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Abstract
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We assess the controllable Goos–Hänchen (GH) shift of Airy light beams reflected from a graphene-ENZ hybrid
photonic structure.We comprehensively analyze the influence of key material and structural parameters, namely
Fermi energy, carrier relaxation time, and the layer count of graphene, on the GH shift for both Gaussian and Airy
beam profiles. Our results demonstrate that Fermi energy serves as the most effective control parameter, enabling
significant tuning of the GH shift, including a reversal from positive to negative values, by modulating graphene’s
optical conductivity and the reflection phase. Notably, the enhanced lateral displacement provided by Airy beams
becomes even more pronounced at higher EF values. A crucial finding is that the relative advantage of Airy beams
overGaussian beams (1GH), representing their differential lateral displacement, remains robust and largely independent
of the number of graphene layers (N). Conversely, the carrier relaxation time plays a less dominant role in
tuning theGHshift. The high sensitivity of theGHshift to Fermi energy and incident angle suggests the potential
for applications in optical sensors and tunable optical devices.
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