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Related Concept Videos

Propagation of Waves01:07

Propagation of Waves

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When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
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Reflection of Waves01:07

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When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
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Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

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Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
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Transmission-Line Differential Equations01:26

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Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
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Interference: Path Lengths01:10

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Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
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Fault Types01:18

Fault Types

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When analyzing a single line-to-ground fault from phase A to ground at a three-phase bus, it is important to consider the fault impedance. This impedance is zero for a bolted fault, equal to the arc impedance for an arcing fault, and represents the total fault impedance for a transmission-line insulator flashover. To derive sequence and phase currents, fault conditions are translated from the phase domain to the sequence domain.
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Related Experiment Video

Updated: Jul 4, 2025

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Differences between the geometric phase and propagation phase: clarifying the boundedness problem.

Luis Garza-Soto, Nathan Hagen, Dorilian Lopez-Mago

    Applied Optics
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    Summary
    This summary is machine-generated.

    White light interferometer experiments distinguish geometric and propagation phases. The study addresses the geometric phase boundedness problem, showing its resolution depends on phase convention choice.

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    Area of Science:

    • Optics and Photonics
    • Quantum Mechanics

    Background:

    • Geometric phase, a fundamental concept in quantum mechanics and optics, describes phase shifts independent of the magnitude of a system's evolution.
    • The 'boundedness problem' questions whether geometric phase is limited to a specific range (e.g., -π to +π) or can be unbounded.

    Purpose of the Study:

    • To experimentally differentiate between geometric and propagation phases using white light interferometry.
    • To investigate the 'boundedness problem' of geometric phase and its dependence on phase conventions.
    • To provide pedagogical resources for understanding geometric phase.

    Main Methods:

    • Utilizing white light interferometer experiments.
    • Analyzing experimental results to identify differences between geometric and propagation phases.
    • Theoretical and experimental examination of phase conventions and their impact on geometric phase.

    Main Results:

    • Clear experimental demonstration of the distinctions between geometric and propagation phases.
    • Evidence suggesting a method to resolve the geometric phase boundedness problem.
    • Highlighting the crucial role of phase convention in determining the boundedness of geometric phase.

    Conclusions:

    • Experimental findings clarify the nature of geometric and propagation phases.
    • The resolution of the geometric phase boundedness problem is shown to be convention-dependent.
    • The provided experimental videos serve as valuable educational tools for geometric phase concepts.