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Related Concept Videos

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.
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...
Lossless Lines01:23

Lossless Lines

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...
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...
Interference: Path Lengths01:10

Interference: Path Lengths

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.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Propagation of Waves01:07

Propagation of Waves

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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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Transverse offset loss between two identical noncircular single-mode waveguides.

A H Liang, H K Tsang

    Applied Optics
    |November 10, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new approximation for transverse offset loss in noncircular waveguides, improving accuracy for small offsets compared to existing methods. The findings offer a more precise way to calculate signal loss in optical communication systems.

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    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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    Area of Science:

    • Optical Engineering
    • Photonics
    • Waveguide Theory

    Background:

    • Transverse offset loss is a critical parameter in optical waveguide coupling.
    • Existing approximations for offset loss are less accurate for noncircular waveguides.

    Purpose of the Study:

    • To derive a new approximation for transverse offset loss in arbitrary identical noncircular single-mode waveguides.
    • To compare the accuracy of the new approximation with existing methods.

    Main Methods:

    • Derivation of an approximation based on Laplacian mode-field half-width (MFHW) and far-field second moment.
    • Numerical analysis using symmetrical rectangular waveguides.
    • Comparison with elliptical Gaussian MFHW approximation.

    Main Results:

    • The derived relation reduces to the known result for circular-symmetric waveguides.
    • The Laplacian MFHW approximation shows higher accuracy for small transverse offsets compared to the elliptical Gaussian MFHW.
    • This is the first calculation of errors for approximate transverse offset loss relations in noncircular waveguides.

    Conclusions:

    • The new approximation based on Laplacian MFHW provides a more accurate estimation of transverse offset loss for noncircular waveguides.
    • This method is particularly beneficial for small transverse offset scenarios.
    • The study advances the understanding and calculation of signal loss in noncircular optical systems.