Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

7.8K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
7.8K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

7.3K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half...
7.3K
Kepler's First Law of Planetary Motion01:10

Kepler's First Law of Planetary Motion

3.9K
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. He formulated his first two laws based on the observations of his forebears, Nikolaus Copernicus and Tycho Brahe.
Polish astronomer Nikolaus Copernicus put forth a theory that stated a heliocentric model for the solar system. According to this heliocentric theory, all the planets, including Earth, orbit the Sun in circular orbits.
On the other hand,...
3.9K
Geoid and Ellipsoid01:28

Geoid and Ellipsoid

24
The Earth's shape is best described as an ellipsoid, a slightly flattened sphere created by rotating an ellipse around its minor axis. This flattening results in the polar axis being about 21 kilometers shorter than the equatorial axis. In contrast, the geoid represents the Earth's gravitational shape and aligns with the mean sea level (MSL). The geoid is an irregular equipotential surface where gravity is perpendicular at every point. Variations in Earth's mass distribution cause geoid...
24
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

7.4K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
7.4K
Kepler's Second Law of Planetary Motion01:29

Kepler's Second Law of Planetary Motion

4.1K
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. His first law states that all planets orbit the Sun in an elliptical orbit, with the Sun at one of the ellipse's foci. Therefore, the distance of a planet from the Sun varies throughout its revolution around the Sun.
While in an elliptical orbit, the total energy of the planet is conserved. Therefore, the planet slows down when it is at apogee and...
4.1K

You might also read

Related Articles

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

Sort by
Same author

Snapshot spectral fringe projection profilometry.

Applied optics·2026
Same author

Geometric phase of rotations and 3D coordinate transformations.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same author

Wide spectral imaging of the rainbow from ultraviolet to infrared and locating the spectral limits of the rainbow.

Applied optics·2026
Same author

Ultrasound cholesteric liquid crystal color filter.

Optics letters·2025
Same author

Real-Time Quantification of Gas Leaks Using a Snapshot Infrared Spectral Imager.

Sensors (Basel, Switzerland)·2025
Same author

Fourier-domain filtering analysis for color-polarization camera demosaicking: publisher's note.

Applied optics·2024

Related Experiment Video

Updated: May 30, 2025

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

42.7K

Evolution of geometric phase and explaining the geodesic rule.

Nathan Hagen, Luis Garza-Soto

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |January 31, 2025
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a wave model for geometric phase, explaining polarization evolution in optical systems and refining the Poincaré sphere solid angle method. It clarifies differences between geometric phase and the Pancharatnam connection.

    More Related Videos

    Creating Objects and Object Categories for Studying Perception and Perceptual Learning
    14:38

    Creating Objects and Object Categories for Studying Perception and Perceptual Learning

    Published on: November 2, 2012

    11.8K
    Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
    06:57

    Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

    Published on: July 17, 2020

    2.1K

    Related Experiment Videos

    Last Updated: May 30, 2025

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
    13:44

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

    Published on: August 30, 2013

    42.7K
    Creating Objects and Object Categories for Studying Perception and Perceptual Learning
    14:38

    Creating Objects and Object Categories for Studying Perception and Perceptual Learning

    Published on: November 2, 2012

    11.8K
    Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
    06:57

    Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

    Published on: July 17, 2020

    2.1K

    Area of Science:

    • Optics and Photonics
    • Wave Physics
    • Quantum Information

    Background:

    • Geometric phase is crucial for understanding wave evolution in optical systems.
    • The conventional Poincaré sphere method uses solid angles but has limitations regarding path descriptions.

    Purpose of the Study:

    • To introduce and apply a wave model for tracking geometric phase evolution.
    • To provide a physical explanation for the 'geodesic rule' in the Poincaré sphere method.
    • To differentiate between the Pancharatnam connection and wave geometric phase.

    Main Methods:

    • Utilizing a recently developed wave model based on geometric phase.
    • Analyzing wave propagation through optical elements and systems.
    • Directly working with wave properties to derive explanations.

    Main Results:

    • A natural explanation for why the Poincaré sphere method requires geodesic paths was found.
    • The incompleteness of existing solid angle algorithm rules was demonstrated.
    • Key distinctions between the Pancharatnam connection and wave geometric phase were clarified.

    Conclusions:

    • The wave model offers a more complete understanding of geometric phase evolution.
    • The study refines the application of the Poincaré sphere method.
    • It provides a clearer theoretical framework for geometric phase in optics.