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Cylinders in Three-Dimensional Space01:28

Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
Planes in Space01:31

Planes in Space

A plane in three-dimensional space is fundamentally characterized by a point that lies on the plane and a normal vector that is perpendicular to its surface. This normal vector uniquely determines the orientation of the plane, making it an essential geometric descriptor. In architectural applications, such as the installation of a sloped glass panel on a building façade, this mathematical model provides a precise representation of the panel’s position and orientation in space.Let r₀ be the...
Spherical and Cylindrical Capacitor01:26

Spherical and Cylindrical Capacitor

A spherical capacitor consists of two concentric conducting spherical shells of radii R1 (inner shell) and R2 (outer shell). The shells have equal and opposite charges of +Q and −Q, respectively. For an isolated conducting spherical capacitor, the radius of the outer shell can be considered to be infinite.
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field, calculated by...
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...
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,...

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Related Experiment Video

Updated: Jun 10, 2026

Multimodal Volumetric Retinal Imaging by Oblique Scanning Laser Ophthalmoscopy (oSLO) and Optical Coherence Tomography (OCT)
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Multimodal Volumetric Retinal Imaging by Oblique Scanning Laser Ophthalmoscopy (oSLO) and Optical Coherence Tomography (OCT)

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Cylindrical optical backplane.

R M Reyes, A J Corda

    Applied Optics
    |August 21, 2010
    PubMed
    Summary

    This study introduces a simple cylindrical optical backplane. The design utilizes stacked disks, light-emitting diodes, and photodiodes, eliminating the need for precision optics and critical alignment.

    Area of Science:

    • Optoelectronics
    • Optical Engineering
    • Materials Science

    Background:

    • Traditional optical backplanes often require complex alignment and precision optics, increasing manufacturing costs and complexity.
    • The need for robust and cost-effective optical interconnect solutions is growing in various electronic systems.

    Purpose of the Study:

    • To describe a novel cylindrical optical backplane design.
    • To highlight the advantages of simplicity and reduced alignment requirements in optical backplane technology.

    Main Methods:

    • Utilized stacked Plexiglas disks to form the cylindrical structure.
    • Integrated light-emitting diodes (LEDs) as light sources.
    • Incorporated p-i-n photodiodes for light detection.

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    Main Results:

    • A functional cylindrical optical backplane was successfully designed and described.
    • The design demonstrated inherent simplicity in its construction.
    • The system showed a significant reduction in the need for precision optics and critical alignment procedures.

    Conclusions:

    • The proposed cylindrical optical backplane offers a simplified and potentially more cost-effective alternative to conventional designs.
    • This approach minimizes manufacturing challenges associated with precise optical alignment.
    • The design holds promise for applications requiring straightforward optical data transmission.