Spiral adaptive Fresnel lens: wave optics

Area of Science:

• Optics and Photonics
• Wave Optics
• Diffraction Theory

Background:

• Adaptive Fresnel lenses (AFLs) are a novel optical component.
• Previous work introduced AFLs based on spiral-shaped complementary cylindrical lenses.
• The wave optics of these spiral AFLs require detailed investigation.

Purpose of the Study:

• To investigate the wave optics of spiral adaptive Fresnel lenses (AFLs).
• To analyze diffraction effects in AFLs with narrow windings.
• To design modifications for achieving precise parabolic phase profiles.

Main Methods:

• Calculation of point-spread functions for spiral AFLs.
• Investigation of diffraction phenomena in narrow-winding configurations.
• Design and theoretical analysis of a modified AFL structure.

Main Results:

• Typical point-spread functions were calculated.
• Diffraction effects were analyzed for narrow windings.
• A modification was designed to achieve an exact parabolic phase profile for infinitesimally thin components.

Conclusions:

• The study provides foundational insights into the wave optics of spiral AFLs.
• Findings contribute to the understanding and potential improvement of spiral AFL performance.
• The designed modification offers a pathway to precise phase control in optical systems.