We investigate the Goos-H\"anchen shifts in reflection for a light beam within a graphene structure utilizing the Fizeau drag effect induced by its massless Dirac electrons in incident light. The magnitudes of spatial and angular shifts for a light beam propagating against the direction of drifting electrons are significantly enhanced, while shifts for a beam copropagating with the drifting electrons are suppressed. The Goos-H\"anchen shifts exhibit augmentation with increasing drift velocities of electrons in graphene. The impact of the incident wavelength on the angular and spatial shifts in reflection is discussed. Furthermore, the study highlights the crucial roles of the density of charged particles in graphene, the particle relaxation time, and the thickness of the graphene in manipulating the drag-affected Goos-H\"anchen shifts. This investigation offers valuable insights for efficiently guiding light in graphene structures under the influence of the Fizeau drag effect.
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Din et al. (2024) studied this question.
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