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Related Concept Videos

Lossy Lines and Overvoltages01:22

Lossy Lines and Overvoltages

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...
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

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.
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

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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Minor Losses in Pipes01:25

Minor Losses in Pipes

In pipe systems, minor losses refer to energy losses arising from components such as valves, bends, fittings, expansions, and other features that disrupt the steady flow of fluid. These disturbances cause energy dissipation through turbulence and resistance, which engineers quantify to manage system efficiency effectively.
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Dielectric Polarization in a Capacitor01:31

Dielectric Polarization in a Capacitor

The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

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Related Experiment Video

Updated: Jun 16, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

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Published on: November 30, 2012

Losses at corner bends in dielectric waveguides.

H F Taylor

    Applied Optics
    |February 20, 2010
    PubMed
    Summary

    This study presents a novel approximate technique to manage mode conversion in dielectric waveguides, crucial for efficient integrated optics design. The method accurately predicts power loss and propagation characteristics at waveguide bends.

    Area of Science:

    • Optics and Photonics
    • Electromagnetism
    • Materials Science

    Background:

    • Mode conversion at bends in dielectric waveguides is a significant challenge in integrated optics.
    • Existing methods for analyzing mode conversion can be computationally intensive or lack precision.
    • Efficient design of interconnections and mode converters requires accurate prediction of power propagation.

    Purpose of the Study:

    • To develop and apply an approximate technique for treating mode conversion at corner bends in dielectric waveguides.
    • To express matrix elements describing mode coupling as spatial integrals of electromagnetic fields.
    • To analyze the implications for designing low-loss integrated optical components.

    Main Methods:

    • Utilized an approximate technique based on a sum rule for mode conversion analysis.

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  • Expressed mode coupling matrix elements via spatial integrals over guided mode electromagnetic fields.
  • Performed numerical simulations for single-mode and multi-mode slab waveguides.
  • Main Results:

    • The matrix elements provide quantitative information on the magnitude and coherence of power in radiation modes.
    • Calculated average propagation constants for guided and radiated modes.
    • Demonstrated the technique's applicability to both single-mode and multi-mode waveguide scenarios.

    Conclusions:

    • The sum rule-based technique offers an effective method for analyzing mode conversion in dielectric waveguides.
    • Results provide valuable insights for optimizing the design of low-loss interconnections in integrated optics.
    • The findings support the development of advanced mode converters for photonic devices.