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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:

Chirality

Chirality

Chirality is a term that describes the lack of mirror symmetry in an object. In other words, chiral objects cannot be superposed on their mirror images. For example, our feet are chiral, as the mirror image of the left foot, the right foot, cannot be superposed on the left foot.
Chiral objects exhibit a sense of handedness when they interact with another chiral object. For example, our left foot can only fit in the left shoe and not in the right shoe. Achiral objects — objects that have...

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...

Reflection of Waves

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...

Standing Electromagnetic Waves

Standing Electromagnetic Waves

Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...

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...

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Related Experiment Video

Updated: Jun 20, 2026

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Published on: August 13, 2019

Surface waves in chiral layers.

N Engheta, P Pelet

|September 24, 2009

Summary

This summary is machine-generated.

This study examines surface-wave propagation in chiral slab waveguides, detailing dispersion relations and electric-field components. Chirality significantly impacts wave behavior, offering insights for novel applications.

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Last Updated: Jun 20, 2026

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy

Published on: August 13, 2019

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp

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Published on: February 3, 2014

Area of Science:

Electromagnetism and Optics
Materials Science

Background:

Chiral materials exhibit unique electromagnetic properties due to their non-superimposable mirror images.
Optically active materials rotate the plane of polarized light.
Understanding wave propagation in chiral structures is crucial for advanced device design.

Purpose of the Study:

To analyze surface-wave propagation in homogeneous chiral slab waveguides.
To investigate two configurations: symmetric and grounded chiral slab waveguides.
To elucidate the effects of chirality on wave characteristics and identify potential applications.

Main Methods:

Theoretical analysis of dispersion relations for surface waves.
Detailed examination of electric-field components in symmetric chiral slabs.
Numerical plotting of dispersion diagrams and field intensities for both waveguide types.

Main Results:

Novel features in dispersion diagrams and electric-field component intensities were identified for chiral slabs.
The influence of chirality on these wave propagation characteristics was systematically discussed.
Specific insights into the physical behavior of surface waves in chiral environments were gained.

Conclusions:

Chirality fundamentally alters surface-wave propagation in slab waveguides.
The findings provide a basis for designing novel electromagnetic devices utilizing chiral materials.
Further research into the physical insights and potential applications is warranted.