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Related Experiment Video

Updated: Jun 16, 2026

Simulating the Mechanics of Lens Accommodation via a Manual Lens Stretcher

Simulating the Mechanics of Lens Accommodation via a Manual Lens Stretcher

Published on: February 23, 2018

Lens response to extended sources.

G B Brandt, A K Rigler

|January 23, 2010

Summary

This summary is machine-generated.

Numerical calculations show that a lens's frequency response function for Fourier transforms depends on the Gaussian illumination profile's width and the lens-to-input diameter ratio. This provides a guide for designing optical Fourier transform systems.

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Last Updated: Jun 16, 2026

Simulating the Mechanics of Lens Accommodation via a Manual Lens Stretcher

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Whole Mount Imaging to Visualize and Quantify Peripheral Lens Structure, Cell Morphology, and Organization

Whole Mount Imaging to Visualize and Quantify Peripheral Lens Structure, Cell Morphology, and Organization

Published on: January 19, 2024

Area of Science:

Optics
Image Processing
Fourier Optics

Background:

Optical Fourier transform systems are crucial for various applications.
Understanding the frequency response function (FRF) of lenses is essential for accurate system design.
Extended sources with Gaussian profiles are common in optical setups.

Purpose of the Study:

To numerically calculate the FRF of a lens used for Fourier transforming an extended source with Gaussian illumination.
To investigate the influence of Gaussian profile variance and the ratio of lens to input diameters on the FRF.
To compare numerical calculations with experimental measurements for validation.

Main Methods:

Numerical computation of the FRF for a lens performing Fourier transforms.
Modeling source illumination using a Gaussian profile.
Varying the variance of the Gaussian profile and the ratio of lens to input diameters.
Experimental validation using a white spatial frequency noise source.

Main Results:

The lens's FRF is dependent on both the variance (width) of the Gaussian illumination and the ratio of lens to input diameters.
Numerical calculations were found to align with experimental measurements.
The study quantifies the relationship between input parameters and system response.

Conclusions:

The developed numerical model accurately predicts the FRF of optical Fourier transform systems.
The findings offer practical guidance for optimizing the design and evaluation of such systems.
This research contributes to the improved performance and reliability of optical processing.