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Bending of Material: Problem Solving01:09

Bending of Material: Problem Solving

In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
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Intensity transformation by rectangular tapered reflective coupling.

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Right angle bends in light pipes: analysis.

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Coupling efficiency between light pipes of different dimensions.

M D Wagh

    Applied Optics
    |February 19, 2010
    PubMed
    Summary

    This study presents a formula for radiation transmission through light pipe couplers. It demonstrates that couplers can be designed for total transmission of parallel radiation, regardless of pipe dimensions.

    Area of Science:

    • Optical Engineering
    • Waveguide Technology

    Background:

    • Efficient coupling between optical components is crucial for various applications.
    • Designing couplers for rectangular light pipes with differing dimensions presents unique challenges.

    Purpose of the Study:

    • To derive an expression for the transmitted fraction of radiation incident on a coupler between two rectangular light pipes.
    • To analyze the influence of physical dimensions and incident angle on radiation transmission.

    Main Methods:

    • Derivation of a mathematical expression for transmitted radiation fraction.
    • Analysis of the expression as a function of pipe dimension ratio and incident radiation angle.

    Main Results:

    • The transmitted fraction is dependent on the dimension ratio and incident angle.

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  • Achieved 100% transmission for radiation nearly parallel to the pipe axis, irrespective of dimension ratio.
  • Presented design curves for different incidence angles and pipe dimensions.

    • Conclusions:

    • It is possible to design efficient light pipe couplers for total radiation transmission.
    • The derived expression and design curves provide valuable tools for optical system design.