Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Inverse design of optical elements based on arrays of dielectric spheres

Not Accessible

Your library or personal account may give you access

Abstract

Arrays of wavelength scale scatterers are a promising platform for designing optical elements with a compact footprint. The large number of degrees of freedom in this system allows for unique and plentiful functionalities. However, the many variables also create a complex design problem. While intuitive forward design methods work for simple optical elements, they often fail to produce complicated elements, especially those involving multiple elements. We present an inverse design methodology for large arrays of wavelength scale spheres based on both adjoint optimization or sensitivity analysis and generalized multi-sphere Mie theory as a solution to the design problem. We validate our methodology by designing two sets of optical elements with scatterers on sub-wavelength and super-wavelength periodic grids. Both sets consist of a singlet and a doublet lens with one and two layers of spheres respectively designed for 1550 nm. The designed NA is 0.33 (0.5) for the sub-wavelength (super-wavelength) periodic structure. We find that with the sub-wavelength periodicity, the full width at half-maximum of the focal spot produced by the singlet and doublet is smaller than that produced by an ideal lens with the same geometric parameters. Finally, we simulate a realistic experimental scenario for the doublet, where the spheres are placed on a substrate with the same refractive index. We find the performance is similar, but with lower intensity at the focal spot and larger spot size. The method described here will simplify the design procedure for complicated multi-functional optical elements and or scatterer array-based volume optics based on a specified figure of merit.

© 2018 Optical Society of America

Full Article  |  PDF Article
More Like This
Design and optimization of ellipsoid scatterer-based metasurfaces via the inverse T-matrix method

Maksym V. Zhelyeznyakov, Alan Zhan, and Arka Majumdar
OSA Continuum 3(1) 89-103 (2020)

Computational inverse design for cascaded systems of metasurface optics

Adam S. Backer
Opt. Express 27(21) 30308-30331 (2019)

Inverse design and demonstration of high-performance wide-angle diffractive optical elements

Dong Cheon Kim, Andreas Hermerschmidt, Pavel Dyachenko, and Toralf Scharf
Opt. Express 28(15) 22321-22333 (2020)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (12)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (16)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved