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Updated: Jun 26, 2026
12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Optical aberrations described by an alternative series expansion.
1Carl Zeiss Vision R&D Australia, 19 Cooroora Crescent, Lonsdale, South Australia 5160, Australia. p.stephenson@physics.org
Summary
A novel aberration series is introduced for optical systems, offering a unified approach to characterizing aberrations. This new method simplifies comparisons between different optical designs, irrespective of pupil characteristics.
Area of Science:
- Optics
- Optical Engineering
- Aberration Analysis
Background:
- Optical system aberrations are typically analyzed using decomposition into series, such as Seidel and Zernike.
- Existing methods have limitations in straightforward characterization and comparison of diverse optical systems.
Purpose of the Study:
- To introduce a new aberration series that combines strengths of existing methods.
- To enable straightforward characterization and comparison of optical systems, independent of pupil size or shape.
Main Methods:
- Development of a new aberration series.
- Derivation of conversion expressions between the new and common aberration series (Seidel, Zernike).
- Discussion of the physical interpretations of the new aberration terms.
Main Results:
- The proposed series is consistent with traditional aberration types.
- It facilitates optical system comparison irrespective of pupil size or shape.
- Conversion formulas between series are provided.
Conclusions:
- The new aberration series offers an improved and versatile tool for optical system analysis.
- It simplifies the evaluation and comparison of optical performance across different designs.
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