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Related Concept Videos

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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The energy transport per unit area per unit time, or the Poynting vector, gives the energy flux of an electromagnetic wave at any specific time. For a plane electromagnetic wave with E0 and B0 as the peak electric and magnetic fields and traveling along the x-axis, the time-varying energy flux can be given by the following equation:
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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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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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Related Experiment Video

Updated: Jun 15, 2025

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
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Wave vector filter based on surface and Tamm plasmon polaritons.

Qixiang Jia, Qingquan Liu, Xueyu Guan

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    This study introduces a novel wave vector filter using coupling-induced transparency (CIT) for simultaneous wavelength and angle selection. This breakthrough enables precise spectral-angular filtering for advanced photonic applications.

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    Area of Science:

    • Photonics and Optics
    • Materials Science
    • Nanotechnology

    Background:

    • Conventional optical filters struggle to control both wavelength and incident angle simultaneously.
    • Surface plasmon polaritons (SPPs) offer wave vector selectivity, while Tamm plasmon polaritons (TPPs) provide low-loss field enhancement.
    • Simultaneous control over spectral and angular properties is crucial for advanced optical systems.

    Purpose of the Study:

    • To propose and demonstrate a novel wave vector filter based on coupling-induced transparency (CIT).
    • To achieve simultaneous wavelength and incident-angle selection in the short-wave infrared (SWIR) regime.
    • To overcome the limitations of conventional optical filters in multi-parameter control.

    Main Methods:

    • Leveraging coupling-induced transparency (CIT) between surface plasmon polaritons (SPPs) and Tamm plasmon polaritons (TPPs).
    • Utilizing silver gratings and Ag/distributed Bragg reflector (DBR) layers for structural optimization.
    • Experimental validation and comparison with theoretical models to confirm the dual-selectivity mechanism.

    Main Results:

    • A transmission peak of 60% was achieved at 2.08 μm.
    • The filter demonstrated exceptional wave vector selectivity, with transmission intensity decreasing by an order of magnitude for a mere 0.2° angular deviation.
    • Experimental results showed strong agreement with theoretical predictions, confirming the angle-wavelength dual-selectivity.

    Conclusions:

    • The developed CIT-based wave vector filter successfully enables simultaneous wavelength and incident-angle selection.
    • This technology offers a breakthrough for applications such as hyperspectral imaging, multi-channel sensing, and on-chip nonlinear photonic systems.
    • The CIT platform presents a novel design paradigm for photonic devices requiring joint spectral-spatial resolution.