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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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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:
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Design Example01:23

Design Example

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The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
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Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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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...
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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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Related Experiment Video

Updated: Mar 26, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
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Box-like filter response using multimode single-ring microresonators.

Salwa El-Sabban, Amr Wageeh, Diaa Khalil

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    Summary
    This summary is machine-generated.

    Researchers developed a novel microring resonator technique for creating box-like optical filter responses. This method utilizes multimode propagation, enabling compact and controllable optical filter designs.

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    Area of Science:

    • Photonics
    • Optical Engineering
    • Materials Science

    Background:

    • Microring resonators are crucial components in integrated photonics for filtering applications.
    • Achieving a sharp, box-like spectral response is challenging with conventional single-mode resonators.
    • Multimode propagation offers potential for novel resonator functionalities.

    Purpose of the Study:

    • To introduce a new technique for generating a box-like filter response using a single microring resonator.
    • To explore the implementation of this technique in two-mode ring resonators.
    • To demonstrate improved spectral width shape factors for optical filters.

    Main Methods:

    • The study exploits multimode propagation within a single microring resonator.
    • The technique was implemented and tested on various two-mode ring resonator designs.
    • Finite-Difference Time-Domain (FDTD) simulations were used for verification.

    Main Results:

    • The proposed designs achieved a spectral width shape factor between 1 to 10 dB, exceeding 0.4.
    • FDTD simulations confirmed the performance across different wavelengths and spectral widths.
    • The technique allows for precise control over the filter's box-like response.

    Conclusions:

    • A novel and effective technique for creating box-like filter responses in microring resonators has been presented.
    • The method leverages multimode propagation for enhanced filter performance.
    • This design methodology facilitates the development of more compact optical filters with tailored responses.