Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Orthogonal Trajectories

Orthogonal Trajectories

Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...

Energy Diagrams - I

Energy Diagrams - I

The dynamics of a mechanical system can be easily understood by interpreting a potential energy diagram. Since energy is a scalar quantity, the interpretation of the dynamics of the system becomes even simpler.
Take the example of a skater on a parabolic ramp. The potential energy at different points along the ramp will be proportional to the height of the ramp, which varies quadratically with the horizontal position on the ramp. As the skater moves down the ramp from the highest position,...

Energy Diagrams - II

Energy Diagrams - II

Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The slope...

Velocity Potential

Velocity Potential

In steady, incompressible flow through a long, straight pipe with a uniform cross-section, the flow in the central region (far from the pipe walls) is irrotational. This irrotational nature means that fluid particles do not rotate around their axes, and a scalar function called the velocity potential, represented by ϕ, can be used to describe their movement. In irrotational flows, the velocity field V is defined as the gradient of the velocity potential:

Dynamics Of Circular Motion: Applications

Dynamics Of Circular Motion: Applications

Suppose a car moves on flat ground and turns to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. For this, a minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Let's now consider banked curves, where the slope of the road helps in negotiating the curve. The greater the angle of the curve, the faster one can take the curve. It is common for race tracks for...

Stability of Equilibrium Configuration: Problem Solving

Stability of Equilibrium Configuration: Problem Solving

The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Vortex inverted pin beams: mitigation of scintillations in strong atmospheric turbulence.

Optics letters·2024

Same author

Statistical mechanics and pressure of composite multimoded weakly nonlinear optical systems.

Optics letters·2024

Same author

Dalton's law of partial optical thermodynamic pressures in highly multimoded nonlinear photonic systems.

Optics letters·2024

Same author

Nature of Optical Thermodynamic Pressure Exerted in Highly Multimoded Nonlinear Systems.

Physical review letters·2023

Same author

Inverted pin beams for robust long-range propagation through atmospheric turbulence.

Optics letters·2023

Same author

Tunable self-similar Bessel-like beams of arbitrary order.

Optics letters·2020

Search research articles

Related Experiment Video

Updated: May 30, 2026

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

Airy trajectory engineering in dynamic linear index potentials.

Nikolaos K Efremidis¹

¹Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete, Greece. nefrem@tem.uoc.gr

|August 3, 2011

Summary

Airy beams can precisely follow any specified path in dynamically changing optical potentials. This study provides exact solutions for Airy beam propagation, enabling controlled beam steering.

Area of Science:

Nonlinear optics
Wave propagation physics

Background:

Airy beams exhibit unique self-healing and non-diffracting properties.
Controlling light beam trajectories is crucial for optical manipulation and communication.

Purpose of the Study:

To investigate the propagation dynamics of Airy beams in transversely linear index potentials with dynamic gradient changes.
To derive exact solutions for Airy beam propagation in such potentials.
To demonstrate the ability of Airy beams to follow arbitrary paths.

Main Methods:

Analytical derivation of exact solutions for Airy beam propagation.
Analysis of beam dynamics in 1+1 and 2+1 dimensions.
Formulation of the potential gradient required for path following.

More Related Videos

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Related Experiment Videos

Last Updated: May 30, 2026

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Main Results:

Exact solutions found for Airy and apodized Airy beams (Gaussian, exponential).
Demonstrated that Airy beams can be guided along any predefined trajectory.
Established the relationship between the beam path and the required potential gradient.

Conclusions:

Airy beams offer unprecedented control over light path propagation in dynamic optical potentials.
The findings pave the way for novel applications in optical trapping, micromanipulation, and integrated photonics.