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

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...
Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
The design begins with analyzing the beam as a free body to identify moments and force balances, thereby determining support reactions. Next, the designer...
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from the...
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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...
Method of Superposition01:20

Method of Superposition

The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach involves calculating the deflection and slope for each load on a beam separately, and then summing these effects to determine the overall impact. It is applicable only when the beam material remains within its elastic limit, ensuring that deformations are linearly elastic.
When applying the method of superposition, each type of load—whether...
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

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...

You might also read

Related Articles

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

Sort by
Same author

Planar LiTaO(3) waveguides fabricated by proton exchange in concentrated and diluted pyrophosphoric acid with annealing.

Applied optics·2010
Same author

Improved propagation-mode near-field method for refractive-index profiling of optical waveguides.

Applied optics·2010
Same author

Bending-loss studies of a single-mode triangular-index fiber with a depressed cladding ring with a vector-mode method.

Applied optics·2010
Same author

Analysis of metal-clad optical waveguide polarizers by the vector beam propagation method.

Applied optics·2010
Same author

Simple technique for determining substrate indices of isotropic materials by a multisheet Brewster angle measurement.

Applied optics·2010
Same author

Characterization and modeling of planar surface and buried glass waveguides made by field-assisted K(+) ion exchange.

Applied optics·2010
Same journal

Gaussian-modulated continuous-variable quantum key distribution over 60 km fiber using an integrated silicon photonic receiver.

Optics letters·2026
Same journal

E2E-OCT: end-to-end joint learning model using optical coherence tomography images for vocal cord leukoplakia diagnosis.

Optics letters·2026
Same journal

Holographic generation of panoramic 3D scenes by concave ellipsoidal mirror reflection.

Optics letters·2026
Same journal

Dual-pilot phase recovery with pair-wise maximum-ratio combining for coherent PONs.

Optics letters·2026
Same journal

Mapping the whispering gallery modes of a CaF<sub>2</sub> disk resonator with half-tapered fibers to estimate the fundamental mode volume.

Optics letters·2026
Same journal

Quantitative estimation of deep-subwavelength scale via dark-field scattering axial energy concentration decay profiles.

Optics letters·2026
See all related articles

Related Experiment Video

Updated: Jun 19, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Modified finite-difference beam-propagation method based on the Douglas scheme.

L Sun, G L Yip

    Optics Letters
    |October 14, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A new finite-difference beam-propagation method (FD-BPM) significantly reduces errors using the Douglas scheme. This accurate optical waveguide simulation method improves results with no added computation time.

    More Related Videos

    Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
    09:33

    Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces

    Published on: June 7, 2019

    Related Experiment Videos

    Last Updated: Jun 19, 2026

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
    09:43

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

    Published on: March 20, 2017

    Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
    09:33

    Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces

    Published on: June 7, 2019

    Area of Science:

    • Photonics and Waveguide Optics
    • Computational Electromagnetics
    • Numerical Methods in Physics

    Background:

    • The finite-difference beam-propagation method (FD-BPM) is crucial for simulating optical devices.
    • Conventional FD-BPM methods often suffer from significant transverse truncation errors, limiting simulation accuracy.
    • Improving the accuracy of FD-BPM is essential for precise optical waveguide and directional coupler design.

    Purpose of the Study:

    • To present a modified finite-difference beam-propagation method (FD-BPM) with enhanced accuracy.
    • To reduce the transverse truncation error of the FD-BPM to o(Deltax)(4).
    • To demonstrate that accuracy improvements can be achieved without increasing computational cost.

    Main Methods:

    • Implementation of a modified finite-difference beam-propagation method (FD-BPM).
    • The modification is based on the Douglas scheme for improved numerical stability and accuracy.
    • The method's truncation error in the transverse direction is analyzed and shown to be o(Deltax)(4).

    Main Results:

    • The modified FD-BPM achieves a transverse truncation error of o(Deltax)(4), a significant improvement over the conventional o(Deltax)(2).
    • Numerical simulations for a slab optical waveguide and a directional coupler demonstrate the method's effectiveness.
    • The enhanced accuracy is achieved with only minor programming adjustments and no additional computation time.

    Conclusions:

    • The modified FD-BPM based on the Douglas scheme offers superior accuracy for optical waveguide simulations.
    • This method provides a computationally efficient way to improve the precision of beam propagation analysis.
    • The presented technique is advantageous for the design and analysis of integrated optical devices.