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Related Concept Videos

Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

667
When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
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Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

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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...
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Related Experiment Video

Updated: Feb 20, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Sharp bend in two-dimensional optical waveguide based on gradient refractive index structure.

Yinghui Cao, Raj Mittra, Zhenyu Liu

    Applied Optics
    |October 20, 2017
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    Summary
    This summary is machine-generated.

    We designed a sharp optical waveguide bend using super-ellipse curves and a gradient refractive index. This design enables efficient light propagation and coupling for optical and photonic components.

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    Area of Science:

    • Photonics
    • Optical Engineering
    • Waveguide Design

    Background:

    • Optical waveguides are crucial for integrated photonic circuits.
    • Efficient light propagation in compact waveguide bends is a persistent challenge.

    Purpose of the Study:

    • To propose and analyze a novel sharp bend design for two-dimensional optical waveguides.
    • To demonstrate efficient light propagation and coupling in the proposed waveguide bend.

    Main Methods:

    • Design of a waveguide bend with super-ellipse boundaries.
    • Implementation of a gradient refractive index profile in the waveguide core.
    • Numerical simulations to analyze light propagation for TE0 and TM0 modes.

    Main Results:

    • The proposed waveguide bend exhibits efficient light propagation.
    • Efficient light coupling is achieved between the bend and a straight waveguide.
    • The design is effective for both TE0 and TM0 polarization modes.

    Conclusions:

    • The super-ellipse waveguide bend with a gradient refractive index offers an efficient solution for compact photonic components.
    • This design strategy can be extended to other integrated optical devices.
    • The findings contribute to the advancement of miniaturized optical systems.