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Related Concept Videos

Phase Diagrams02:39

Phase Diagrams

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A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
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Phase Transitions02:31

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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Inductance: Single-Phase And Three-Phase Line01:28

Inductance: Single-Phase And Three-Phase Line

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Understanding the inductance of transmission lines is crucial for efficient design and operation in electrical power systems. This discussion delves into the inductance characteristics of single-phase two-wire and three-phase three-wire transmission lines with equal phase spacing.
Single-Phase Two-Wire Line:
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Capacitance: Single-Phase And Three-Phase Line01:25

Capacitance: Single-Phase And Three-Phase Line

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In electrical power systems, understanding the capacitance of transmission lines is fundamental for efficient operation.
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Phase Changes01:19

Phase Changes

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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.
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NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Related Experiment Video

Updated: Feb 14, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Instability of projection light source and real-time phase error correction method for phase-shifting profilometry.

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    Instability of projection light source (IPLS) causes time-dependent phase errors in phase-shifting profilometry (PSP). New methods effectively correct these errors, enabling robust and accurate 3D shape measurements.

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Computer Vision

    Background:

    • Phase-shifting profilometry (PSP) is a key technique for 3D shape measurement.
    • Instability of projection light source (IPLS) introduces significant time-dependent phase errors.
    • Existing methods struggle to address these dynamic errors effectively.

    Purpose of the Study:

    • To systematically investigate the time-dependent phase error induced by IPLS in PSP.
    • To develop a novel mathematical model for analyzing IPLS-induced phase errors.
    • To propose and validate real-time correction methods for mitigating these errors.

    Main Methods:

    • A specialized experimental setup was designed to investigate IPLS.
    • A new mathematical model was formulated and experimentally verified.
    • Two novel real-time phase error correction algorithms were developed and implemented.

    Main Results:

    • The study successfully characterized the time-dependent phase error caused by IPLS.
    • The proposed mathematical model accurately describes the error dynamics.
    • Experimental validation confirmed the effectiveness of the two real-time correction methods in eliminating phase errors.

    Conclusions:

    • The developed real-time correction methods significantly improve the accuracy and robustness of PSP.
    • These methods offer a promising solution for high-accuracy 3D shape measurements in dynamic environments.
    • The findings contribute to advancing metrology techniques for precision engineering.