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Related Concept Videos

Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

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The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
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Lossless Lines01:23

Lossless Lines

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In electrical engineering, a lossless transmission line is characterized by a purely imaginary propagation constant and a resistive characteristic impedance. The ABCD parameters, which describe the relationship between the input and output voltages and currents, indicate an equivalent π circuit with an imaginary series impedance and a shunt admittance. This results in a transmission line that, when the product of the phase constant (beta) and the length of the line is less than pi, exhibits...
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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.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
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Lossy Lines and Overvoltages01:22

Lossy Lines and Overvoltages

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Transmission-line series resistance and shunt conductance cause three primary effects: attenuation, distortion, and power losses.
Attenuation
When constant series resistance and shunt conductance are present, voltage and current equations are modified. The propagation constant indicates that voltage and current waves consist of both forward and backward traveling components. These waves attenuate as they propagate, with the attenuation factor related to the resistance and conductance. In a...
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Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
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Major Losses in Pipes01:28

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When a fluid flows through a pipe, it experiences energy losses due to frictional resistance along the pipe walls, known as major losses. These energy losses result in a pressure drop, which varies based on the flow conditions — whether laminar or turbulent — and the specific physical properties of the fluid and pipe.
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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Establishing the nonlinear coefficient for extremely lossy waveguides.

Gordon Han Ying Li, Alessandro Tuniz, C Martijn de Sterke

    Optics Letters
    |September 15, 2020
    PubMed
    Summary
    This summary is machine-generated.

    This study identifies the most accurate method for calculating the nonlinear coefficient (γ) in lossy optical waveguides. This resolves a key issue, enabling better understanding of nonlinear optical systems.

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    Area of Science:

    • * Nonlinear optics
    • * Plasmonics
    • * Materials science

    Background:

    • * The nonlinear coefficient (γ) is crucial for studying cubically nonlinear optical guided-wave structures.
    • * Understanding γ in lossy systems is less developed than in lossless systems.
    • * Various methods exist for calculating γ in lossy systems, yielding different results.

    Purpose of the Study:

    • * To identify the most accurate and practical expression for the nonlinear coefficient (γ) in lossy waveguides.
    • * To resolve the ambiguity in calculating γ for lossy systems.
    • * To provide new insights into the nonlinear response of lossy optical systems.

    Main Methods:

    • * Applied different proposed expressions for γ to air-gold surface plasmon polariton modes.
    • * Focused on the interband region of gold.
    • * Compared results with a fully numerical iterative method.

    Main Results:

    • * Identified the most accurate and practical expression for γ in lossy waveguides.
    • * Demonstrated the effectiveness of the chosen method through comparison with numerical simulations.
    • * Resolved the discrepancy between different calculation methods for γ.

    Conclusions:

    • * The study provides a definitive method for calculating the nonlinear coefficient in lossy waveguides.
    • * This finding will advance the understanding and design of nonlinear optical devices.
    • * Enables new research into the nonlinear behavior of plasmonic and guided-wave systems.