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Related Concept Videos

Angular Momentum01:21

Angular Momentum

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Angular momentum characterizes an object's rotational motion and is defined as the moment of its linear momentum about a specified point O. When a particle moves along a curved path in the x-y plane, the scalar formulation calculates the magnitude of its angular momentum, utilizing the moment arm (d), representing the perpendicular distance from point O to the line of action of the linear momentum. Despite being scalar in formulation, angular momentum is inherently a vector quantity. Its...
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Angular Momentum about an Arbitrary Axis01:11

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Imagine a rigid body with a mass denoted as 'm', which has its center of mass at point G and is rotating around an inertial reference frame. The angular momentum at an arbitrary point P can be calculated by taking the cross product of the position vector and linear momentum vector for each individual mass element.
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Conservation of Angular Momentum: Application01:18

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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely spinning bicycle tire that slows over time due to torque arising from friction, or the slowing of Earth's rotation over millions of years due to frictional forces exerted on tidal deformations. However in the absence of a net external torque, the angular momentum remains conserved. The conservation of angular momentum principle requires a...
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Angular Momentum: Single Particle01:10

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Angular momentum is directed perpendicular to the plane of the rotation, and its magnitude depends on the choice of the origin. The perpendicular vector joining the linear momentum vector of an object to the origin is called the “lever arm.” If the lever arm and linear momentum are collinear, then the magnitude of the angular momentum is zero. Therefore, in this case, the object rotates about the origin such that it lies on the rim of the circumference defined by the lever arm...
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce...
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Angular Momentum: Rigid Body01:11

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The total angular momentum of a rigid body can be calculated using the summation of the angular momentum of all the tiny particles rotating in the same plane. Considering all the tiny particles rotating in the x-y plane, the direction of angular momentum of all such particles and that of the rigid body would be perpendicular to the plane of the rotation along the z-axis.
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Related Experiment Video

Updated: Mar 9, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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High Orbital Angular Momentum Harmonic Generation.

J Vieira1, R M G M Trines2, E P Alves1

  • 1GoLP/Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal.

Physical Review Letters
|January 7, 2017
PubMed
Summary
This summary is machine-generated.

We discovered a new method to generate and amplify high orbital angular momentum (OAM) harmonics in plasma. This technique precisely controls OAM without altering laser wavelength, offering tunable harmonic generation.

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Area of Science:

  • Plasma physics
  • Nonlinear optics
  • Quantum optics

Background:

  • Orbital angular momentum (OAM) is a fundamental property of light.
  • Generating and controlling high OAM states is crucial for advanced optical applications.
  • Existing methods often lack independent control over OAM or alter other laser properties.

Purpose of the Study:

  • To identify and explore a novel mechanism for generating and amplifying high OAM harmonics.
  • To demonstrate independent manipulation of OAM while preserving laser wavelength.
  • To establish a tunable OAM harmonic generation process.

Main Methods:

  • Theoretical analysis of stimulated Raman backscattering in plasma.
  • Particle-in-cell (PIC) simulations to model the interaction.
  • Exploring nonlinear optical Kerr media for three-wave interactions.

Main Results:

  • A mechanism for high OAM harmonics generation and amplification was identified.
  • OAM manipulation is independent of other laser properties, preserving wavelength.
  • Harmonic spectra extend to the paraxial limit, with tunable orders based on a selection rule.
  • Demonstrated generation of prime OAM harmonics in plasma and potential in Kerr media.

Conclusions:

  • The proposed mechanism offers precise control over OAM harmonics generation.
  • This method is versatile, applicable in both plasma and nonlinear Kerr media.
  • The findings pave the way for advanced applications requiring tailored OAM states.