Unidirectional Invisibility and PT-Symmetry with Graphene

Abstract

We investigate the reflectionlessness and invisibility properties in the transverse electric (TE) mode solution of a linear homogeneous optical system which comprises the $\mathcal{P}\mathcal{T}$-symmetric structures covered by graphene sheets. We derive analytic expressions, indicate roles of each parameter governing optical system with graphene and justify that optimal conditions of these parameters give rise to broadband and wide angle invisibility. Presence of graphene turns out to shift the invisible wavelength range and to reduce the required gain amount considerably, based on its chemical potential and temperature. We substantiate that our results yield broadband reflectionless and invisible configurations for realistic materials of small refractive indices, usually around $\eta =1$, and of small thickness sizes with graphene sheets of rather small temperatures and chemical potentials. Finally, we demonstrate that pure $\mathcal{P}\mathcal{T}$-symmetric graphene yields invisibility at small temperatures and chemical potentials.

arXiv comment20 pages, 1 table 17 figures

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Cited by in corpus (9)

• Theory of reflectionless scattering modes
• Unidirectional Reflectionless Transmission for Two-Dimensional $\mathcal{P}\mathcal{T}$-symmetric Periodic Structures
• $\mathcal{P}\mathcal{T}$-Symmetric Coherent Perfect Absorber with Graphene
• Broadband Coherent Perfect Absorber with PT-Symmetric 2D-Materials
• Lasing with Topological Weyl Semimetal
• Quantum Optics of Non-Hermitian Optical Systems: Propagation of Squeezed State of Light through Dispersive non-Hermitian Optical Bilayers
• Broadband and Wide-Angle Invisibility with PT-Symmetric 2D-Weyl Semimetal
• Lopsided optical diffraction in loop electromagnetically induced grating
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