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Related Concept Videos

Electromagnetic Waves in Matter01:30

Electromagnetic Waves in Matter

Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
Propagation of Waves01:07

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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...
Standing Waves in a Cavity01:28

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 II01:29

Plane Electromagnetic Waves II

Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
Propagation Speed of Electromagnetic Waves01:30

Propagation Speed of Electromagnetic Waves

Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

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.
The EM field is assumed to be a...

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

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Published on: November 30, 2012

Reflectionless evanescent-wave amplification by two dielectric planar waveguides: erratum.

Mankei Tsang1, Demetri Psaltis

  • 1Department of Electrical Engineering, California Institute of Technology, Pasadena, California 91125, USA.

Optics Letters
|December 15, 2006
PubMed
Summary

This Erratum corrects previous findings on dielectric slabs. Reflectionless evanescent-wave amplification is achievable under specific conditions in two dielectric planar waveguides.

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Area of Science:

  • Optics and Photonics
  • Waveguide Theory

Background:

  • Previous work suggested zero reflection coefficient for two dielectric slabs at single-waveguide resonance.
  • This assertion requires correction based on a more rigorous derivation.

Purpose of the Study:

  • To correct the assertion regarding the reflection coefficient of two dielectric slabs.
  • To derive the accurate conditions for achieving reflectionless evanescent-wave amplification.

Main Methods:

  • Revisiting the theoretical derivation for the reflection coefficient of coupled dielectric waveguides.
  • Analyzing the conditions for resonance in a two-slab waveguide system.

Main Results:

  • The total reflection coefficient does not approach zero at single-waveguide resonance.
  • Correct conditions for achieving reflectionless evanescent-wave amplification have been identified.

Conclusions:

  • The previous conclusion regarding zero reflection was inaccurate.
  • Reflectionless evanescent-wave amplification is possible in two-dielectric planar waveguides under specific derived conditions.