Generalized spiral transformation for high-resolution sorting of vortex modes

Abstract

We propose a generalized spiral transformation scheme that is versatile to incorporate various types of spirals such as the Archimedean spiral and the Fermat spiral. Taking advantage of the equidistant feature, we choose the Archimedean spiral mapping and demonstrate its application in high-resolution orbital angular momentum mode sorting. Given a fixed minimum spiral width, the Archimedean spiral mapping shows superior performance over the logarithmic spiral mapping. This generalized transformation scheme may also find various applications in optical transformation and can be easily extended to other fields related to conformal mapping.

References in corpus (6)

• Efficient separation of the orbital angular momentum eigenstates of light
• Spiral Transformation for High-Resolution and Efficient Sorting of Optical Vortex Modes
• Compact sorting of optical vortices by means of diffractive transformation optics
• Non-paraxial design and fabrication of a compact OAM sorter in the telecom infrared
• Lossless reshaping of structured light
• A general framework for conformal transformations in electron optics