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Related Concept Videos

Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

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.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from the...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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.
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¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

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Differential Form of Maxwell's Equations01:17

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Couette Flow01:22

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Related Experiment Video

Updated: Jun 12, 2026

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
07:39

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons

Published on: July 21, 2018

Coupled-mode equations for nonlinear directional couplers.

F J Fraile-Pelaez, G Assanto

    Applied Optics
    |June 22, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Researchers found inconsistencies in modeling the nonlinear behavior of symmetric directional couplers. Neglecting certain nonlinear terms in coupled-mode equations requires careful consideration to avoid inaccuracies.

    Related Experiment Videos

    Last Updated: Jun 12, 2026

    Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
    07:39

    Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons

    Published on: July 21, 2018

    Area of Science:

    • Photonics and Optical Engineering
    • Nonlinear Optics

    Background:

    • Symmetric directional couplers are fundamental components in integrated photonics.
    • Modeling their nonlinear behavior is crucial for device design and performance prediction.

    Purpose of the Study:

    • To identify and address inconsistencies in the standard coupled-mode formulation for nonlinear directional couplers.
    • To highlight the importance of specific nonlinear terms in accurate modeling.

    Main Methods:

    • Analysis of the coupled-mode equations for symmetric directional couplers.
    • Investigation of the impact of neglecting nonlinear terms on model accuracy.

    Main Results:

    • Identified inconsistencies in the conventional coupled-mode formulation.
    • Demonstrated that neglecting certain nonlinear terms can lead to significant inaccuracies in predicting coupler behavior.

    Conclusions:

    • The standard coupled-mode formulation for nonlinear directional couplers requires careful re-evaluation.
    • Accurate modeling necessitates careful consideration of all relevant nonlinear terms, avoiding oversimplification.