Adjoint optimization is used to construct libraries of varying numbers of arbitrarily shaped elements. These libraries are then used to create and compare four metalens designs. Each of the 0.5 mm diameter metalens are designed to have a NA of 0.5 and is optimized for wavelengths from 4 to 5 µm. Based on libraries consisting of 4, 8, 16, and 32 elements, the different silicon MWIR metalenses show little to no degradation in performance with increasing library size. Across the different library sizes, the transmission increases by 2%, the focal effieciency increases by 1% and the FWHM decreases by less than a percent.
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