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Standing Waves in a Cavity

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:

Modes of Standing Waves: II

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.

Standing Waves

Standing Waves

Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...

$Interference and Diffraction$ 02:18

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.

Modes of Standing Waves - I

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...

Propagation of Waves

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...

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Related Experiment Video

Updated: Jun 25, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Confining standing waves in optical corrals.

Yelizaveta Babayan¹, Jeffrey M McMahon, Shuzhou Li

¹Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, USA.

|February 27, 2009

Summary

This summary is machine-generated.

Researchers visualized light patterns confined within microscale corrals using near-field scanning optical microscopy. These light patterns, or standing waves, can be precisely controlled by adjusting corral properties and incident light characteristics.

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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Published on: August 12, 2013

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Last Updated: Jun 25, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Area of Science:

Optics and Photonics
Materials Science
Nanotechnology

Background:

Controlling light at the nanoscale is crucial for developing advanced optical devices.
Microscale structures offer a platform for manipulating light confinement and propagation.

Purpose of the Study:

To investigate the confinement and behavior of light within microscale corrals.
To demonstrate the tunability of light patterns by altering structural and incident light parameters.

Main Methods:

Near-field scanning optical microscopy (NSOM) was employed to image light patterns.
Finite-difference time-domain (FDTD) calculations were used for theoretical analysis.
Modal analysis was performed to understand field behavior.

Main Results:

Standing wave patterns of light were observed confined within circular and elliptical microscale corrals.
The wavelength of confined light was comparable to the incident light.
Tunable control over light patterns was achieved by modifying corral dimensions, materials, incident light wavelength, and polarization.

Conclusions:

Experimental and theoretical findings confirm predictable control over electromagnetic fields on dielectric surfaces.
The observed phenomena are explained by waveguide modes and the superposition of propagating and evanescent modes.
Microscale corrals provide a versatile platform for nanoscale light manipulation.