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Related Experiment Video

Updated: Jul 8, 2026

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Published on: August 13, 2019

Diffraction analysis of rotationally symmetric optical systems using computer-generated aberration polynomials.

S C Tam¹, G D Lewis, S Doric

¹Imperial College, Optics Section, Blackett Laboratory, London SW7 2BZ, UK.

|April 15, 1983

Summary

This summary is machine-generated.

A novel ray tracing method automatically generates optical aberration polynomials for analyzing diffraction in rotationally symmetric systems. This approach utilizes the Winograd Fourier transform for efficient computation, including complex surfaces.

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

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

Published on: August 12, 2013

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Last Updated: Jul 8, 2026

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Published on: August 13, 2019

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

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

Published on: August 12, 2013

Area of Science:

Optics and Photonics
Computational Science

Background:

Accurate optical system analysis requires robust methods for calculating diffraction and aberrations.
Traditional methods can be computationally intensive, especially for complex optical designs.

Purpose of the Study:

To adapt and apply T. B. Andersen's ray tracing scheme for automatic optical aberration polynomial generation.
To perform diffraction analysis of rotationally symmetric optical systems using desktop computing.
To compute diffraction-based optical transfer functions (OTFs) efficiently.

Main Methods:

Implementation of a ray tracing scheme for automatic generation of optical aberration polynomials.
Application of the Winograd Fourier transform algorithm for computing diffraction-based OTFs.
Inclusion of aspherical and reflective surfaces in the optical system modeling.

Main Results:

Successful application of the ray tracing scheme to diffraction analysis.
Efficient computation of OTFs at various field positions.
Demonstrated capability to handle aspherical and reflective optical surfaces.

Conclusions:

The implemented ray tracing method provides an effective approach for analyzing diffraction in rotationally symmetric optical systems.
The use of the Winograd Fourier transform enhances computational efficiency for OTF calculations.
The method is versatile, accommodating complex optical elements like aspherical and reflective surfaces.