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

Interference and Diffraction02:18

Interference and Diffraction

51.7K
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
51.7K
Deflection of a Beam01:19

Deflection of a Beam

684
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
684
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

409
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
409
Castigliano's Theorem: Problem Solving01:14

Castigliano's Theorem: Problem Solving

1.2K
The deflection of a simply supported beam that carries a central point load can be analyzed using structural mechanics principles, particularly by applying Castigliano's theorem. This theorem relates the displacement at the load application point to the partial derivatives of the strain energy in the structure. The simply supported beam with a point load at its center has symmetric reaction forces at the supports, each bearing half of the load. The bending moment at any point along the beam is...
1.2K
Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

729
Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
729
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

498
The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
498

You might also read

Related Articles

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

Sort by
Same author

Coherent OAM generation from discrete chaotic phase surfaces.

Scientific reports·2026
Same author

Bridging statistical scattering and aberration theory: ray deflection function-II: numerical validation.

Applied optics·2026
Same author

Photonic spectral horizons for spin-orbit conversion.

Optics express·2026
See all related articles

Related Experiment Video

Updated: Jan 17, 2026

Measuring the Behavioral Effects of Intraocular Scatter
05:10

Measuring the Behavioral Effects of Intraocular Scatter

Published on: February 18, 2021

3.8K

Bridging statistical scattering and aberration theory: ray deflection function-I: theoretical framework.

Netzer Moriya

    Applied Optics
    |September 22, 2025
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a ray deflection function (RDF) to model surface roughness. This framework connects surface imperfections to optical aberrations for better simulation of imperfect optical systems.

    More Related Videos

    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
    06:49

    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

    Published on: March 2, 2021

    6.7K
    Scattering And Absorption of Light in Planetary Regoliths
    11:34

    Scattering And Absorption of Light in Planetary Regoliths

    Published on: July 1, 2019

    10.9K

    Related Experiment Videos

    Last Updated: Jan 17, 2026

    Measuring the Behavioral Effects of Intraocular Scatter
    05:10

    Measuring the Behavioral Effects of Intraocular Scatter

    Published on: February 18, 2021

    3.8K
    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
    06:49

    In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

    Published on: March 2, 2021

    6.7K
    Scattering And Absorption of Light in Planetary Regoliths
    11:34

    Scattering And Absorption of Light in Planetary Regoliths

    Published on: July 1, 2019

    10.9K

    Area of Science:

    • Optical Engineering
    • Surface Metrology
    • Computational Optics

    Background:

    • Surface roughness significantly impacts optical system performance.
    • Existing models often treat scattering and deterministic aberrations separately.
    • A unified approach is needed to integrate surface effects into optical design.

    Purpose of the Study:

    • To introduce a novel conceptual framework recasting surface roughness as a ray deflection function (RDF).
    • To develop a method for statistically representing RDF using a modified Zernike-Fourier hybrid approach.
    • To bridge probabilistic scattering theory with deterministic aberration analysis for optical systems.

    Main Methods:

    • Developed a modified Zernike-Fourier hybrid approach.
    • Established a direct mathematical link between the power spectral density (PSD) of surface imperfections and statistical aberration coefficients.
    • Utilized spectral overlap integration for analysis.

    Main Results:

    • Successfully recast surface roughness effects as a statistically represented ray deflection function (RDF).
    • Demonstrated a direct connection between PSD and statistical aberration coefficients.
    • Created a formalism integrating surface roughness with other optical aberrations.

    Conclusions:

    • The proposed framework offers computational advantages for ray-tracing simulations.
    • It maintains statistical fidelity to established scattering models.
    • Enables accurate prediction of the 3D structure of imperfect focal bodies in optical systems.