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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:
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
Crystallographic Point Groups01:29

Crystallographic Point Groups

Crystallographic point groups represent the various symmetry operations that can occur within crystals. They are unique in that at least one point will always remain unchanged during these actions. For instance, consider the triclinic system. This system, devoid of any axis or plane of symmetry, aligns with the C1 and Ci point groups.where Cᵢ is characterized solely by a center of inversion.Contrastingly, the monoclinic system introduces an element of symmetry. This system with one plane and...

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Related Experiment Video

Updated: May 18, 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

First-principles method for high-Q photonic crystal cavity mode calculations.

Sahand Mahmoodian1, J E Sipe, Christopher G Poulton

  • 1CUDOS and IPOS, School of Physics, University of Sydney, Australia.

Optics Express
|October 6, 2012
PubMed
Summary
This summary is machine-generated.

We developed a fast method to calculate radiation properties for high-quality photonic crystal cavities. This new approach significantly speeds up the computation of cavity modes and their radiation patterns.

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Published on: November 30, 2012

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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

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Area of Science:

  • Photonics
  • Computational Physics
  • Materials Science

Background:

  • Photonic crystal cavities are crucial for light manipulation.
  • Calculating their radiation properties is computationally intensive.
  • Existing methods limit the design and analysis of these cavities.

Purpose of the Study:

  • To introduce a novel, rapid method for computing photonic crystal cavity radiation properties.
  • To enable faster design and analysis of ultra-high quality factor cavities.
  • To elucidate the relationship between cavity design and radiation characteristics.

Main Methods:

  • Developed a first-principles computational method named Frequency-domain Approach for Radiation (FAR).
  • FAR computes far-field radiation patterns and quality factors.
  • FAR achieves speeds approximately 100 times faster than traditional finite-difference time-domain methods.

Main Results:

  • Demonstrated the computational efficiency of the FAR method.
  • Successfully computed radiation properties of ultra-high quality factor photonic crystal cavities.
  • Established the dependence of the radiation pattern on cavity perturbation and Bloch modes.

Conclusions:

  • The FAR method offers a significant speedup for calculating photonic crystal cavity radiation properties.
  • This method facilitates the design and optimization of advanced photonic devices.
  • Understanding the influence of perturbations and Bloch modes is key to controlling radiation.