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Related Concept Videos

Projectile Motion01:20

Projectile Motion

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An object thrown in the air follows a parabolic path under the influence of Earth's gravitational force. The motion of such an object is called projectile motion, and the object itself a projectile. The parabolic path followed by the projectile is called the trajectory. Some common examples of projectile motion are the launching of fireworks, a golf ball in the air, meteors entering the Earth's atmosphere, and the firing of bullets.
When an object falls under gravity and has no...
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Deflection of a Beam01:19

Deflection of a Beam

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Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
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Projectile Motion: Example01:18

Projectile Motion: Example

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The theory of projectile motion is very useful for players of several sports to improve their performance. For example, a javelin thrower needs to throw their javelin in such a way that it travels as far as possible. The javelin thrower takes a short run-up to increase the initial speed of the javelin. The range of a projectile is at its maximum at a 45° angle so javelin throwers try to angle their throw as close to 45° as possible.
When we speak of the range (R) of a projectile on...
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Prismatic Beams: Problem Solving01:15

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In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
The design begins with analyzing the beam as a free body to identify moments and force balances, thereby determining support reactions. Next, the...
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Projectile Motion: Equations01:26

Projectile Motion: Equations

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Projectile motion is commonly observed in our day-to-day life. For example, a basketball thrown by a player, an arrow shot from a bow, and kids jumping into the pool, all undergo projectile motion.
Any projectile motion problem can be solved by using the following strategy:
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Beams01:30

Beams

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Beams are integral components of structural engineering and construction, designed to support loads applied at various points along their length. These long, straight members can be classified based on geometry, cross-section, support type, and equilibrium condition.
Based on geometry, beams can be straight, tapered, or curved. Straight beams are the most common type and have a constant cross-section throughout their length. Tapered beams, on the other hand, have a varying cross-section along...
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High-Speed Optical Diagnostics of a Supersonic Ping-Pong Cannon
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Dual projectile beams.

Ouis Chouaib Boumeddine, Alessandro Zannotti, Bencheikh Abdelhalim

    Optics Express
    |October 12, 2022
    PubMed
    Summary
    This summary is machine-generated.

    Researchers developed a simple method to create Dual Projectile Beams (DPBs) with controllable curved paths using binary phase structures. These beams interact with nonlinear materials, forming stable spatial solitons that propagate long distances.

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    Area of Science:

    • Optics and Photonics
    • Nonlinear Optics
    • Diffractive Optics

    Background:

    • Accelerating beams, like Airy beams, feature intensity maxima that follow curved trajectories.
    • Conventional generation methods for such beams often require complex diffractive optical elements (DOEs) or spatially extended systems, posing fabrication and practical challenges.

    Purpose of the Study:

    • To present a simplified approach for directly generating accelerating beams with controllable trajectories.
    • To introduce a new class of beams, termed Dual Projectile Beams (DPBs), characterized by root parabolic trajectories.

    Main Methods:

    • Utilized binary phase structures with a simple π phase step modulation.
    • Employed tailored step or slit phase patterns combined with Fresnel lenses to generate hollow-core or abruptly focusing beams.
    • Investigated the interaction of DPBs with nonlinear matter, specifically photorefractive materials.

    Main Results:

    • Successfully generated DPBs with two intensity maxima propagating along root parabolic trajectories.
    • Demonstrated control over beam curvature by modifying phase patterns and incorporating Fresnel lenses.
    • Observed the formation of a stable spatial soliton from DPB interaction with a photorefractive material, propagating unchanged over several Rayleigh lengths.

    Conclusions:

    • The proposed binary phase structure method offers a simpler and more practical alternative for generating controllable accelerating beams.
    • DPBs exhibit unique trajectory characteristics and versatile light-matter interaction capabilities, including stable soliton formation.
    • The simplicity of the approach makes DPBs suitable for integrated optics and high-power laser applications using DOEs or meta-surfaces.