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Related Concept Videos

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

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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...
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Quadratic Equations in the Complex Number System01:29

Quadratic Equations in the Complex Number System

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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...
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Energy Bands in Solids01:01

Energy Bands in Solids

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Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
 Band Formation:
When atoms are brought close together, as in a solid, these discrete energy levels begin to split due to the overlap of electron orbitals from adjacent atoms. This split occurs because of the Pauli exclusion principle, which states...
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Second Uniqueness Theorem01:16

Second Uniqueness Theorem

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Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Vector quartic solitons in birefringent fibers.

Kangjun Zhao, Chenxin Gao, Xiaosheng Xiao

    Optics Letters
    |February 12, 2021
    PubMed
    Summary

    This study explores vector quartic solitons in optical fibers, revealing they maintain Gaussian shapes with altered properties like lower peak power and frequency shifts. These findings enhance understanding and applications of vector solitons.

    Area of Science:

    • Nonlinear Optics
    • Fiber Optics
    • Soliton Physics

    Background:

    • Solitons are self-reinforcing wave packets crucial in optical communications.
    • Quartic solitons extend the understanding of soliton dynamics beyond traditional models.
    • Vector solitons involve multiple polarization states, adding complexity to their behavior.

    Purpose of the Study:

    • To theoretically investigate the vector properties of quartic solitons.
    • To analyze VQS behavior in birefringent and mode-locked fiber systems.
    • To explore the formation and dynamics of VQSs.

    Main Methods:

    • Theoretical investigation using mathematical modeling.
    • Analysis of soliton properties in fourth-order dispersion systems.
    • Simulation of pulse shaping and dynamical evolutions.

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    Main Results:

    • Vector quartic solitons (VQSs) in birefringent fibers retain Gaussian shape but exhibit reduced peak power, frequency offset, and chirp.
    • Pulse shaping in mode-locked lasers influences Kelly sidebands and oscillatory tails.
    • New dynamical evolutions of VQSs, including group-velocity-locked and polarization-rotating types, were obtained.

    Conclusions:

    • VQSs possess distinct properties compared to scalar solitons.
    • Fiber laser parameters significantly impact VQS characteristics.
    • The findings offer fundamental insights and potential applications for VQSs in nonlinear optics.