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Applying Permanent, Robust Stenciled Patterns of Fine Particles to Elastomeric Surfaces

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Null-screen design for highly freeform surface testing.

Daniel Aguirre-Aguirre, Brenda Villalobos-Mendoza, Rufino Díaz-Uribe

|December 31, 2020

Summary

This summary is machine-generated.

A novel method accurately calculates null screens for complex freeform surfaces. This technique enables precise prediction of observed patterns on detectors for advanced optical designs.

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Area of Science:

Optics and Photonics
Optical Engineering
Surface Metrology

Background:

Designing and analyzing complex freeform optical surfaces presents significant challenges.
Accurate null-screen calculation is crucial for fabricating and testing these surfaces.

Purpose of the Study:

To present a new, versatile method for calculating null screens for highly freeform or complex optical surfaces.
To enable the prediction of observed patterns on a detector for any desired null screen and surface.

Main Methods:

Utilized Zernike polynomials to design complex surfaces with large sagittas (≥40 mm) and peak-to-valley (PV) differences (≥30 mm).
Fabricated freeform surfaces using 3D printing and five-axis CNC machining for validation.
Developed and applied a novel algorithm for null-screen calculation and image prediction.

Main Results:

The proposed method accurately calculates the image observed on the detector for various null screens and freeform surfaces.
Validation demonstrated high performance for extremely fast complex freeform surfaces (slopes ≤ 80°).
Achieved errors below 0.66% in PV and 0.36% in root-mean-square (rms) for sagitta differences.

Conclusions:

The presented alternative method provides a reliable approach for null-screen calculation in complex optical systems.
The technique is effective for analyzing freeform surfaces with demanding specifications.
This method facilitates the accurate characterization and manufacturing of advanced optical components.