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

Quadratic Equations01:29

Quadratic Equations

A quadratic equation is an algebraic expression where a variable is raised to the second power and combined with its first power and a constant; all equated to zero. These equations are frequently used to model relationships involving area, motion, and optimization. The general representation of a quadratic equation iswhere a, b, and c are real values, and a is nonzero to ensure the presence of the squared term.One method for solving a quadratic equation involves rewriting it as a product of...
Quadratic Equations in the Complex Number System01:29

Quadratic Equations in the Complex Number System

A quadratic equation in the form ax2+bx+c=0 can have solutions that vary in nature depending on the value of the discriminant, b2−4ac. In this expression, a is the coefficient of the quadratic term x2, b is the coefficient of the linear term x, and c is the constant term. When the discriminant is negative, the equation has no real number solutions. However, by introducing complex numbers through the imaginary unit i, defined by i=-1, these equations can still be solved.The square root of a...
Solvating Effects02:12

Solvating Effects

An understanding of the solvating effect helps rationalize the relation between solvation and acidity of the compound. In addition, this also explains the relative stability of conjugate bases for compounds with different pKa values. This lesson details, in-depth, the principle of solvating effects. The strength of an acid and the stability of its corresponding conjugate base are determined using pKa values. This observed relationship is a consequence of solvation, which is the interaction...
Quadric Surfaces01:28

Quadric Surfaces

Quadric surfaces are three-dimensional surfaces characterized by second-degree equations in the variables x, y, and z. These surfaces are smooth and continuous, and specific combinations of squared and linear terms define their shapes. The main types of quadric surfaces include ellipsoids, cones, paraboloids, and hyperboloids. Each type exhibits distinct geometric features depending on how the variables are arranged and related within the equation.Ellipsoids are closed surfaces formed when all...
Quadratic Models01:23

Quadratic Models

Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

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...

You might also read

Related Articles

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

Sort by
Same author

Beyond the nose: hearing status in 70 patients with congenital choanal atresia.

European journal of pediatrics·2026
Same author

Choanal atresia repair in Germany â€" a comprehensive investigation of the current state of care.

Rhinology·2026
Same author

Qualification of the Low-pressure Cold Gas Spraying for the Additive Manufacturing of Copper-Nickel-Diamond Grinding Wheels.

Journal of thermal spray technology·2024
Same author

[Chronic rhinosinusitis in people with cystic fibrosis-an up-to-date review from the perspective of otorhinolaryngology].

HNO·2024
Same author

Impact of immunogenicity on efficacy and tolerability of tumour necrosis factor inhibitors: pooled analysis of biosimilar studies in rheumatoid arthritis.

Scandinavian journal of rheumatology·2020
Same author

[Social reimbursement-the Spanish-German ENT Society's (SDGHNO) Latin America project].

HNO·2019

Related Experiment Video

Updated: Jul 8, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Interactions between one-dimensional quadratic solitons.

Y Baek, R Schiek, G I Stegeman

    Optics Letters
    |January 12, 2008
    PubMed
    Summary

    Researchers studied how two one-dimensional quadratic solitons interact in lithium niobate waveguides. The experiments covered both parallel and crossing soliton launch configurations.

    Area of Science:

    • Nonlinear optics
    • Waveguide optics
    • Materials science

    Background:

    • Quadratic solitons are self-trapped light beams in nonlinear media.
    • Planar waveguides confine light propagation in two dimensions.
    • Lithium niobate is a key material for nonlinear optical applications.

    Purpose of the Study:

    • To experimentally investigate the interaction dynamics of two one-dimensional quadratic solitons.
    • To analyze soliton behavior in both parallel and crossing launch scenarios within lithium niobate planar waveguides.

    Main Methods:

    • Utilizing a lithium niobate planar waveguide.
    • Launching two one-dimensional quadratic solitons into the waveguide.
    • Varying the relative angle and position of the launched solitons.

    More Related Videos

    Generation and Coherent Control of Pulsed Quantum Frequency Combs
    06:42

    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
    11:03

    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

    Published on: December 4, 2017

    Related Experiment Videos

    Last Updated: Jul 8, 2026

    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
    07:42

    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

    Published on: December 15, 2021

    Generation and Coherent Control of Pulsed Quantum Frequency Combs
    06:42

    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
    11:03

    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

    Published on: December 4, 2017

  • Observing and analyzing the soliton interaction patterns using optical methods.
  • Main Results:

    • Observed distinct interaction patterns for parallel-launched solitons, including attraction and fusion.
    • Characterized the complex dynamics of crossing-launched solitons, demonstrating repulsion and trajectory bending.
    • Quantified the influence of soliton parameters (e.g., intensity, angle) on interaction outcomes.

    Conclusions:

    • The experimental investigation confirms the predicted interaction behaviors of quadratic solitons in a realistic waveguide environment.
    • The findings provide valuable insights into soliton fusion and steering, crucial for all-optical signal processing.
    • Lithium niobate planar waveguides are suitable platforms for studying and harnessing soliton interactions for photonic device applications.