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

Wedges01:24

Wedges

A wedge is a simple machine that serves various purposes, such as adjusting the elevation of structural or mechanical parts, providing stability for heavy objects, and splitting a body into two parts. This versatile tool can amplify an applied force, making it easier to manipulate large or heavy objects.
Consider using a wedge to lift a heavy slab. Here, the wedge functions by converting the applied force into a much larger force directed almost perpendicular to the initial force. This...
Indeterminate Structure01:18

Indeterminate Structure

Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static equilibrium.  Indeterminate structures have more unknown forces and reaction forces than equations of static equilibrium that can be used to determine them. Indeterminate structures are often used in engineering to create complex, efficient, and aesthetically pleasing structures. There are various types of indeterminate structures used in engineering and some...
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and stress...
Determination of Crystal Structures01:29

Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these areas.
Load along a Single Axis01:29

Load along a Single Axis

In structural engineering, the analysis of beams subjected to varying loads is a critical aspect of understanding the behavior and performance of these structural elements. A common scenario involves a beam subjected to a combination of different load distributions.
Consider a beam of length L subjected to a varying load, which is a combination of parabolic and trapezoidal load distribution along the x-axis. In this case, it is essential to determine the resultant loads, their locations, and...

You might also read

Related Articles

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

Sort by
Same author

An Ultra-Broadband High Efficiency Polarization Beam Splitter for High Spectral Resolution Polarimetric Imaging in the Near Infrared.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2022
Same author

One-kilojoule pulsed-power generator for laboratory space sciences.

The Review of scientific instruments·2022
Same author

Optical design of GaN/In(x)Ga(1-x)N/cSi tandem solar cells with triangular diffraction grating.

Optics express·2015
Same author

Gain-guided index-antiguided fiber with a Fabry-Perot layer for large mode area laser amplifiers.

Optics express·2015

Related Experiment Video

Updated: Jun 13, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
10:35

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Arbitrary-order interface conditions for slab structures and their applications in waveguide analysis.

Yih-Peng Chiou1, Cheng-Han Du

  • 1Graduate Institute of Photonics and optoelectronics, National Taiwan University, Taipei 106-17, Taiwan.

Optics Express
|April 15, 2010
PubMed
Summary
This summary is machine-generated.

This study develops higher-order finite-difference methods for analyzing wave propagation in slab structures. These advanced techniques significantly improve accuracy and reduce computational resources for waveguide analysis.

More Related Videos

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

Related Experiment Videos

Last Updated: Jun 13, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
10:35

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

Area of Science:

  • Electromagnetics and Wave Propagation
  • Computational Physics
  • Materials Science

Background:

  • Continuity relations are crucial for modeling electromagnetic wave behavior at interfaces.
  • Existing finite-difference methods often struggle with accuracy and computational cost for complex waveguide structures.
  • Higher-order approximations are needed to capture intricate wave phenomena in advanced optical devices.

Purpose of the Study:

  • To extend continuity relations for field derivatives to arbitrary orders for transverse electric and magnetic waves.
  • To develop a higher-order finite-difference formulation for analyzing guided modes in slab waveguides.
  • To enhance computational efficiency and accuracy in electromagnetic wave simulations.

Main Methods:

  • Systematic derivation of interface conditions for arbitrary order derivatives.
  • Application of Taylor series expansion to develop higher-order finite-difference schemes.
  • Incorporation of the Generalized Douglas scheme to improve error convergence by two orders.
  • Numerical solution of guided modes in simple and multiple quantum well waveguides using the developed formulation.

Main Results:

  • The developed finite-difference formulation achieves high-order truncation error (up to tenth order).
  • Accurate results for guided modes were obtained in both simple and multiple quantum well waveguides.
  • Significant reduction in sampled points, computation time, and memory usage was observed compared to lower-order methods.
  • Validation of the higher-order schemes' effectiveness in complex waveguide scenarios.

Conclusions:

  • The higher-order finite-difference formulation provides a computationally efficient and accurate method for analyzing guided modes in slab waveguides.
  • The approach effectively handles abrupt interfaces and arbitrary order field derivatives.
  • This work offers a valuable tool for the design and simulation of advanced optical and photonic devices.