Related Experiment Video
Updated: Nov 9, 2025

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
12.4K
Theory for Twisted Bilayer Photonic Crystal Slabs
Beicheng Lou1, Nathan Zhao1, Momchil Minkov2
1Department of Applied Physics, and Ginzton Laboratory, Stanford University, Stanford, California 94305, USA.
Physical Review Letters
|April 16, 2021
Summary
We analyze twisted bilayer photonic crystals, revealing tunable optical properties and chiral behavior. This research offers a theoretical basis for understanding complex photonic systems.
Area of Science:
- Photonics and optical physics.
- Condensed matter physics.
Background:
- Photonic crystal slabs are crucial for controlling light.
- Twisted bilayer structures introduce unique physical phenomena.
- Existing methods often face limitations with arbitrary twist angles.
Purpose of the Study:
- To analyze the scattering properties of twisted bilayer photonic crystal slabs.
- To develop a method applicable to arbitrary twist angles.
- To understand the tunable optical and chiral behaviors in these systems.
Main Methods:
- Utilizing a high-dimensional plane wave expansion method.
- Overcoming limitations of the supercell approximation.
- Employing a correspondence relation for semianalytical accounting.
Main Results:
- Demonstrated strongly tunable resonance properties.
- Observed strongly tunable resonant chiral behavior.
- The method is applicable for arbitrary twist angles.
Conclusions:
- The study provides a robust theoretical foundation for twisted multilayer photonic crystals.
- Enables prediction and understanding of rich optical physics.
- Highlights the potential for novel photonic device applications.
Related Concept Videos
X-ray Crystallography
24.8K
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...
24.8K
The de Broglie Wavelength
31.4K
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...
31.4K
Crystal Field Theory - Tetrahedral and Square Planar Complexes
45.8K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
45.8K
Standing Waves in a Cavity
1.2K
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:
1.2K

