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Related Concept Videos

Standing Electromagnetic Waves01:15

Standing Electromagnetic Waves

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Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
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Graphing the Wave Function01:13

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Standing Waves in a Cavity01:28

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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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Propagation of Waves01:07

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When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
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The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
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Additional waves in the graphene layered medium.

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    Researchers explored additional waves in graphene using a nonlocal model. They developed a new boundary condition to accurately describe these waves, especially near the plasma frequency where graphene plasmons emerge.

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    Area of Science:

    • Condensed matter physics
    • Materials science
    • Electromagnetism

    Background:

    • Graphene's unique electronic properties enable novel wave phenomena.
    • Nonlocal effective medium models are crucial for understanding wave behavior in structured materials.
    • Standard boundary conditions are insufficient for describing additional waves in such media.

    Purpose of the Study:

    • To investigate the characteristics of additional waves in graphene layered media.
    • To address the underdetermination of reflection and transmission coefficients using conventional methods.
    • To establish a framework for accurately modeling nonlocal wave phenomena in graphene.

    Main Methods:

    • Utilizing a nonlocal effective medium model for graphene layered structures.
    • Developing an additional boundary condition based on modal expansions.
    • Deriving generalized Fresnel equations to determine wave behavior.
    • Analyzing the significance of additional waves near the effective plasma frequency.

    Main Results:

    • Identified an additional wave with nonlocal characteristics at long wavelengths.
    • Established generalized Fresnel equations applicable to nonlocal media.
    • Demonstrated the significance of the additional wave near the effective plasma frequency.
    • Linked the additional wave to the excitation of graphene plasmons.

    Conclusions:

    • The nonlocal effective medium model reveals a significant additional wave in graphene.
    • A novel boundary condition is essential for accurately describing wave propagation and interactions.
    • The findings are critical for applications involving graphene plasmonics and metamaterials.