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Gradient-based topology optimization via the adjoint method has been successfully used in nanophotonics to uncover shapes with superior performances compared to what would be possible with traditional design methods. Here, we have used this technique to optimize a dielectric object to engineer its induced multipole moments. As an example, we show the method's application to realize the first Kerker effect in a silicon nanoparticle. The final result shows a rather complex shape with highly suppressed backscattering due to the excitation of in-phase electric and magnetic dipoles with the same amplitude. This promising approach can pave the way for the inverse design of photonic structures based on a set of desired multipole moments, which can exhibit a variety of complex photonic phenomena.
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Sadeq Bahmani, Andrey B. Evlyukhin, Emadeldeen Hassan, Antonio Cala Lesina, "Inverse design of nanophotonic meta-atoms with desired multipoles," Proc. SPIE 12991, Nanophotonics X, 129911Q (10 June 2024); https://doi.org/10.1117/12.3029562