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Related Concept Videos

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

1.6K
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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Sound Waves: Resonance01:14

Sound Waves: Resonance

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Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

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Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
764
Parallel Resonance01:23

Parallel Resonance

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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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Resonance in an AC Circuit01:26

Resonance in an AC Circuit

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The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
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Series Resonance01:17

Series Resonance

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The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...
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Updated: Mar 17, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Compact air-cavity resonators within a metamaterial waveguide.

Shaghik Atakaramians, Boris T Kuhlmey

    Optics Letters
    |July 16, 2016
    PubMed
    Summary

    Metamaterials enable air cavities smaller than the operating wavelength in waveguides. This breakthrough advances the miniaturization of photonic devices, offering wavelength-tunable engineering unlike plasmonic cavities.

    Area of Science:

    • Photonics
    • Metamaterials
    • Electromagnetism

    Background:

    • Recent advances in metamaterials allow overcoming the diffraction limit.
    • This opens possibilities for high-density integration of photonic devices like waveguides and cavities.

    Purpose of the Study:

    • Investigate conditions for creating air cavities within uniaxial metamaterial clad waveguides.
    • Explore the potential for miniaturizing electromagnetic devices.

    Main Methods:

    • Analysis of air-cavity formation in metamaterial clad waveguides.
    • Identification of specific cladding material conditions required for sub-wavelength cavity sizes.

    Main Results:

    • Achieved air-cavity sizes significantly smaller than the operating wavelength (D²h/λ³=1/(35²×100)).

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    Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials
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  • Demonstrated that these conditions are achievable with specific metamaterial cladding.

    • Conclusions:

    • Metamaterial-based engineering allows for achieving sub-wavelength air cavities at desired wavelengths.
    • This offers a significant advantage over plasmonic cavities for device miniaturization.