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In present paper, a tunable left-handed plasmonic nanoantenna is designed to attain ultraviolet emission through a second harmonic generation with a phase harmonic condition. For the devised structure, the dispersion properties and negative values of the magnetic permeability and the electric permittivity show that the designed structure is left-handed for the primary wave (red light) and right-handed for the second harmonic wave (ultraviolet light). The 3D finite-difference time-domain method is employed to reveal its nonpareil skills (i.e. immense left-handed transmission efficiency and far-field spectrum exhibiting directionality). Attained results by numerical calculation for the second harmonic generation are accomplished with finite-difference time-domain analysis. The impact of physical parameters on transmission and dispersion characteristics is also scrutinized. Furthermore, flat lens application for a red light region with a centered wavelength at λ = 650 nm from the guileless design of LHM with no aberration is triumphed. Ultimately, a multifunction left-handed material is designed revealing tremendous potential to amass and abridge future applications in one architecture.

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