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Related Concept Videos

Propagation of Waves01:07

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...
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:
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
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.
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Updated: Jun 20, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Nonlinear wave propagation along a bent nonlinear dielectric interface.

K Ogusu1

  • 1Department of Electrical Engineering, Shizuoka University, Hamamatsu, 432 Japan.

Optics Letters
|September 24, 2009
PubMed
Summary

Nonlinear surface waves can propagate along bent interfaces toward nonlinear media, enabling lower-threshold all-optical waveguide devices. This research verifies nonlinear surface wave propagation and aids in designing waveguide devices with bends.

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Last Updated: Jun 20, 2026

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

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
09:43

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

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Area of Science:

  • Nonlinear optics
  • Waveguide theory
  • Photonics

Background:

  • Nonlinear surface waves are crucial for optical devices.
  • Understanding their behavior at interfaces is essential for device design.
  • Bent interfaces present unique challenges for wave propagation.

Purpose of the Study:

  • Investigate transmission properties of bent nonlinear interfaces.
  • Derive threshold power for straight interfaces.
  • Explore propagation characteristics of surface waves at bent interfaces.

Main Methods:

  • Utilized the beam-propagation method for numerical simulations.
  • Developed an approximate analytical solution for threshold power.
  • Analyzed wave propagation along abruptly and uniformly bent interfaces.

Main Results:

  • Surface waves propagate along interfaces bent toward nonlinear media.
  • Surface waves do not propagate along interfaces bent toward linear media.
  • Bent interfaces offer potential for lower-threshold all-optical devices.

Conclusions:

  • Bent nonlinear interfaces can support surface wave propagation.
  • These findings are valuable for designing all-optical waveguide devices with bends and tapers.
  • The study provides a basis for experimental verification of nonlinear surface waves.