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

Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

1.1K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
1.1K
Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

4.3K
Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
4.3K
Dielectric Polarization in a Capacitor01:31

Dielectric Polarization in a Capacitor

4.6K
The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
4.6K
Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

430
James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and...
430
Electromagnetic Waves in Matter01:30

Electromagnetic Waves in Matter

3.0K
Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the...
3.0K
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

128
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
128

You might also read

Related Articles

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

Sort by
Same author

A mixed-field formulation for modeling dielectric ring resonators and its application in optical frequency comb generation.

Scientific reports·2025
Same author

Sources of nonlinearity and mitigation of phase noise in MUTC photodetectors at comb-line frequencies.

Optics express·2025
Same author

Study of an <math></math> phototransistor using a compact numerical method enabling detailed analysis of 2D material phototransistors.

Scientific reports·2024
Same author

Sirolimus-Induced Diffuse Alveolar Hemorrhage: A Case Report.

American journal of therapeutics·2016
Same author

Using dark states for exciton storage in transition-metal dichalcogenides.

Journal of physics. Condensed matter : an Institute of Physics journal·2015
Same author

Visibility of atomically-thin layered materials buried in silicon dioxide.

Nanotechnology·2015

Related Experiment Video

Updated: Jun 15, 2025

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

7.9K

Practical vectorial mode solver for dielectric waveguides based on finite differences.

Ergun Simsek

    Optics Letters
    |June 13, 2025
    PubMed
    Summary

    A new numerical solver accurately models dielectric waveguides using a finite-difference method for electric fields. This approach enhances boundary condition enforcement and reduces errors for precise propagation constant and mode profile calculations.

    More Related Videos

    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

    12.3K
    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

    18.9K

    Related Experiment Videos

    Last Updated: Jun 15, 2025

    Characterization of Anisotropic Leaky Mode Modulators for Holovideo
    09:36

    Characterization of Anisotropic Leaky Mode Modulators for Holovideo

    Published on: March 19, 2016

    7.9K
    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

    12.3K
    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

    18.9K

    Area of Science:

    • Computational electromagnetics
    • Waveguide theory
    • Numerical analysis

    Background:

    • Dielectric waveguides are crucial in photonics and optical communications.
    • Accurate modeling of wave propagation is essential for device design.
    • Existing numerical methods can struggle with boundary conditions and discontinuities.

    Purpose of the Study:

    • To develop a robust finite-difference numerical solver for vector-wave equations.
    • To implement an electric field formulation for enhanced accuracy.
    • To improve the handling of boundary conditions and reduce numerical artifacts.

    Main Methods:

    • Finite-difference numerical solver
    • Generalized eigenvalue problem formulation
    • Incorporation of all three electric field components
    • Self-consistent formulation for boundary conditions

    Main Results:

    • Accurate computation of propagation constants.
    • Precise calculation of mode profiles.
    • Reduced numerical artifacts at permittivity discontinuities.
    • Validation using two representative waveguide structures

    Conclusions:

    • The developed solver accurately models dielectric waveguides.
    • The electric field formulation improves boundary condition enforcement.
    • This method offers a reliable tool for waveguide analysis and design.