TY - JOUR

T1 - Multipole optimization of light focusing by silicon nanosphere structures

AU - Ustimenko, N.

AU - Baryshnikova, K. V.

AU - Melnikov, Roman

AU - Kornovan, D.

AU - Ulyantsev, Vladimir

AU - Chichkov, Boris N.

AU - Evlyukhin, Andrey B.

N1 - Funding Information: Acknowledgment. The investigation of ZBA limitations for metalens was supported by the Russian Science Foundation grant No. 21-79-10190. Optimization software development was supported by the Russian Foundation for Basic Research and Deutsche Forschungsgemeinschaft grant No. 20-52-12062. B.N.C. and A.B.E. acknowledge support from Deutsche Forschungsgemeinschaft (390833453, 390837967); Deutscher Akademischer Austauschdienst; Foundation for the Advancement of Theoretical Physics and Mathematics. The authors thank M.I. Petrov, K. Frizyuk, and A.V. Prokhorov for fruitful discussions, and D. Sedov for technical assistance. K.V.B. acknowledges the financial support from the German Academic Exchange Service (DAAD), and D.F.K. and K.V.B. acknowledge the support from the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS.” B.N.C. and A.B.E. acknowledge support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453) and the Cluster of Excellence QuantumFrontiers (EXC 2123, Project ID 390837967).

PY - 2021/10

Y1 - 2021/10

N2 - We investigate theoretically and numerically the light focusing by finite-size silicon nanostructures. The structural element is a sphere supporting dipole and quadrupole resonances of both electric and magnetic types. Our analytical model is based on the coupled multipole model (CMM) when the optical response of every particle in the structure is associated with the excitation of its multipole moments generating the secondary (scattered) waves in the system. Since the focusing effect is reached due to the interference between the incident and scattered waves, it is possible to control and optimize its efficiency by managing the spatial positions of particles. In this work, we study the applicability of the CMM and zero-order Born approximation (ZBA) for the electromagnetic field simulation in finite-size many-particle systems at the single-particle multipole resonances. The CMM and ZBA are verified by comparison of approximated results with the results obtained from the T-matrix method. We discuss the application of the developed approach for focusing structures composed of nanospheres arranged in rings and multi-objective optimization of their focal length and focal intensity via an evolutionary algorithm. We demonstrate the strong optimization potential of our calculation scheme, based on the ZBA, for designing effective ultra-thin metalenses.

AB - We investigate theoretically and numerically the light focusing by finite-size silicon nanostructures. The structural element is a sphere supporting dipole and quadrupole resonances of both electric and magnetic types. Our analytical model is based on the coupled multipole model (CMM) when the optical response of every particle in the structure is associated with the excitation of its multipole moments generating the secondary (scattered) waves in the system. Since the focusing effect is reached due to the interference between the incident and scattered waves, it is possible to control and optimize its efficiency by managing the spatial positions of particles. In this work, we study the applicability of the CMM and zero-order Born approximation (ZBA) for the electromagnetic field simulation in finite-size many-particle systems at the single-particle multipole resonances. The CMM and ZBA are verified by comparison of approximated results with the results obtained from the T-matrix method. We discuss the application of the developed approach for focusing structures composed of nanospheres arranged in rings and multi-objective optimization of their focal length and focal intensity via an evolutionary algorithm. We demonstrate the strong optimization potential of our calculation scheme, based on the ZBA, for designing effective ultra-thin metalenses.

KW - physics.optics

UR - http://www.scopus.com/inward/record.url?scp=85116000855&partnerID=8YFLogxK

U2 - 10.1364/JOSAB.436139

DO - 10.1364/JOSAB.436139

M3 - Article

VL - 38

SP - 3009

EP - 3019

JO - Journal of the Optical Society of America B: Optical Physics

JF - Journal of the Optical Society of America B: Optical Physics

SN - 0740-3224

IS - 10

ER -