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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:

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Related Experiment Video

Updated: Apr 12, 2026

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Finite-width plasmonic waveguides with hyperbolic multilayer cladding.

Viktoriia E Babicheva, Mikhail Y Shalaginov, Satoshi Ishii

|May 14, 2015

Summary

This summary is machine-generated.

Engineered plasmonic metamaterials with hyperbolic dispersion allow tailored waveguide properties. Avoiding resonant cladding widths eliminates strong absorption, enabling efficient metamaterial waveguide design.

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Last Updated: Apr 12, 2026

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Area of Science:

Physics
Materials Science
Nanotechnology

Background:

Plasmonic metamaterials offer unique optical properties.
Anisotropic dispersion in metamaterials enables tailored waveguide characteristics.
Metal-dielectric multilayer structures exhibit hyperbolic dispersion.

Purpose of the Study:

To investigate plasmonic waveguides with hyperbolic dispersion.
To understand the coupling between waveguide modes and cladding eigenmodes.
To identify design principles for minimizing absorption in metamaterial waveguides.

Main Methods:

Calculation of resonant eigenmodes for finite-width multilayer metal-dielectric claddings without homogenization.
Analysis of the dispersion characteristics of cladded plasmonic waveguides.
Identification of resonant widths leading to strong absorption.

Main Results:

Agreement found between calculated cladding eigenmodes and waveguide dispersion resonant features.
Propagating modes couple to cladding eigenmodes at resonant widths, causing strong absorption.
Strong absorption can be avoided by designing waveguides with non-resonant cladding widths.

Conclusions:

The study elucidates the mechanism of strong absorption in hyperbolic plasmonic waveguides.
Design guidelines are provided to eliminate unwanted absorption by controlling cladding dimensions.
This work facilitates the development of efficient metamaterial-based optical devices.