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Related Concept Videos

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...
Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires careful...
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

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.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Phase Changes01:19

Phase Changes

Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
A substance melts or freezes at a temperature called its melting point and boils or condenses at its boiling point. These temperatures depend on pressure. High pressure favors the denser form of the substance, so typically, high pressure...
Biasing of P-N Junction01:16

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The operation of a p-n junction diode involves various biasing conditions, including forward bias, reverse bias, and equilibrium.
In equilibrium, no external voltage is applied across the p-n junction. The depletion region is formed at the junction interface due to the diffusion of carriers, which leaves behind charged dopants, acceptors on the p-side, and donors on the n-side. These immobile charges create an electric field that prevents further diffusion of carriers. The related energy band...
Thermal expansion and Thermal stress: Problem Solving01:27

Thermal expansion and Thermal stress: Problem Solving

San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.

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High-resolution Thermal Micro-imaging Using Europium Chelate Luminescent Coatings
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Phase compensation for thermal blooming.

L C Bradley, J Herrmann

    Applied Optics
    |February 4, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Correcting the initial phase of a continuous-wave (cw) laser beam can significantly reduce thermal blooming. Numerical computations confirm this method

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    Area of Science:

    • Optics and Photonics
    • Computational Physics

    Background:

    • Thermal blooming is a significant challenge in high-power laser systems.
    • It occurs when a laser beam heats the medium it propagates through, causing refractive index changes and beam distortion.

    Purpose of the Study:

    • To investigate the effectiveness of initial laser beam phase correction in mitigating thermal blooming.
    • To provide a computationally validated approach for reducing thermal blooming effects.

    Main Methods:

    • Numerical computation was employed to simulate laser beam propagation.
    • The simulations focused on analyzing the impact of initial phase correction on thermal blooming in a continuous-wave (cw) beam.

    Main Results:

    • Appropriate correction of the initial laser beam phase was shown to appreciably reduce thermal blooming.
    • The findings demonstrate a quantifiable reduction in thermal distortion.

    Conclusions:

    • Initial phase correction is a viable and effective strategy for mitigating thermal blooming in cw laser beams.
    • This computational study validates a practical method for improving laser beam quality and performance.