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$Interference and Diffraction$ 02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

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

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Adam SPGD algorithm in freeform surface in-process interferometry.

Jinling Wu, Chengwen Hu, Renhu Liu

|October 15, 2022

Summary

This summary is machine-generated.

This study introduces an adaptive interferometer using the Adam-SPGD algorithm for faster, more accurate freeform surface metrology. The new method significantly improves convergence rates and reduces testing time for advanced optical manufacturing.

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Area of Science:

Optical metrology
Surface characterization
Interferometry

Background:

Metrology of unknown freeform surfaces presents challenges in achieving high accuracy and efficiency.
Existing feedback control algorithms often face trade-offs between convergence rate, speed, and parameter intervention.

Purpose of the Study:

To introduce and evaluate a novel adaptive interferometer system for freeform surface metrology.
To enhance fringe release in interferometric measurements using a restructured feedback control algorithm.

Main Methods:

Implementation of the adaptive moment estimation (Adam) stochastic parallel gradient descent (SPGD) algorithm for fringe analysis.
Utilizing an adaptive interferometer setup for real-time surface measurement.
Comparative analysis through simulations and experimental validation against the standard SPGD algorithm.

Main Results:

The proposed Adam-SPGD algorithm demonstrates a 37% time saving compared to the conventional SPGD algorithm.
Achieved a 99% convergence rate, showcasing superior performance in fringe release.
The algorithm effectively balances convergence rate, speed, and minimizes parameter intervention.

Conclusions:

The adaptive interferometer with the Adam-SPGD algorithm offers significant improvements in metrology for freeform surfaces.
This approach shows great potential for in-process testing during freeform surface fabrication and large-volume testing applications.