Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Derivatives of Inverse Trigonometric Functions

Derivatives of Inverse Trigonometric Functions

A ship tracking an approaching aircraft relies on geometric measurements to find out the aircraft’s position relative to the observer. By measuring the slant distance to the aircraft and the angle of elevation, the horizontal and vertical components of the distance can be obtained using trigonometric relationships. This geometric approach provides a basis for analyzing how the observed angle changes as the aircraft moves closer to the ship.To examine the mathematical behavior of the angle of...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Fe(II)-driven abiotic-biotic relay alleviates denitrification bottleneck via chemical nitrite reduction and intracellular carbon.

Water research·2026

Same author

The overlooked risk of horizontal transfer of plasmid-borne antibiotic resistance genes induced by organophosphate esters in aquaculture environments.

Water research·2026

Same author

Ecological plasticity of <i>Halanaerobium</i> microorganisms across terrestrial saline to hypersaline subsurface environments.

Microbiology spectrum·2026

Same author

Lipid nanoparticle composition directs systemic trafficking and tissue-specific T cell immunity after intramuscular injection.

Nature biomedical engineering·2026

Same author

Differential sulfur activity governs electroreductive decomplexation of Cu(II)-EDTA for simultaneous copper and ligand recovery.

Water research·2026

Same author

Construction and verification of 5-year survival prediction model for post-op ESCC patients.

Frontiers in oncology·2026

Same journal

Denoising algorithm of Φ-OTDR systems based on adaptive fractional wavelet transform denoising.

Optics express·2026

Same journal

Millisecond photon-to-photon latency and high-speed volumetric projection system for optogenetics.

Optics express·2026

Same journal

Polarization-encoded coaxial structured light for high-precision 3D surface profilometry.

Optics express·2026

Same journal

Discrete freeform optical design based on collaborative optimization of point cloud and local normals.

Optics express·2026

Same journal

Ultrafast ghost imaging with 25 GHz speckle switching and wavelength-division multiplexing.

Optics express·2026

Same journal

Atomic vapor cells fabricated by femtosecond laser welding of standard-optical-quality glass.

Optics express·2026

See all related articles

Search research articles

Related Experiment Video

Updated: May 10, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Fast sensitivity control method with differentiable optics.

Zheng Ren, Wenguan Zhang, Tingting Jiang

|August 13, 2025

Summary

This summary is machine-generated.

This study presents a fast method to control lens tolerance sensitivity in differentiable optics. It ensures stable optical system performance despite manufacturing variations, crucial for computational imaging.

More Related Videos

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Related Experiment Videos

Last Updated: May 10, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Area of Science:

Optics and Photonics
Computational Imaging
Machine Learning

Background:

Differentiable optics combines optical design with image processing for joint optimization.
Controlling lens tolerance sensitivity during optimization is a significant challenge, leading to performance degradation.
Existing methods struggle to effectively manage sensitivity to manufacturing and assembly tolerances.

Purpose of the Study:

To propose a fast sensitivity control method for differentiable optics.
To address tolerance sensitivity, uniformity of degradation, and boundary symmetry.
To enable robust joint optimization of optical systems and neural networks.

Main Methods:

Developed a sensitivity control method tailored for various optical models.
Employed wavefront-focusing to enhance optimization stability by compensating for defocus.
Utilized the optical path differential method to reduce computational costs by avoiding repeated ray tracing.

Main Results:

Successfully validated the method on advanced wide-angle and telephoto smartphone lenses.
Demonstrated effective control over tolerance sensitivity, uniformity, and symmetry.
Achieved significant reduction in computational costs compared to traditional methods.

Conclusions:

The proposed method offers a practical solution for desensitization optimization in differentiable optics.
Enables more reliable joint design of optical systems and neural networks for computational imaging.
Opens new avenues for optical desensitization in advanced imaging applications.