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$Microcrystal Electron Diffraction of Small Molecules$

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Asymmetric conical diffraction in dislocated edge-centered square lattices.

Hua Zhong, Rong Wang, Milivoj R Belić

|March 17, 2019

Summary

This summary is machine-generated.

We studied light beam propagation in a novel dislocated square lattice. Both focusing and defocusing nonlinearities were found to enhance asymmetric conical diffraction, offering new insights into light dynamics.

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Area of Science:

Photonics and optical physics
Condensed matter physics
Materials science

Background:

Lattices with specific symmetries, such as square lattices, are crucial for controlling light propagation.
Dislocations in lattices can introduce unique topological and optical properties.
Understanding light-matter interactions in engineered materials is key to developing advanced optical devices.

Purpose of the Study:

To investigate the linear and nonlinear propagation dynamics of light beams in a dislocated edge-centered square lattice.
To analyze the band structure and Bloch modes of this novel lattice.
To demonstrate and understand the phenomenon of asymmetric conical diffraction.

Main Methods:

Analytical and numerical analysis of band structure and Brillouin zones.
Tight-binding approximation to explain the asymmetry of Dirac cones.
Utilizing Bloch modes to demonstrate linear and nonlinear conical diffraction.

Main Results:

The novel lattice exhibits asymmetric Dirac cones and corresponding Bloch modes.
The asymmetry of Dirac cones is explained using the tight-binding approximation.
Both linear and nonlinear asymmetric conical diffraction were successfully demonstrated.
Focusing and defocusing nonlinearities were observed to enhance the asymmetry of conical diffraction.

Conclusions:

The dislocated edge-centered square lattice supports unique optical phenomena like asymmetric conical diffraction.
The study provides a theoretical and numerical framework for understanding light propagation in such engineered lattices.
Nonlinear effects can be exploited to control and enhance asymmetric light diffraction patterns.