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 Experiment Videos

Adaptive finite-element method for diffraction gratings.

Gang Bao1, Zhiming Chen, Haijun Wu

  • 1Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, USA. bao@math.msu.edu

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|June 30, 2005
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Entropy-Enabled Hierarchical Defect Architecture for Dual Enhancement of Thermoelectric and Mechanical Performance in SnTe Alloys.

Advanced materials (Deerfield Beach, Fla.)·2026
Same author

AtHSPR Plays a Positive Role in Arabidopsis Resistance Against <i>Pseudomonas syringae</i> pv. <i>tomato</i> DC3000 by Interacting with TOP1.

Biomolecules·2026
Same author

Case Report of Combined Central and Peripheral Demyelination: Treated With Ofatumumab.

Immunity, inflammation and disease·2026
Same author

Comparison Between Titanium and Polyether Ether Ketone Cranioplasty Based on Preoperative Imaging Indicators and Analysis of Risk Factors for Postoperative Adverse Events.

World neurosurgery·2026
Same author

Systematic analyses to explore kinase gene set-based signature in glioma, in which WEE1 contributes to tumor progression.

Discover oncology·2026
Same author

Sequential manifestation of Kaposi's sarcoma and diffuse large B-cell lymphoma in the context of HIV infection: Case report of a rare presentation.

Medicine·2026
Same journal

Multi-module collaborative optimization-driven fast speckle correlation imaging in variable environments.

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

Secrecy performance analysis of NOMA-UWOC systems over a vertically stratified WGG oceanic turbulence channel.

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

Backscattering of plane waves in a composite system containing a rough surface and anisotropic scatterers.

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

Aspherical surface construction methods based on extended Jacobi polynomials.

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

OCT sidelobe suppression method based on dual-path phase sinusoidal modulation and minimum value fusion.

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

Optical design concepts using wavelength-selective diffractive optics to enable miniaturized multimodal endoscopic imaging across separated spectral ranges.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
See all related articles

This study introduces an adaptive finite-element method with error control for grating problems. It enhances accuracy and efficiency by optimizing perfectly-matched-layer parameters using error estimates.

Area of Science:

  • Computational electromagnetics
  • Numerical analysis
  • Applied mathematics

Background:

  • Grating problems are crucial in optics and photonics.
  • Accurate numerical solutions for these problems are computationally intensive.
  • Existing methods often struggle with unbounded domains and efficiency.

Purpose of the Study:

  • To develop a second-order finite-element adaptive strategy with error control for one-dimensional grating problems.
  • To improve the accuracy and computational efficiency of numerical solutions.
  • To effectively handle unbounded computational domains.

Main Methods:

  • A second-order finite-element adaptive strategy with a posteriori error estimation.
  • Truncation of the unbounded computational domain using a perfectly-matched-layer (PML) technique.

Related Experiment Videos

  • Optimization of PML parameters (thickness, medium properties) based on error estimates.

    • Main Results:

    • The proposed adaptive finite-element method significantly enhances discretization accuracy.
    • Improved computational efficiency and reduced computation costs are demonstrated.
    • Numerical experiments validate the competitiveness of the adaptive strategy.

    Conclusions:

    • The developed adaptive finite-element strategy offers a robust and efficient solution for one-dimensional grating problems.
    • Error control and optimized PML parameters are key to achieving high accuracy and efficiency.
    • This method presents a competitive alternative for computational electromagnetics and related fields.