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Related Concept Videos

Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
Symmetric Member in Bending01:07

Symmetric Member in Bending

In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
Interference and Diffraction02:18

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Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Unsymmetric Bending01:18

Unsymmetric Bending

Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The orientation of the...
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Modes of Standing Waves: II01:04

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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.

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Related Experiment Video

Updated: Jul 7, 2026

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

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Mode-coupling analysis in axisymmetric birefringent waveguides.

M Tateda

    Applied Optics
    |May 20, 1997
    PubMed
    Summary

    Axisymmetric periodic media exhibit birefringence, enabling mode coupling in waveguides. This coupling, influenced by birefringence, can occur over short distances for practical structures.

    Area of Science:

    • Optics and Photonics
    • Waveguide Theory
    • Materials Science

    Background:

    • Axisymmetric periodic media, like annular layers, possess inherent axisymmetric birefringence.
    • Birefringent waveguides are crucial components in various optical systems.
    • Understanding mode coupling is essential for controlling light propagation in waveguides.

    Purpose of the Study:

    • To theoretically analyze mode coupling in axisymmetric birefringent waveguides.
    • To investigate the relationship between birefringence and mode coupling characteristics.
    • To determine the potential for short-distance coupling in practical structures.

    Main Methods:

    • Theoretical analysis of mode coupling phenomena.
    • Examination of the coupling between orthogonal LP(11) modes.

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    Characterization of Anisotropic Leaky Mode Modulators for Holovideo
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    Last Updated: Jul 7, 2026

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    11:08

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    Published on: November 30, 2012

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  • Calculation of coupling beat length as a function of birefringence.
  • Main Results:

    • Identified coupling between LP(11) modes in perturbed axisymmetric birefringent waveguides.
    • Demonstrated that coupling depends on polarization direction and electric field node line.
    • Calculated coupling beat lengths, showing they can be as short as 5 mm for practical structures.

    Conclusions:

    • Axisymmetric birefringence facilitates mode coupling in waveguides.
    • The coupling mechanism involves orthogonal LP(11) modes.
    • Practical waveguide structures can exhibit short coupling beat lengths due to significant birefringence.