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Related Concept Videos

Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Forced Oscillations01:06

Forced Oscillations

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Atomic Nuclei: Larmor Precession Frequency01:11

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Time and frequency -Domain Interpretation of Phase-lag Control01:21

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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...

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Related Experiment Video

Updated: Jun 19, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
14:18

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Published on: February 28, 2016

Phase locking in a two-element laser array: a test of the coupled-oscillator model.

J Xu, S Li, K K Lee

    Optics Letters
    |October 6, 2009
    PubMed
    Summary

    Phase locking in Nd:YAG laser arrays occurs instantaneously, contrary to existing theories. This rapid, coupling-independent locking challenges current understanding of laser dynamics.

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    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Nonlinear Dynamics

    Background:

    • Phase locking is crucial for coherent operation of laser arrays.
    • Existing theories predict a gradual, coupling-dependent phase-locking process.
    • Understanding transient dynamics is key to controlling laser array behavior.

    Purpose of the Study:

    • To investigate the transient dynamics of phase locking in a two-element Nd:YAG laser array.
    • To experimentally control and observe phase locking over a range of coupling strengths.
    • To compare experimental findings with predictions from time-dependent coupled-mode theory.

    Main Methods:

    • Fabrication of two evanescent-coupled Nd:YAG lasers within an étalon.
    • Diode end-pumping to enable continuous variation of coupling strength by adjusting pump beam positions.
    • Observation and analysis of steady-state and transient phase-locking dynamics.

    Main Results:

    • Phase locking develops as rapidly as lasing onset, without an evolutionary phase.
    • Instantaneous locking is observed and is independent of coupling strength above a threshold.
    • Experimental results contradict predictions from time-dependent coupled-mode theory.

    Conclusions:

    • The instantaneous nature of phase locking in this Nd:YAG laser array challenges established theories.
    • Current models for laser array dynamics, particularly regarding optical instability, require reevaluation.
    • Further theoretical and experimental work is needed to fully explain these observed phenomena.