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In this paper we demonstrate a high numerical aperture (NA) mid Infra-red (MIR) meta-lens with high focusing efficiency in band (2μm - 3μm) based on inverse design with topology optimization. We reformulate the optimization problem to benefit multi-wavelengths using maximal mini formulation. The meta-surfaces based on all-doped titanium dioxide (TIO2). The designed meta-lens based on this inverse design methodology produces a maximum focusing efficiency 93.71%, an average focusing efficiency 75.66%, a maximum full width half maximum (FWHM) 2.2μm and an average FWHM 1.8µm, and all these results laying under very high numerical aperture condition 0.8.
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Abdallah Maher, Mohamed A. Swillam, "Design of all-dielectric high NA mid infra-red metalens using inverse design and topology optimization," Proc. SPIE 12568, Metamaterials XIV, 1256817 (6 June 2023); https://doi.org/10.1117/12.2665691