研究目的
Investigating the properties of light fields with double higher-order singularities (phase and polarization) near the focus, including the reverse and toroidal energy flux.
研究成果
The study provides general expressions for the components of the electric and magnetic field strength vectors near the sharp focus of an optical vortex with topological charge m and n-th-order azimuthal polarization. It confirms the presence of reverse and toroidal energy fluxes under specific conditions, offering insights into the behavior of light fields with double higher-order singularities.
研究不足
The study is theoretical and relies on numerical simulations. Experimental validation is not provided. The applicability of the findings to practical optical systems may require further investigation.
1：Experimental Design and Method Selection:
The study uses the Richards-Wolf formalism to derive analytical expressions for the components of the electric and magnetic fields near the focus of an optical vortex with integer topological charge m and cylindrical polarization of integer order n.
2：Sample Selection and Data Sources:
The theoretical study is based on mathematical modeling without physical samples.
3：List of Experimental Equipment and Materials:
Numerical simulations are performed assuming a wavelength of λ = 532 nm and a numerical aperture NA =
4：Experimental Procedures and Operational Workflow:
The study involves deriving and solving integrals for the components of the electric and magnetic fields and the Poynting vector near the focus.
5：Data Analysis Methods:
The analysis includes numerical simulations to confirm the presence of reverse and toroidal energy fluxes.
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