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Related Concept Videos

X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Law of Rational Indices01:29

Law of Rational Indices

The Law of rational indices is a fundamental principle in the field of crystallography. According to this law, the intercepts of a crystal face along the crystallographic axes (the three-dimensional axes along which a crystal is measured) can be expressed as either equivalent to the unit intercepts (a, b, c) or simple whole number multiples of them. These multiples are typically denoted as na, n'b, and n''c, where n, n', and n'' are simple whole numbers.To illustrate, consider a crystal with...
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Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...

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Updated: May 13, 2026

Fabrication of 1-D Photonic Crystal Cavity on a Nanofiber Using Femtosecond Laser-induced Ablation
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Published on: February 25, 2017

Analytical approximation for photonic array modes in one-dimensional photonic crystal devices.

Elena Smith1, Vladislav Shteeman, Amos A Hardy

  • 1ORT Braude College of Engineering, Department of Electrical and Electronic Engineering, Karmiel, Israel. eln.smth@gmail.com

Applied Optics
|March 13, 2013
PubMed
Summary

A new analytical approximation simplifies the study of one-dimensional photonic crystals. This method accurately calculates electromagnetic fields in devices like waveguide arrays and laser arrays.

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Last Updated: May 13, 2026

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

Published on: September 26, 2014

Area of Science:

  • Photonics and Wave Phenomena
  • Solid-State Physics
  • Electromagnetism

Background:

  • Photonic crystals, particularly one-dimensional (1D) arrays, are crucial in modern optics.
  • Accurate modeling of array modes is essential for device design and performance prediction.
  • Existing methods for analyzing photonic array modes can be computationally intensive.

Purpose of the Study:

  • To develop a novel analytical approximation for photonic array modes.
  • To provide fast, simple, and accurate evaluation of electromagnetic fields in 1D photonic crystal devices.
  • To enable efficient analysis of devices such as coupled waveguide arrays and phase-locked laser arrays.

Main Methods:

  • Development of approximate analytical expressions for array modes.
  • Focus on one-dimensional photonic crystals with light propagation along the optical axis.
  • Mathematical derivation of spatial distribution and propagation constants for array modes.

Main Results:

  • Successful derivation of approximate analytical expressions for array modes.
  • Demonstration of the method's applicability to large arrays of coupled identical planar waveguides and phase-locked lasers.
  • Validation of the approach for accurate electromagnetic field evaluation.

Conclusions:

  • The presented analytical approximation offers a significant advancement in the study of 1D photonic crystals.
  • This method provides a computationally efficient alternative for analyzing photonic array devices.
  • The findings facilitate faster and more accurate design and understanding of photonic integrated circuits.