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Related Concept Videos

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
Geometry of Hyperbolas01:30

Geometry of Hyperbolas

A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and stress...
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...
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...

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Regular geometries for folded optical modules.

M P Schamschula, P Reardon, H J Caulfield

    Applied Optics
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    Summary
    This summary is machine-generated.

    Three novel 3D modular interconnection architectures are introduced. New figures of merit evaluate compactness, optical axis angles, and manufacturability for optical system design.

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    Area of Science:

    • Optics and Photonics
    • Optical Engineering
    • Modular Systems Design

    Background:

    • Traditional optical interconnection systems face challenges in compactness and manufacturability.
    • The need for efficient and adaptable optical system architectures is growing.

    Purpose of the Study:

    • To introduce three new three-dimensional (3D) right-cylindrical folded modular interconnection architectures.
    • To establish a standardized method for comparing these new architectures against each other and existing designs.

    Main Methods:

    • Development of three novel 3D right-cylindrical folded modular interconnection architectures.
    • Introduction of quantitative figures of merit to assess system performance.
    • Analysis of key aspects including compactness, optical axis alignment, and manufacturability.

    Main Results:

    • The proposed figures of merit provide a comprehensive evaluation framework.
    • The new architectures offer distinct advantages in specific design contexts.
    • Quantitative comparison enables informed selection of the optimal architecture.

    Conclusions:

    • The developed figures of merit facilitate the selection of the most suitable optical system geometry for specific applications.
    • These new modular architectures represent advancements in optical interconnection design.
    • The study empowers optical system designers with better tools for comparative analysis and selection.