Manipulation and enhancement of nonlinear optical phenomena at the nanoscale with all-dielectric metasurfaces act as a perfect choice when explored with their plasmonic counterparts. The advantages of dielectric metasurface are reduced dissipative losses, large resonant enhancement, large mode volumes, and the presence of strong bulk light-matter interaction, which enables higher conversion efficiency. Hitherto, we are enforced to utilize the Floquet theorem for the computational cost of full-wave numerical simulations, which builds infinite periodic structures, to design such devices. However, in this work, we have come up with a new alternate tool to replace the previous approach to perform analytical simulations of finite-size metasurfaces supporting high-order resonances and strong nonlinear optical effects. The results obtained seem to be faithful to anticipate actual metasurface behaviors.
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