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Related Concept Videos

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:
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Band Theory02:35

Band Theory

When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...

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Related Experiment Video

Updated: Jun 8, 2026

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

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

Published on: February 25, 2017

Nonlinear localized modes in bandgap microcavities.

Wen-Xing Yang1, Yuan-Yao Lin, Tsin-Dong Lee

  • 1Department of Physics, Southeast University, Nanjing 210096, China. wenxingyang2@126.com

Optics Letters
|October 5, 2010
PubMed
Summary
This summary is machine-generated.

Researchers demonstrated localized optical modes in a bandgap vertical cavity surface emitting laser (VCSEL) without a holding beam. This study analyzes linear and nonlinear cavity modes in surface-structured VCSELs.

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Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing
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Area of Science:

  • Semiconductor physics
  • Optoelectronics
  • Photonics

Background:

  • Vertical cavity surface-emitting lasers (VCSELs) are crucial optoelectronic devices.
  • Bandgap engineering in semiconductor structures offers novel optical properties.
  • Microcavities can confine light, influencing laser behavior.

Purpose of the Study:

  • To experimentally investigate an electrically pumped GaAs-based bandgap VCSEL structure.
  • To demonstrate localized optical modes in a microcavity within the bandgap VCSEL.
  • To model and analyze electromagnetic modes, including linear and nonlinear behaviors, in surface-structured VCSELs.

Main Methods:

  • Experimental study of a GaAs-based bandgap VCSEL.
  • Fabrication and characterization of a microcavity embedded in the VCSEL.
  • Development of a reduced dissipative wave equation model for electromagnetic modes.
  • Analysis of the transition between linear and nonlinear cavity modes.

Main Results:

  • Demonstration of localized optical modes supported by the microcavity without requiring a holding beam.
  • Successful modeling of surface-structured VCSELs using a reduced dissipative wave equation.
  • Analysis of the crossover between linear and nonlinear solitonlike cavity modes.

Conclusions:

  • The bandgap VCSEL structure effectively supports localized optical modes.
  • The proposed model accurately describes electromagnetic modes in these semiconductor cavities.
  • Understanding the linear-nonlinear crossover is key for advanced VCSEL applications.