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Diffractive optical system design by cascaded propagation.

Boris Ferdman, Alon Saguy, Dafei Xiao

|October 14, 2022

Summary

This summary is machine-generated.

This study introduces an efficient, differentiable propagation model for designing complex optical systems. The new method, based on the Collins integral, allows for greater design freedom and optimization of diffractive optical elements using backpropagation.

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Area of Science:

Optical Engineering
Computational Optics
Diffractive Optics

Background:

Modern optical system design heavily relies on computational tools like geometrical and Fourier optics.
Fourier optics is commonly used for thin diffractive elements producing shift-invariant Point Spread Functions (PSFs).
Numerical complexity poses a significant challenge for Fourier optics in applications with multiple or out-of-aperture elements.

Purpose of the Study:

To propose and implement an efficient and differentiable propagation model for optical system design.
To overcome the limitations of traditional Fourier optics in complex systems.
To enable optimization of diffractive optical systems with enhanced design freedom.

Main Methods:

Development of a differentiable propagation model based on the Collins integral.
Application of backpropagation for optimizing diffractive optical systems.
Numerical and experimental validation of the proposed method.

Main Results:

Demonstrated engineering of shift-variant PSFs using thin plate elements in arbitrary planes.
Successfully performed cascaded optimization of multiple optical planes.
Designed optimal machine-vision systems through deep learning integration.

Conclusions:

The proposed Collins integral-based model offers an efficient and flexible approach for designing complex diffractive optical systems.
The method enables unprecedented design freedom, including the engineering of shift-variant PSFs and optimization of multi-plane systems.
This work paves the way for advanced applications in optical engineering and machine vision.