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Fast numerical propagation in high-NA imaging using the resampling angular spectrum method.

|November 11, 2022

Summary

This summary is machine-generated.

We developed a faster numerical propagation method, the resampling angular spectrum method (RS-ASM), for optical engineering. RS-ASM accelerates calculations and enhances signal-to-noise ratio (SNR) compared to the standard angular spectrum method (ASM).

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Area of Science:

Optical Engineering
Computational Optics
Image Processing

Background:

Numerical propagation calculation is crucial in optical engineering.
The standard angular spectrum method (ASM) is accurate but computationally intensive, particularly for high-NA systems.
Efficient numerical propagation methods are needed to overcome the limitations of ASM.

Purpose of the Study:

To propose a fast and simple numerical propagation method, the resampling ASM (RS-ASM).
To accelerate numerical propagation calculations while maintaining accuracy.
To enhance the signal-to-noise ratio (SNR) in optical propagation simulations.

Main Methods:

Developed the resampling ASM (RS-ASM) by integrating a resampling technique with interpolation in the angular spectrum domain.
Validated RS-ASM through theoretical analysis, numerical simulations, and experimental verification.
Applied RS-ASM to Gerchberg-Saxton phase reconstruction for performance comparison.

Main Results:

RS-ASM offers simple implementation, faster computation, and improved SNR compared to standard ASM.
The "bilinear" RS-ASM achieved speed-up factors of up to 20x and 4x for different transformations.
A 2x SNR improvement was observed with the "bilinear" RS-ASM.
RS-ASM demonstrated 2.6x faster convergence in Gerchberg-Saxton phase reconstruction.

Conclusions:

RS-ASM is an effective and efficient alternative to the standard ASM for numerical propagation.
The proposed method significantly reduces computation time and enhances SNR in optical simulations.
RS-ASM shows practical benefits for applications like phase reconstruction.