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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Deterministic direct design method for a spherical-aberration-free singlet lens with reduced coma.

Jiandong Lin, Qi An, Naibo Zhang

|June 10, 2024

Summary

This study presents a new singlet lens design that corrects spherical aberration and reduces complex high-order coma. The innovative algorithm achieves diffraction-limited performance for optical systems with a wide field of view.

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Last Updated: Jun 24, 2025

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Published on: August 12, 2013

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Area of Science:

Optical Engineering
Lens Design
Aberration Correction

Background:

Achieving spherical aberration-free performance in singlet lenses while simultaneously correcting for coma, particularly high-order coma, remains a significant challenge in optical design.
Existing lens designs often struggle with residual coma, limiting their performance in demanding optical applications.

Purpose of the Study:

To present a novel spherical aberration-free singlet lens design with significantly reduced coma, including high-order contributions.
To introduce a design algorithm that effectively deduces aspherical surface parameters for improved coma correction.

Main Methods:

A design algorithm was developed to determine the front aspherical surface parameters based on the back spherical surface.
Meridional ray tracing was employed to optimize the back focal length and back spherical radius for coma reduction.
An exemplary lens was designed and evaluated based on these principles.

Main Results:

The developed design algorithm successfully yielded a singlet lens with corrected spherical aberration and reduced coma.
The exemplary lens demonstrated well-balanced, diffraction-limited performance.
This performance was maintained across a field angle range of 0.0° to 2.5° at a working F-number (F#) of 1.65.

Conclusions:

The proposed design algorithm offers an effective method for creating high-performance singlet lenses with excellent coma correction.
The resulting lens design provides a viable solution for applications requiring aberration-free imaging over a moderate field of view.