the manipulation of the positive and negative GHS in the RL is explored via the control of the relative phase. In addition, we investigated the GHS in the RL with and without the Doppler broadening (DB) effect. Interestingly, giant GHS in the RL is revealed for the DB medium. The role of the Doppler width on the magnitude of the GHS in RL is also studied. We find that the magnitude of the negative and positive GHS in the RL increased via increasing the Doppler width.

Laser PhysicsMay 16, 20198 citations

Quaternions and the Quantum

Matthew A. Graydon

Bulletin of the American Physical SocietyMar 22, 20110 citations

Multi-wave mixing dependence Goos–Hänchen shift of structured light in atomic medium

Afsar Ali, Tahirzeb Khan, Syed Zulfiqar +5 more

The reflection, transmission, and related Goos–Hänchen (GH) shifts of structured light are investigated by multi-wave mixing conditions in this paper. The terms absorption, dispersion, group index, and photon drag rotation of structured light are also studied by multi-wave mixing. The maximum values of group index of [Formula: see text] and rotary photon drag of [Formula: see text] micro-radian are reported in this work. Significant modifications of GH shift in reflection and transmission modes are investigated with azimuthal quantum number of structured light along with multi-wave mixing. Various crater shapes are reported in reflection and transmission modes and with their corresponding GH shifts in reflection and transmission modes. The reflection and transmission GH shifts exhibit a correlation where [Formula: see text]ve reflection GH shift regions correspond to −ve transmitted GH shift regions, and vice versa. The maximum of [Formula: see text]ve and −ve GH shift in reflection and transmission modes is investigated up to [Formula: see text]. The modified GH shifts in reflection and transmission modes have significant applications in high-resolution imaging, sensing, and optical signal processing.The reflection, transmission, and related Goos–Hänchen (GH) shifts of structured light are investigated by multi-wave mixing conditions in this paper. The terms absorption, dispersion, group index, and photon drag rotation of structured light are also studied by multi-wave mixing. The maximum values of group index of [Formula: see text] and rotary photon drag of [Formula: see text] micro-radian are reported in this work. Significant modifications of GH shift in reflection and transmission modes are investigated with azimuthal quantum number of structured light along with multi-wave mixing. Various crater shapes are reported in reflection and transmission modes and with their corresponding GH shifts in reflection and transmission modes. The reflection and transmission GH shifts exhibit a correlation where [Formula: see text]ve reflection GH shift regions correspond to −ve transmitted GH shift regions, and vice versa. The maximum of [Formula: see text]ve and −ve GH shift in reflection and transmission modes is investigated up to [Formula: see text]. The modified GH shifts in reflection and transmission modes have significant applications in high-resolution imaging, sensing, and optical signal processing.

Journal of Nonlinear Optical Physics & MaterialsJan 18, 20250 citations

Coherent Control of the Goos-Hänchen Shift in Polariton Optomechanics

Shah Fahad, Gao Xianlong

We propose a theoretical scheme for controlling the Goos-Hänchen shift (GHS) of a reflected probe field in a polariton optomechanical system. The system comprises an optical mode, a molecular vibrational mode, and $N$ excitonic modes, where excitons couple to molecular vibrations via conditional displacement interactions and to photons through electric dipole interactions. We show that the effective exciton-vibration coupling provides a powerful mechanism for coherent GHS control: in its absence, the system exhibits a pronounced GHS at resonance, while activating it strongly suppresses the shift. The effective cavity detuning and the cavity length serve as additional tunable parameters for GHS manipulation. Furthermore, increasing the collective exciton-optical coupling enhances the GHS. Our results establish a framework for probing the GHS in polariton optomechanical systems and offer new avenues for designing optical devices that exploit beam-displacement phenomena.We propose a theoretical scheme for controlling the Goos-Hänchen shift (GHS) of a reflected probe field in a polariton optomechanical system. The system comprises an optical mode, a molecular vibrational mode, and $N$ excitonic modes, where excitons couple to molecular vibrations via conditional displacement interactions and to photons through electric dipole interactions. We show that the effective exciton-vibration coupling provides a powerful mechanism for coherent GHS control: in its absence, the system exhibits a pronounced GHS at resonance, while activating it strongly suppresses the shift. The effective cavity detuning and the cavity length serve as additional tunable parameters for GHS manipulation. Furthermore, increasing the collective exciton-optical coupling enhances the GHS. Our results establish a framework for probing the GHS in polariton optomechanical systems and offer new avenues for designing optical devices that exploit beam-displacement phenomena.

physics.opticsCross-listedarXiv:2601.06876Jan 13, 2026

N

excitonic modes, where excitons couple to molecular vibrations via conditional displacement interactions and to photons through electric dipole interactions. We show that the effective exciton-vibration coupling provides a powerful mechanism for coherent GHS control: in its absence, the system exhibits a pronounced GHS at resonance, while activating it strongly suppresses the shift. The effective cavity detuning and the cavity length serve as additional tunable parameters for GHS manipulation. Furthermore, increasing the collective exciton-optical coupling enhances the GHS. Our results establish a framework for probing the GHS in polariton optomechanical systems and offer new avenues for designing optical devices that exploit beam-displacement phenomena.