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Related Concept Videos

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...
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:
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:
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...
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...
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...

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Related Experiment Video

Updated: Jun 20, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Reflectivity fluctuations in phase-conjugate resonators.

A T Friberg, M Kauranen, K Nyhoim

    Optics Letters
    |September 10, 2009
    PubMed
    Summary

    Phase-conjugate mirror noise impacts resonator reflections. The system partially self-compensates phase noise, but amplitude fluctuations cause significant deviations near instability.

    Area of Science:

    • Optics and Photonics
    • Nonlinear Optics
    • Quantum Optics

    Background:

    • Phase-conjugate resonators are crucial optical devices.
    • Noise in phase-conjugate mirrors can degrade resonator performance.
    • Understanding noise effects is vital for stable optical system design.

    Purpose of the Study:

    • To investigate the behavior of conjugate and specular reflections in a phase-conjugate resonator under phase-conjugate mirror noise.
    • To analyze the impact of phase and amplitude fluctuations on resonator dynamics.

    Main Methods:

    • Utilized a sudden-jump model to describe phase and amplitude fluctuations.
    • Performed analytical derivations for phase noise effects.
    • Conducted numerical simulations to study amplitude fluctuation dynamics.

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    The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements

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    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

    Published on: December 15, 2021

    Related Experiment Videos

    Last Updated: Jun 20, 2026

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
    11:08

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

    Published on: November 30, 2012

    The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements
    09:10

    The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements

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    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
    07:42

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    Published on: December 15, 2021

    Main Results:

    • Analytical results indicate partial self-compensation of phase noise within the resonator.
    • Numerical simulations show significant deviations from coherent behavior under specific conditions.
    • Deviations are pronounced with long amplitude correlation times and proximity to the instability threshold.

    Conclusions:

    • Phase-conjugate resonators exhibit a degree of resilience to phase noise.
    • Amplitude fluctuations pose a greater challenge, especially near instability.
    • The findings are critical for designing robust phase-conjugate optical systems.