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

Vector Algebra: Method of Components

Vector Algebra: Method of Components

It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...

Properties of Enantiomers and Optical Activity

Properties of Enantiomers and Optical Activity

It is essential to understand the difference between chiral and achiral interactions and the implications thereof in optical activity and their applications. Just as our feet, which are chiral, interact uniquely with chiral objects, such as a pair of shoes, but identically with achiral socks, enantiomers of a molecule exhibit different properties only when they interact with other chiral media. An example of a significant implication from this facet is the phenomenon known as optical activity,...

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT) is an advanced Nuclear Magnetic Resonance (NMR) technique specifically designed to detect and enhance the signals of low-abundance nuclei, such as carbon-13 and nitrogen-15, in small molecules. The fundamental principle behind INEPT is the transfer of polarization from a more abundant and highly polarizable nucleus, typically hydrogen-1, to the low-abundance nucleus of interest. This process effectively boosts the NMR signal of the...

Imaging Biological Samples with Optical Microscopy

Imaging Biological Samples with Optical Microscopy

Optical microscopy uses optic principles to provide detailed images of samples. Antonie van Leeuwenhoek designed the first compound optical microscope in the 17th century to visualize blood cells, bacteria, and yeast cells. In 1830, Joseph Jackson Lister created an essentially modern light microscope. The 20th century saw the development of microscopes with enhanced magnification and resolution.
In optical microscopy, the specimen to be viewed is placed on a glass slide and clipped on the stage...

Vector or Cross Product

Vector or Cross Product

Vector multiplication of two vectors yields a vector product, with the magnitude equal to the product of the individual vectors multiplied by the sine of the angle between both the vectors and the direction perpendicular to both the individual vectors. As there are always two directions perpendicular to a given plane, one on each side, the direction of the vector product is governed by the right-hand thumb rule.
Consider the cross product of two vectors. Imagine rotating the first vector about...

Vector Algebra: Graphical Method

Vector Algebra: Graphical Method

Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...

You might also read

Related Articles

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

Sort by

Same author

Roadmap on digital holography [Invited].

Optics express·2021

Same author

Parallel algorithms and architectures based on pipelined optical buses.

Applied optics·2010

Same author

Interferometric atmospheric refractive-index environmental monitor.

Applied optics·2010

Same author

Regular geometries for folded optical modules.

Applied optics·2010

Same author

Dynamics of hologram recording in DuPont photopolymer.

Applied optics·2010

Same author

Concentrators for focal-plane arrays.

Applied optics·2010

Search research articles

Related Experiment Video

Updated: Jun 14, 2026

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Published on: November 21, 2019

Eigenvector determination by noncoherent optical methods.

H J Caulfield, D Dvore, J W Goodman

|March 25, 2010

Summary

This summary is machine-generated.

This study introduces an iterative optical method for calculating matrix eigenvalues and eigenvectors. It utilizes incoherent optical matrix-vector multiplication with electronic feedback for efficient computation.

More Related Videos

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

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

Published on: August 12, 2013

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Published on: March 1, 2024

Related Experiment Videos

Last Updated: Jun 14, 2026

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Published on: November 21, 2019

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

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

Published on: August 12, 2013

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Published on: March 1, 2024

Area of Science:

Physics
Computer Science
Engineering

Background:

Eigenvalue and eigenvector computation is fundamental in linear algebra and various scientific fields.
Traditional numerical methods can be computationally intensive for large matrices.

Purpose of the Study:

To present a novel iterative method for determining matrix eigenvalues and eigenvectors.
To leverage optical processing for enhanced computational efficiency.

Main Methods:

The method employs incoherent optical matrix-vector multiplication.
Simple electronic feedback mechanisms are integrated into the optical system.
An iterative approach refines the results to find eigenvectors and eigenvalues.

Main Results:

The described iterative method successfully finds eigenvectors and eigenvalues.
Optical implementation offers a potential speedup for matrix computations.

Conclusions:

This optical iterative method provides an alternative approach to conventional eigenvalue algorithms.
The integration of optics and electronics offers a promising direction for future computational hardware.