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Related Concept Videos

Parallel Resonance01:23

Parallel Resonance

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:
Sound Waves: Resonance01:14

Sound Waves: Resonance

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...
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

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:
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Resonance and Hybrid Structures02:16

Resonance and Hybrid Structures

According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
Resonance Structures and Resonance Hybrids
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N–O and N=O bonds.
Design Example: Capacitance Multiplier Circuit01:20

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

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Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials
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Vertically-stacked multi-ring resonator.

M Sumetsky

    Optics Express
    |June 6, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Vertically-stacked multi-ring resonators (VMRs) offer a compact 3D alternative to planar coupled resonator optical waveguides (CROWs). VMRs can maintain eigenmodes even with strong coupling, unlike their 2D counterparts.

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    Area of Science:

    • Photonics and Optical Engineering
    • Nanotechnology
    • Waveguide Optics

    Background:

    • Conventional coupled ring resonators are arranged in a planar configuration.
    • Vertically-stacked multi-ring resonators (VMRs) offer a novel 3D architecture.
    • VMRs promise enhanced compactness and flexible transmission characteristics compared to planar designs.

    Purpose of the Study:

    • To investigate the optical properties of uniform vertically-stacked multi-ring resonators (VMRs).
    • To analyze the VMR as a 3D analogue of coupled resonator optical waveguides (CROWs).
    • To derive analytical expressions for transmission amplitudes and eigenvalues.

    Main Methods:

    • Solving coupled wave equations for the VMR system.
    • Analyzing the behavior of transmission amplitudes and eigenvalues.
    • Investigating resonance transmission near VMR eigenvalues.
    • Determining the dispersion relation for an infinite VMR.

    Main Results:

    • Closed-form analytical expressions for transmission amplitudes and eigenvalues were obtained.
    • VMRs can possess eigenmodes even under strong inter-ring and waveguide coupling conditions.
    • Eigenvalues of the propagation constant vary linearly with the inter-ring coupling coefficient for isolated VMRs.
    • The dispersion relation for an infinite VMR was derived, showing similarities to planar CROWs for weak coupling but lacking bandgaps for strong coupling.

    Conclusions:

    • Vertically-stacked multi-ring resonators represent a promising 3D photonic cấu trúc.
    • VMRs offer advantages in compactness and tunable transmission properties.
    • The unique optical characteristics of VMRs, particularly under strong coupling, warrant further investigation for advanced photonic applications.