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

Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
Influence of Earth's Curvature and Atmospheric Refraction on Leveling01:26

Influence of Earth's Curvature and Atmospheric Refraction on Leveling

During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...
Accuracy, limits, and approximation01:28

Accuracy, limits, and approximation

Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
Focusing of Light in the Eye01:16

Focusing of Light in the Eye

Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...

You might also read

Related Articles

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

Sort by
Same author

A wide posterior release is associated with better kyphosis restoration in the surgical treatment of adolescent idiopathic scoliosis.

Spine deformity·2025
Same author

Kicking Velocity and Effect on Match Performance When using a Smaller, Lighter Ball in Women's Football.

International journal of sports medicine·2016
Same author

Effect of game format on heart rate, activity profile, and player involvement in elite and recreational youth players.

Scandinavian journal of medicine & science in sports·2014
Same author

The biomechanics of kicking in soccer: a review.

Journal of sports sciences·2010
Same author

Optical aberration functions: chromatic aberrations and derivatives with respect to refractive indices for symmetrical systems.

Applied optics·2010
Same author

Evaluating rms spot radii by ray tracing: errata.

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 15, 2026

Comparison of Agreement and Accuracy using Binocular Wavefront Optometer with Autorefractor and Phoropter
05:14

Comparison of Agreement and Accuracy using Binocular Wavefront Optometer with Autorefractor and Phoropter

Published on: September 16, 2025

Automatic computation of optical aberration coefficients.

T B Andersen

    Applied Optics
    |March 18, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a ray tracing method to calculate polynomial functions for optical system analysis. This approach simplifies predicting ray behavior and optical path length for complex systems.

    More Related Videos

    Bringing the Visible Universe into Focus with Robo-AO
    10:35

    Bringing the Visible Universe into Focus with Robo-AO

    Published on: February 12, 2013

    Related Experiment Videos

    Last Updated: Jun 15, 2026

    Comparison of Agreement and Accuracy using Binocular Wavefront Optometer with Autorefractor and Phoropter
    05:14

    Comparison of Agreement and Accuracy using Binocular Wavefront Optometer with Autorefractor and Phoropter

    Published on: September 16, 2025

    Bringing the Visible Universe into Focus with Robo-AO
    10:35

    Bringing the Visible Universe into Focus with Robo-AO

    Published on: February 12, 2013

    Area of Science:

    • Optical Engineering
    • Computational Optics

    Background:

    • Accurate ray tracing is crucial for designing complex optical systems.
    • Existing methods may be computationally intensive or limited in scope for non-rotationally symmetric systems.

    Purpose of the Study:

    • To develop a generalized method for computing ray properties using polynomial functions.
    • To enable the analysis of arbitrary skew rays in optical systems with general surfaces.

    Main Methods:

    • Utilizes ray tracing equations to derive polynomial functions.
    • Applies the method to predict intercepts, tangents, and optical path length.
    • Handles refracting and reflecting surfaces, including diffraction gratings.

    Main Results:

    • Polynomial functions accurately predict ray behavior for complex optical systems.
    • The method encompasses classical aberration coefficients as a subset.
    • Demonstrates extensibility to higher-order polynomial expansions.

    Conclusions:

    • The presented method offers an efficient and versatile tool for optical system analysis.
    • It simplifies the computation of ray properties for systems with non-rotationally symmetric elements.
    • The approach is readily extendable for advanced optical design and aberration analysis.