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

NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences

NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences

A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.

Impulse-Momentum Theorem

Impulse-Momentum Theorem

The total change in the motion of an object is proportional to the total force vector acting on it and the time over which it acts. This product is called impulse, a vector quantity with the same direction as the total force acting on the object.
By writing Newton's second law of motion in terms of the momentum of an object and the external force acting on it, and simultaneously using the definition of the impulse vector, it can be shown that the total impulse on an object is equal to its net...

Region of Convergence of Laplace Tarnsform

Region of Convergence of Laplace Tarnsform

The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This substitution...

Divergence and Curl of Magnetic Field

Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:

Rectangular and Triangular Pulse Function

Rectangular and Triangular Pulse Function

The unit rectangular pulse function is mathematically represented by a rectangular function centered at the origin with a height of one unit. This function is defined by two parameters: T, which specifies the center location of the pulse along the time axis, and τ, which determines the pulse duration.
For example, consider a rectangular pulse with a 5V amplitude, a 3-second duration, and centered at t=2 seconds. This pulse can be expressed using the rectangular function, written as,

Plane Electromagnetic Waves I

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...

You might also read

Related Articles

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

Sort by

Same author

Effects of angular momentum on eigenvalue statistics in a two-dimensional quantum system with rotational symmetry.

Physical review. E·2026

Same author

Poincaré sphere representation of the Wigner distribution function of Ince-Gauss beams.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026

Same author

Wigner distribution function of Bessel-Gauss beams.

Optics express·2026

Same author

Streamlines of modified vector Mathieu-Gauss beams.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025

Same author

Solutions of the Lippmann-Schwinger equation for confocal parabolic billiards.

Physical review. E·2024

Same author

Quantum states resembling classical periodic trajectories in mesoscopic elliptic billiards.

Physical review. E·2024

Search research articles

Related Experiment Video

Updated: Jul 10, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Helical Mathieu and parabolic localized pulses.

Josue Davila-Rodriguez¹, Julio C Gutiérrez-Vega

¹Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey, México 64849.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|November 3, 2007

Summary

Researchers explored novel higher-order helical Mathieu X waves and parabolic X waves. These unique, localized light pulses possess distinct mathematical and physical properties for advanced optical applications.

More Related Videos

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Related Experiment Videos

Last Updated: Jul 10, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Area of Science:

Optics and Photonics
Wave Phenomena

Background:

Nondiffracting beams, such as Mathieu and parabolic beams, are crucial in optical research.
Helical beams exhibit unique phase properties.

Purpose of the Study:

To investigate novel higher-order helical Mathieu X waves.
To study traveling and stationary parabolic X waves.
To analyze the mathematical and physical characteristics of these newly identified localized pulses.

Main Methods:

Utilizing polychromatic superpositions of helical Mathieu and parabolic nondiffracting beams.
Theoretical analysis of wave properties.

Main Results:

First-time study of higher-order helical Mathieu X waves.
First-time study of traveling and stationary parabolic X waves.
Detailed discussion of the mathematical and physical properties of these novel X waves.

Conclusions:

The study introduces and characterizes new classes of localized light waves.
These findings expand the understanding of nondiffracting and X wave phenomena.
The research provides a foundation for future applications of these specialized optical beams.