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

Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

1.4K
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...
1.4K
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

2.5K
Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
2.5K
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

1.1K
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...
1.1K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

10.0K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
10.0K
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

4.5K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
4.5K
Gravitation Between Spherically Symmetric Masses01:14

Gravitation Between Spherically Symmetric Masses

1.5K
The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
1.5K

You might also read

Related Articles

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

Sort by
Same author

[Effects of a glucocorticoid on development of kidney deficiency syndrome in a rat model of asthma].

Zhong xi yi jie he xue bao = Journal of Chinese integrative medicine·2010
Same author

[A case of respiratory epithelial adenomatoid hamartoma in nasal cavity.].

Zhonghua er bi yan hou tou jing wai ke za zhi = Chinese journal of otorhinolaryngology head and neck surgery·2010
Same author

[Construct cosmid libraries by isolating large genomic DNA fragments from Monascus ruber].

Wei sheng wu xue bao = Acta microbiologica Sinica·2010
Same author

Retinal tissue engineering using mouse retinal progenitor cells and a novel biodegradable, thin-film poly(e-caprolactone) nanowire scaffold.

Journal of ocular biology, diseases, and informatics·2010
Same author

[Correlation between MR diffusion weighted imaging with malignant degree of rabbit liver VX2 tumor models].

Zhonghua yi xue za zhi·2010
Same author

[Immune response in BALB/c mice immunized with BCG expressing HBV truncated C gene and preS1 gene].

Xi bao yu fen zi mian yi xue za zhi = Chinese journal of cellular and molecular immunology·2010
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

Related Experiment Video

Updated: Apr 3, 2026

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
09:04

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

10.1K

Computational method for transmission eigenvalues for a spherically stratified medium.

Xiaoliang Cheng, Jing Yang

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |September 15, 2015
    PubMed
    Summary
    This summary is machine-generated.

    A new computational method efficiently calculates interior transmission eigenvalues, crucial for understanding acoustic and electromagnetic scattering properties like refractive index in 3D stratified media.

    More Related Videos

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
    11:00

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

    Published on: July 19, 2016

    12.0K
    Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
    09:37

    Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

    Published on: August 26, 2019

    6.2K

    Related Experiment Videos

    Last Updated: Apr 3, 2026

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
    09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    10.1K
    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
    11:00

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

    Published on: July 19, 2016

    12.0K
    Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
    09:37

    Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

    Published on: August 26, 2019

    6.2K

    Area of Science:

    • Computational physics
    • Applied mathematics
    • Wave scattering theory

    Background:

    • Interior transmission eigenvalue problems are vital for determining physical properties in acoustic and electromagnetic scattering.
    • Existing numerical methods are limited due to the problem's nonlinearity and complex structure, particularly for 3D spherically stratified media.
    • Transmission eigenvalues offer insights into material properties such as the index of refraction.

    Purpose of the Study:

    • To develop and present an efficient and effective computational method for solving the interior transmission eigenvalue problem.
    • To focus on the numerical calculation of transmission eigenvalues for 3D spherically stratified media.
    • To overcome the limitations of existing numerical techniques for this nonlinear eigenvalue problem.

    Main Methods:

    • The interior transmission eigenvalue problem is reduced to a second-order ordinary differential equation.
    • Hermite finite elements are applied to the weak formulation of the derived ODE.
    • The nonlinear eigenvalue problem is transformed into a solvable quadratic eigenvalue problem, then a linear system using matrix rewriting.
    • MATLAB's 'eigs' function is utilized for solving the resulting linear system.

    Main Results:

    • The proposed method successfully transforms the nonlinear interior transmission eigenvalue problem into a linear system.
    • The numerical method is demonstrated to be fast and effective for calculating transmission eigenvalues.
    • The approach allows for the computation of multiple transmission eigenvalues simultaneously.

    Conclusions:

    • The developed computational method provides an efficient and effective solution for the interior transmission eigenvalue problem in 3D spherically stratified media.
    • This technique offers a significant advancement over existing numerical methods, enabling the calculation of multiple eigenvalues.
    • The method's speed and effectiveness make it valuable for applications in acoustic and electromagnetic scattering analysis.