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Updated: May 25, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

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Published on: March 20, 2017

Characterizing the shape of freeform optics.

¹QED Technologies Inc., 1040 University Ave., Rochester, New York 14607, USA. forbes@qedmrf.com

|February 15, 2012

Summary

A new method generalizes asphere characterization for freeform optics. This approach uses orthogonal polynomials and efficient algorithms for shape computation and manufacturability estimates.

Area of Science:

Optics and Optical Engineering
Computational Science

Background:

Characterizing optical surfaces is crucial for performance.
Existing methods are limited, especially for complex freeform optics.

Purpose of the Study:

To generalize a shape characterization method for rotationally symmetric aspheres to freeform optics.
To introduce novel orthogonal polynomials and efficient algorithms for surface analysis.

Main Methods:

Generalization of a rotationally symmetric asphere characterization technique.
Introduction of new orthogonal polynomial sets.
Development of robust algorithms for surface shape and derivative computation.

Main Results:

A generalized method applicable to a wide class of freeform optics.

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Efficient algorithms for calculating surface shape and high-order derivatives.

A characterization providing intuitive shape interpretation and manufacturability insights.

Conclusions:

The generalized method offers a powerful tool for freeform optics characterization.
The introduced polynomials and algorithms enhance computational efficiency and accuracy.
This approach aids in the design and manufacturing of complex optical systems.