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

Deflection of a Beam01:19

Deflection of a Beam

863
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...
863
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

478
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...
478
Radiation Pressure: Problem Solving01:09

Radiation Pressure: Problem Solving

943
The radiation pressure applied by an electromagnetic wave on a perfectly absorbing surface equals the energy density of the wave. The wave's momentum also gets transferred to the surface when an electromagnetic wave is entirely absorbed by it. The rate at which momentum is transmitted to an absorbing surface perpendicular to the propagation direction equals the force on the surface.
The average value of the rate of momentum transfer divided by the absorbing area represents the average force...
943
Maximum Deflection01:13

Maximum Deflection

1.1K
When analyzing beams under unsymmetrical loads, such as a train moving on a bridge, it is crucial to accurately determine the points of maximum stress and deflection. The process involves identifying the maximum deflection of the beam, which may not always occur at its midpoint due to the uneven distribution of the load.
The maximum deflection occurs at a specific point, known as point O, where the tangent to the deflection curve is horizontal. To find point O, the slope of the tangent at any...
1.1K
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

1.2K
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
1.2K
Second Derivative Test: Problem Solving01:24

Second Derivative Test: Problem Solving

140
In mathematical analysis, finding a function's highest and lowest points is crucial for understanding its behavior. These points, known as critical points, occur where the first derivative is either zero or undefined. Critical points are potential local maxima and minima locations, which can be classified using the Second Derivative Test. However, not every critical point corresponds to a local maximum or minimum. The second derivative is analyzed to classify these points. The second derivative...
140

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

Photonic spectral horizons for spin-orbit conversion.

Optics express·2026
Same author

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

Applied optics·2025
See all related articles

Related Experiment Video

Updated: Mar 19, 2026

Subjective Refraction Test Using a Smartphone for Vision Screening
05:36

Subjective Refraction Test Using a Smartphone for Vision Screening

Published on: October 18, 2024

2.0K

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

Netzer Moriya

    Applied Optics
    |March 17, 2026
    PubMed
    Summary
    This summary is machine-generated.

    A new ray deflection function (RDF) approach models surface roughness in optical systems. This method statistically equates to the Harvey-Shack (HS) model, validating roughness as deterministic aberration terms.

    More Related Videos

    Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging
    11:27

    Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging

    Published on: April 4, 2013

    12.9K
    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
    11:34

    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

    Published on: September 8, 2016

    10.8K

    Related Experiment Videos

    Last Updated: Mar 19, 2026

    Subjective Refraction Test Using a Smartphone for Vision Screening
    05:36

    Subjective Refraction Test Using a Smartphone for Vision Screening

    Published on: October 18, 2024

    2.0K
    Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging
    11:27

    Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging

    Published on: April 4, 2013

    12.9K
    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
    11:34

    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

    Published on: September 8, 2016

    10.8K

    Area of Science:

    • Optical Engineering
    • Surface Metrology
    • Computational Optics

    Background:

    • Modeling surface roughness effects in optical systems is crucial for accurate performance prediction.
    • Traditional methods include statistical scattering models (e.g., Harvey-Shack) and deterministic aberration analysis, which are often treated separately.
    • A novel ray deflection function (RDF) approach has been developed to bridge these domains.

    Purpose of the Study:

    • To experimentally validate the recently developed ray deflection function (RDF) approach for modeling surface roughness in optical systems.
    • To demonstrate the equivalence between the RDF methodology and conventional statistical scattering theories.
    • To establish a framework for converting surface roughness specifications into aberration budgets.

    Main Methods:

    • Geometrical ray-tracing simulations were performed.
    • A parabolic mirror with surface imperfections was modeled using three approaches: an ideal baseline, the Harvey-Shack (HS) statistical scattering theory, and the RDF-based aberration term method.
    • Near-focal-plane distributions and focal volume characteristics were compared.

    Main Results:

    • The RDF-based aberration term method was found to be statistically equivalent to the conventional Harvey-Shack (HS) approach.
    • Both methods produced similar near-focal-plane distributions and focal volume characteristics.
    • The RDF approach successfully bridges statistical scattering and deterministic aberration analysis.

    Conclusions:

    • Surface roughness effects in optical systems can be accurately represented as deterministic aberration terms.
    • The RDF method provides a validated framework for translating frequency-domain roughness specifications (PSD) into pupil-aberration statistics and system image-quality metrics.
    • This enables direct conversion between BSDF-style surface specifications and aberration budgets, unifying modeling approaches.