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Related Concept Videos

Parallel Resonance01:23

Parallel Resonance

313
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:
313
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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Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

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Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
439
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

369
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:
369
Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

5.4K
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
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Active Filters01:25

Active Filters

1.0K
Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
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Scalable higher-order exceptional surface with passive resonators.

Hong Yang, Xuan Mao, Guo-Qing Qin

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    |August 13, 2021
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    Summary
    This summary is machine-generated.

    Researchers developed a scalable protocol for photonic high-order exceptional surfaces (ES). This method enhances sensing sensitivity and system robustness, making experimental realization more feasible despite fabrication imperfections.

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    Area of Science:

    • Photonics
    • Quantum Optics
    • Nonlinear Optics

    Background:

    • Higher-order exceptional points (EPs) enhance perturbation sensing sensitivity via nonlinear frequency splitting.
    • Experimental realization of higher-order EPs is challenging due to stringent parameter requirements.
    • Exceptional surfaces (ES) offer robustness against environmental changes while preserving high sensitivity.

    Purpose of the Study:

    • To propose and demonstrate a scalable protocol for realizing photonic high-order exceptional surfaces (ES).
    • To enhance the robustness and sensitivity of perturbation sensing systems.
    • To investigate the feasibility of experimental implementation with passive resonators.

    Main Methods:

    • Utilizing passive resonators to construct photonic high-order ES.
    • Adding passive resonators to a low-order ES photonic system to achieve three- or arbitrary N-order ES.
    • Analyzing the sensitivity enhancement and resilience against fabrication errors.

    Main Results:

    • Successfully proposed the first scalable protocol for photonic high-order ES using passive resonators.
    • Demonstrated that the proposed method enhances sensitivity and improves robustness against fabrication errors.
    • Showcased the ease of experimental realization for three- or arbitrary N-order ES.

    Conclusions:

    • The developed protocol offers a practical approach to realizing robust and sensitive photonic high-order ES.
    • This advancement facilitates improved perturbation sensing in photonic systems.
    • The method provides a scalable and experimentally feasible pathway for future research in exceptional point physics.