Related Experiment Video
Updated: Jun 22, 2026

04:35
Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Creation of vortex lattices by a wavefront division
J Masajada1, A Popiolek-Masajada, M Leniec
1Institute of Physics, Wrocław University of Technology, Wybrze e Wyspia skiego 27, 50-370 Wrocław, Poland. jan.masajada@pwr.wroc.pl
Optics Express
|June 18, 2009
Summary
This study explores wave diffraction through multiple small holes, revealing a unique optical vortex lattice. Analytical formulas were derived for vortex positions, offering insights beyond the classic double-slit experiment.
Area of Science:
- Optics
- Wave Phenomena
- Diffraction Physics
Background:
- Young's double-slit experiment is a foundational concept in physics.
- Investigating wave diffraction through multiple apertures is crucial for understanding interference patterns.
Purpose of the Study:
- To investigate the diffraction of plane or spherical waves through three or four small holes.
- To analyze the optical vortex lattice generated by this arrangement.
- To derive analytical formulas for vortex point positions and compare with the double-slit experiment.
Main Methods:
- Theoretical analysis of wave diffraction through multiple apertures.
- Identification and characterization of optical vortices in the interference field.
- Derivation of analytical formulae for vortex lattice points.
Main Results:
- An optical vortex lattice was observed in the interference field.
- The vortex lattice generated by three holes exhibited unique properties.
- Analytical formulae for vortex point positions were successfully derived.
Conclusions:
- The three-hole arrangement generates a unique optical vortex lattice with derivable properties.
- This setup offers a distinct phenomenon compared to the classic double-slit experiment.
- Potential applications of this optical vortex arrangement were briefly discussed.
More Related Videos
Related Concept Videos
Bewley Lattice Diagram
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
Propagation of Waves
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Equations of Wave Motion
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
Reflection of Waves
When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...

