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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:

Plane Electromagnetic Waves II

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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.
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Modes of Standing Waves: II

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Propagation of Waves

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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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Characterization of Anisotropic Leaky Mode Modulators for Holovideo

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Waveguide holographic elements recorded by guided modes.

L Singher, J Shamir

|September 24, 2010

Summary

This summary is machine-generated.

Efficiently record holographic optical elements in planar waveguides using guided modes. This method simplifies integrated optics by enabling holographic gratings to focus light, eliminating the need for extra lenses.

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Last Updated: Jun 8, 2026

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Area of Science:

Optics and Photonics
Materials Science

Background:

Recording holographic optical elements in planar waveguides offers advantages.
Guided modes are typically confined within the waveguide core.

Purpose of the Study:

To demonstrate efficient recording of holographic optical elements using guided modes in planar waveguides.
To analyze and implement an integrated optic wavelength-division demultiplexer as a specific application.

Main Methods:

Recording holograms using guided modes where only a fraction penetrates external recording material.
Utilizing the holographic grating as a focusing element within the integrated optic device.

Main Results:

Holographic optical elements can be efficiently recorded under these conditions.
The integrated optic wavelength-division demultiplexer functions effectively, with the grating serving dual purposes.

Conclusions:

This technique allows for efficient hologram recording in planar waveguides.
The integrated design simplifies optical systems by combining holographic grating and focusing functions, reducing component count.