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Radial System Protection

Radial System Protection

Radial systems employ time-delay overcurrent relays to reduce load interruptions. When a fault occurs, the nearest breaker opens first, while upstream breakers remain closed due to longer delay settings. This approach ensures minimal disruption to the rest of the system.
In a radial system with a fault downstream of the third breaker, ideally, only the third breaker will open, isolating the fault and interrupting the load connected beyond it. The second breaker has a longer delay setting,...

Polar Coordinates: Problem Solving

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...

Shear on the Horizontal Face of a Beam Element

Shear on the Horizontal Face of a Beam Element

To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's first...

Deformations in a Transverse Cross Section

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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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Related Experiment Video

Updated: Jun 16, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Published on: August 12, 2013

Air breakdown in a radial-mode focusing element.

L W Casperson, M S Shekhani

|February 4, 2010

Summary

A novel radial focusing device creates an intense, uniform laser focal spot. This device, when used with a carbon dioxide (CO2) laser, generates a unique disk-shaped air-breakdown spark whose properties were studied.

Area of Science:

Optics and Photonics
Laser Physics
Plasma Physics

Background:

High-intensity laser focusing is crucial for various scientific and industrial applications.
Achieving uniform illumination at the focal spot presents a significant challenge.
Carbon dioxide (CO2) lasers are widely used in material processing and research.

Purpose of the Study:

To introduce and characterize a new radial focusing device for laser beams.
To investigate the properties of air-breakdown sparks generated by a CO2 laser using this device.
To explore the potential applications of the intense focal region created.

Main Methods:

Development and implementation of a novel radial focusing optical system.
Utilizing a 10.6-micrometer carbon dioxide transversely excited atmospheric (TEA) laser.

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Experimental generation and optical/spectroscopic analysis of air-breakdown plasma sparks.

Main Results:

The radial focusing device successfully condensed the laser beam to an extremely intense and uniformly illuminated focal spot.
A distinct disk-shaped air-breakdown spark was consistently produced when using the CO2 TEA laser.
Initial investigations into the properties of this unique spark were conducted.

Conclusions:

The developed radial focusing device offers a promising method for generating high-intensity, uniform laser focal spots.
The resulting air-breakdown spark exhibits unique characteristics suitable for further research and potential applications.
This technology advances laser beam manipulation and plasma generation techniques.