Comprehensive Fourier-based description of complex optical vortex fields

Jürgen Jahns; Waldemar Spiller

doi:10.1117/12.3000451

12 March 2024 Comprehensive Fourier-based description of complex optical vortex fields

Jürgen Jahns, Waldemar Spiller

Proceedings Volume 12901, Complex Light and Optical Forces XVIII; 129010I (2024) https://doi.org/10.1117/12.3000451
Event: SPIE OPTO, 2024, San Francisco, California, United States

Abstract

The complexity of multiple vortex fields requires an adequate mathematical foundation. We present a modal theory based on Fourier mathematics using cylindrical coordinates. The analysis is analogous to well-known 2D Fourier optics formalism using Cartesian coordinates. The theory is comprehensive in the sense that it cannot only be used to describe and analyze arbitrary vortex fields, but it may also be used for their synthesis. Here, after discussing the basic formalism, we consider various examples of vortex fields, as well as special topics such as the algorithmic design of vortex fields by using computer-generated diffractive optics, self-imaging, and nano-vortices.

Conference Presentation

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Jürgen Jahns and Waldemar Spiller "Comprehensive Fourier-based description of complex optical vortex fields", Proc. SPIE 12901, Complex Light and Optical Forces XVIII, 129010I (12 March 2024); https://doi.org/10.1117/12.3000451

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