Related Experiment Video
Updated: Jun 25, 2026
10:35
Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
Long-wavelength behavior of two-dimensional photonic crystals
1Barton Research Institute, University of Delaware, Newark, Delaware 19716, USA.
Summary
We analytically solved multiple-scattering equations for 2D photonic crystals. This work clarifies plasmon-polariton bands and identifies a tunable magnetic surface plasmon band, crucial for optical device applications.
Area of Science:
- Condensed matter physics
- Photonics
- Materials science
Background:
- Photonic crystals offer unique light manipulation properties.
- Understanding electromagnetic wave interactions is key for designing advanced optical materials.
- Long-wavelength phenomena in photonic crystals are crucial for many applications.
Purpose of the Study:
- To analytically solve multiple-scattering equations for 2D photonic crystals in the long-wavelength limit.
- To clarify the nature of plasmon-polariton bands.
- To identify and discuss a tunable magnetic surface plasmon band.
Main Methods:
- Analytical solution of multiple-scattering equations.
- Unified pseudopotential approach for electric and magnetic susceptibilities.
- Analysis of frequency dependence on wire radius.
Main Results:
- The study provides an analytical solution for 2D photonic crystals in the long-wavelength limit.
- Different approximations of electric and magnetic susceptibilities are derived.
- The nature of plasmon-polariton bands is clarified, with frequency dependence on wire radius discussed.
- A tunable magnetic surface plasmon band is identified.
Conclusions:
- The research offers a comprehensive analytical framework for understanding electromagnetic behavior in 2D photonic crystals.
- The findings contribute to the understanding of plasmon-polariton and magnetic surface plasmon bands.
- This work provides insights for designing tunable optical devices based on photonic crystals.
Related Concept Videos
02:32The de Broglie Wavelength
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
02:18X-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...
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...
02:18Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
01:28Standing 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:
01:29Determination 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...
02:12The Wave Nature of Light
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.