Basis function approach for diffractive pattern generation with Dammann vortex metasurfaces

Abstract

In mathematics, general functions can be decomposed into a linear combination of basis functions. This principle can be used for creating an infinite number of distinct geometric patterns based on a finite number of basis patterns. Here, we propose a Dammann vortex metasurface (DVM) for optically generating an array of diverse, diffraction-multiplexed vortex patterns, based on three custom-defined basis patterns. The proposed DVM, with its capability of quantitatively correlating phase and intensity distribution in different diffraction orders, opens up doors for various applications including orbital angular momentum encryptions and quantum entanglement.

Recent Advances and Prospects of Optical Metasurfaces

“…Based on this, a compact and trichannel GVB generator is demonstrated using an anisotropic metasurface and optimizing algorithms. Owing to their large information capacity and diverse optical recording ability, metasurfaces can greatly enrich the design freedom of structured light combined with other techniques, such as introducing Dammann gratings, ,, polarization multiplexing, ,, frequency multiplexing, , and spatial multiplexing . For instance, by combining GVB with a Dammann vortex metasurface, a special differential calculator was proposed .…”

“…92 For instance, by combining GVB with a Dammann vortex metasurface, a special differential calculator was proposed. 91 The diffraction multiplexed array was controlled by the linear combination of different basic GVB functions. The geometric pattern of each diffraction order is distinct based on its combination mode and represents a specific mathematical operation.…”

Spatially Structured-Mode Multiplexing Holography for High-Capacity Security Encryption

“…Importantly, holographic multiplexing technologies make it possible to encode multiple patterns into one hologram. In the field of optics, different physical dimensions of light have been utilized as independent information encoding/decoding channels, including wavelength, − polarization, − and orbital angular momentum (OAM). ,− …”

Advances in Meta-Optics and Metasurfaces: Fundamentals and Applications

“…Existing efforts have pushed meta-optics into a new era from initial optical control and optical imaging to optical computing via performing metasurface-based mathematical operations on the optical field (including its amplitude, phase, polarization, and frequency, etc.) [ 85 , 124 , 138 , 139 , 140 , 141 , 142 ].…”