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Strehl ratio: a tool for optimizing optical nulls and singularities
Summary
This study reviews phase functions creating central image extinction, linking them to Bessel function zeros. These optical nulls, generated by deformable mirrors or phase plates, offer improved efficiency and design rules.
Area of Science:
- Optical physics
- Diffraction theory
Background:
- Optical systems often aim to control light distribution.
- Achieving a null Strehl ratio creates a central extinction in the image plane.
- Deformable mirrors and phase plates are used to manipulate optical wavefronts.
Purpose of the Study:
- To review radial and azimuthal phase functions yielding a null Strehl ratio.
- To explore practical applications in optical systems using phase manipulation.
- To identify relationships between these functions and mathematical constructs.
Main Methods:
- Fraunhofer scalar diffraction framework.
- Analysis of radial and azimuthal phase functions.
- Investigation of links to Bessel function zeros.
Main Results:
- Identified phase functions including optical vortices and circular phase gratings (CPGs).
- Revealed connections to zeros of type-J Bessel functions.
- Demonstrated potential for improved CPG radiometric efficiency under null Strehl ratio conditions.
Conclusions:
- Analytical solutions for optical nulls are presented.
- Design rules for rescaling and combining phase functions are defined.
- These solutions can serve as a basis for automated optical design software.
