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Related Concept Videos

Polar Coordinates: Problem Solving01:27

Polar Coordinates: Problem Solving

Directional radiation patterns are central to antenna analysis, as they illustrate how signal strength varies with direction. These patterns are often modeled using polar plots, where the radial distance from the origin represents signal intensity at a given angle. A commonly used idealized form is the four-lobed rose curve, which captures the concept of directional beams in a simplified mathematical form.The four-lobed rose curve, described by r = cos⁡(2θ), features four symmetric lobes, each...
Polar Coordinate System01:30

Polar Coordinate System

The polar coordinate system provides a natural way to describe points in the plane when distances and directions are more meaningful than horizontal and vertical displacements. It is especially useful for modeling non-rectangular regions such as circles and spirals, where symmetry about a center point is easier to express than it is in a rectangular grid. A familiar example is a ship’s plan position indicator, which marks detected targets as dots positioned relative to the ship at the display’s...
Polar and Cylindrical Coordinates01:22

Polar and Cylindrical Coordinates

The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position with respect to time...
Polar Coordinates01:24

Polar Coordinates

The polar coordinate system offers an alternative to the Cartesian coordinate system for specifying points in a plane, using a distance and an angle instead of x and y coordinates. This system is particularly advantageous in situations involving circular or rotational symmetry, such as in physics or engineering problems involving waves, oscillations, or orbital paths.Defining Polar CoordinatesIn polar coordinates, a point is represented as P(r, ��), where r is the radial distance from a fixed...
Integration Applied to Polar Coordinates to Find Arc Lengths01:26

Integration Applied to Polar Coordinates to Find Arc Lengths

In polar coordinates, a plane curve is described by a radial distance r from a fixed point, called the pole, and an angle θ measured from a reference direction. This system is especially useful for paths that naturally involve rotation, such as an expanding spiral followed by a search drone. If the hiker’s last known position is treated as the pole, then the drone’s location at any instant can be represented by the polar equation r = f(θ), where the distance from the pole changes as the drone...

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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Published on: September 5, 2019

Quasi-distributed single-length polarimetric sensor.

V Gusmeroli, M Martinelli, P Vavassori

    Optics Letters
    |September 18, 2009
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel quasi-distributed polarimetric sensor using a single polarization-preserving fiber. Miniature rings enable sensing segments, offering high resolution and precision for fiber optic applications.

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    Area of Science:

    • Optics and Photonics
    • Fiber Optic Sensing
    • Polarimetry

    Background:

    • Distributed fiber optic sensors are crucial for various applications.
    • Existing sensors often face challenges with mechanical integrity or resolution.
    • Polarimetric sensing offers unique advantages for detecting physical parameters.

    Purpose of the Study:

    • To develop a quasi-distributed polarimetric sensor with enhanced spatial resolution and mechanical integrity.
    • To utilize a single length of polarization-preserving fiber for sensing.
    • To leverage coherent-multiplexing for improved sensor performance.

    Main Methods:

    • A quasi-distributed sensor design using a single polarization-preserving fiber.
    • Miniature rings used to create sensing segments by mode coupling.
    • A superluminescent-diode source employed to enable coherent-multiplexing.
    • Experimental validation of the sensor's performance.

    Main Results:

    • Successful implementation of a quasi-distributed polarimetric sensor.
    • Demonstrated high spatial resolution and precision through experimental results.
    • Verified the mechanical integrity of the fiber optic sensor.
    • Confirmed the coupling of optical modes via miniature rings.

    Conclusions:

    • The developed sensor effectively combines polarimetric sensitivity with high spatial resolution.
    • The use of miniature rings preserves fiber integrity while enabling sensing.
    • This approach represents a promising advancement for quasi-distributed fiber optic sensing systems.