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Related Concept Videos

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...
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:
Series Resonance01:17

Series Resonance

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...
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:
Resonance in an AC Circuit01:26

Resonance in an AC Circuit

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

Design Example: Underdamped Parallel RLC Circuit

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...

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All-single-mode fiber resonator.

L F Stokes, M Chodorow, H J Shaw

    Optics Letters
    |August 28, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A novel all-fiber-ring resonator was built using a single optical fiber strand and directional coupler. This fiber resonator achieved a finesse of 80, demonstrating its potential for various applications.

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    Area of Science:

    • Optical Engineering
    • Photonics
    • Fiber Optics

    Background:

    • Fiber-optic components are crucial for modern communication and sensing.
    • Ring resonators offer unique optical filtering and sensing capabilities.
    • Integrating resonators directly into fiber systems simplifies device architecture.

    Purpose of the Study:

    • To construct and characterize an all-fiber-ring resonator.
    • To derive the finesse equation for this specific fiber resonator design.
    • To experimentally validate the resonator's performance and explore its applications.

    Main Methods:

    • Fabrication of a ring resonator using a single-mode optical fiber and a directional coupler.
    • Theoretical derivation of resonator finesse based on fiber and coupler parameters.
    • Experimental measurement of the resonator's finesse.

    Main Results:

    • Successful construction of an all-fiber-ring resonator.
    • Derivation of a theoretical framework for resonator finesse.
    • Experimental achievement of a finesse value of 80.

    Conclusions:

    • The developed all-fiber-ring resonator is a viable optical component.
    • The achieved finesse of 80 indicates good performance for practical applications.
    • This technology holds promise for advancements in optical sensing and signal processing.