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Related Concept Videos

Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
Imperfections in Crystal Structure: Stoichiometric Point Defects01:26

Imperfections in Crystal Structure: Stoichiometric Point Defects

Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
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:
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
Structures of Solids02:22

Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...

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Related Experiment Video

Updated: Jun 4, 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

Surface line defect solitons in square optical lattice.

Zhien Lu1, Zhi-Ming Zhang

  • 1Laboratory of Photonic Information Technology, SIPSE & LQIT, South China Normal University, Guangzhou 510006, China.

Optics Express
|March 4, 2011
PubMed
Summary

Surface line defect gap solitons (SLDGSs) in 2D optical lattices exhibit unique properties. Defects alter soliton shape and stability, enabling stable solitons in new lattice gaps.

Area of Science:

  • Nonlinear Optics
  • Condensed Matter Physics
  • Materials Science

Background:

  • Optical lattices are crucial for controlling light propagation.
  • Surface line defects introduce unique boundary conditions.
  • Saturable nonlinearity affects soliton behavior.

Purpose of the Study:

  • Investigate surface line defect gap solitons (SLDGSs).
  • Analyze the impact of a 2D square optical lattice defect on soliton properties.
  • Explore stability and existence of solitons in different lattice gaps.

Main Methods:

  • Theoretical study of SLDGSs at the interface of a 2D square optical lattice defect and uniform media.
  • Analysis of focusing saturable nonlinearity.
  • Numerical simulations to determine soliton shape and stability.

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Last Updated: Jun 4, 2026

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

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Published on: November 30, 2012

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

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Fabrication of 1-D Photonic Crystal Cavity on a Nanofiber Using Femtosecond Laser-induced Ablation
13:02

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Published on: February 25, 2017

Main Results:

  • Surface line defects significantly influence soliton shape and stability.
  • Stable solitons exist in both semi-infinite and first gaps for negative defects.
  • Positive defects allow stable solitons in the semi-infinite gap, particularly at low powers.

Conclusions:

  • Surface line defects offer novel ways to control soliton dynamics in optical lattices.
  • The presence of defects expands the parameter space for stable gap soliton formation.
  • This research provides insights into defect-engineered photonic structures.