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

Transformations of Functions II01:29

Transformations of Functions II

Transformations in mathematics alter the position or orientation of a function’s graph while preserving its fundamental shape. One important type of transformation is the horizontal shift, which involves modifying the input variable within a function’s equation. This operation affects where outputs occur along the horizontal axis but does not alter the function’s overall structure.A horizontal shift is achieved by replacing the input variable x with either x + c or x - c, where c is a constant.
Thermal Sigmatropic Reactions: Overview01:16

Thermal Sigmatropic Reactions: Overview

Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in 1,5-hexadiene, referred to as...
Position-effect Variegation02:32

Position-effect Variegation

In 1928, a German botanist Emil Heitz observed the moss nuclei with a DNA binding dye. He observed that while some chromatin regions decondense and spread out in the interphase nucleus, others do not. He termed them euchromatin and heterochromatin, respectively. He proposed that the heterochromatin regions reflect a functionally inactive state of the genome. It was later confirmed that heterochromatin is transcriptionally repressed, and euchromatin is transcriptionally active chromatin.
¹H NMR Chemical Shift Equivalence: Enantiotopic and Diastereotopic Protons00:58

¹H NMR Chemical Shift Equivalence: Enantiotopic and Diastereotopic Protons

Replacing each alpha-hydrogen in chloroethane by bromine (or a different functional group) yields a pair of enantiomers. Such protons are called prochiral or enantiotopic and are related by a mirror plane. Enantiotopic protons are chemically equivalent in an achiral environment. Because most proton NMR spectra are recorded using achiral solvents, enantiotopic hydrogens yield a single signal.
In chiral compounds such as 2-butanol, replacing the methylene hydrogens at C3 produces a pair of...
[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement01:21

[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement

The Cope rearrangement is classified as a [3,3] sigmatropic shift in 1,5-dienes, leading to a more stable, isomeric 1,5-diene. The reaction involves a concerted movement of six electrons, four from two π bonds and two from a σ bond, via an energetically favorable chair-like transition state.
Transformations of Functions I01:29

Transformations of Functions I

A function's graph can be modified by changing its position or size without altering its overall shape. These transformations allow the graph to be moved across the coordinate plane while preserving its pattern and structure. One of the most common transformations is shifting, which repositions the graph without distorting it.When the output of a function is adjusted by adding or subtracting a constant, the graph shifts vertically. A positive value moves the graph upward, while a negative value...

You might also read

Related Articles

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

Sort by
Same author

Refracting leaky rays in graded-index fibers.

Applied optics·2010
Same author

Leaky modes on a dielectric waveguide: orthogonality and excitation; erratum.

Applied optics·2010
Same author

Radiation from dielectric optical waveguides: a comparison of techniques.

Applied optics·2010
Same author

Leaky modes on circular optical waveguides.

Applied optics·2010
Same author

Geometric optics limit of Marcuse&s coupled power equations.

Applied optics·2010
Same author

Leaky modes on a dielectric waveguide: orthogonality and excitation.

Applied optics·2010
Same journal

Multifunctional reconfigurable terahertz metasurface based on vanadium dioxide phase transition: achieving broadband absorption and efficient polarization conversion.

Applied optics·2026
Same journal

High-Q-factor electromagnetically induced transparency utilizing quasi-bound states in the continuum in an all-dielectric terahertz metasurface.

Applied optics·2026
Same journal

Automated stitching interferometry for high-precision metrology of X-ray mirrors.

Applied optics·2026
Same journal

Experimental demonstration of an approach to designing a metal-dielectric DBR resonant cavity structure.

Applied optics·2026
Same journal

High-precision wavefront reconstruction from a single-shot interferogram using a physics-driven hybrid feature calibration network.

Applied optics·2026
Same journal

Ultra-high-Q Fano resonance based on coupled topological corner states in Kagome photonic crystals.

Applied optics·2026
See all related articles

Related Experiment Video

Updated: Jun 16, 2026

The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice
09:15

The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice

Published on: February 4, 2015

Goos-Hänchen shift.

A W Snyder, J D Love

    Applied Optics
    |February 16, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a simple method to derive the Goos-Hänchen shift using energy principles. The findings reveal that the shift arises from energy flow across the dielectric boundary.

    More Related Videos

    New Variations for Strategy Set-shifting in the Rat
    09:45

    New Variations for Strategy Set-shifting in the Rat

    Published on: January 23, 2017

    Automated, Quantitative Cognitive/Behavioral Screening of Mice: For Genetics, Pharmacology, Animal Cognition and Undergraduate Instruction
    16:23

    Automated, Quantitative Cognitive/Behavioral Screening of Mice: For Genetics, Pharmacology, Animal Cognition and Undergraduate Instruction

    Published on: February 26, 2014

    Related Experiment Videos

    Last Updated: Jun 16, 2026

    The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice
    09:15

    The Attentional Set Shifting Task: A Measure of Cognitive Flexibility in Mice

    Published on: February 4, 2015

    New Variations for Strategy Set-shifting in the Rat
    09:45

    New Variations for Strategy Set-shifting in the Rat

    Published on: January 23, 2017

    Automated, Quantitative Cognitive/Behavioral Screening of Mice: For Genetics, Pharmacology, Animal Cognition and Undergraduate Instruction
    16:23

    Automated, Quantitative Cognitive/Behavioral Screening of Mice: For Genetics, Pharmacology, Animal Cognition and Undergraduate Instruction

    Published on: February 26, 2014

    Area of Science:

    • Optics
    • Photonics
    • Condensed Matter Physics

    Background:

    • The Goos-Hänchen shift describes the transverse displacement of a reflected light beam at an interface.
    • Understanding this phenomenon is crucial for optical systems and waveguide design.

    Purpose of the Study:

    • To provide a simplified derivation of the Goos-Hänchen shift.
    • To elucidate the physical mechanism behind the shift in various optical configurations.

    Main Methods:

    • Derivation based on energy considerations.
    • Utilized Fresnel's equations for reflection at dielectric interfaces.
    • Applied to total internal reflection at plane interfaces and optical waveguides (plane and circular).

    Main Results:

    • An extremely simple derivation of the Goos-Hänchen shift is achieved.
    • The derivation explicitly demonstrates that the shift is caused by energy flow across the dielectric boundary.
    • The method is applicable to both plane interfaces and optical waveguides.

    Conclusions:

    • The energy flow across a dielectric boundary is the fundamental cause of the Goos-Hänchen shift.
    • This simplified approach offers a clear physical insight into the phenomenon.