Please help us continue to improve nanoHUB operation and service by completing our survey - http://bit.ly/nH-survey14. Thank you - we appreciate your time. close

Support

Support Options

Submit a Support Ticket

 

Simple Photonic Crystals

By Jing Ouyang1, Xufeng Wang1, Minghao Qi1

1. Purdue University

Photonic Crystal characteristics in an easy way

Launch Tool

You must login before you can run this tool.

Version 1.0.2 - published on 13 Nov 2014

doi:10.4231/D32N4ZJ7Z cite this

This tool is closed source.

View All Supporting Documents

Category

Tools

Published on

Abstract

Simple 2D photonic crystals are composed of periodic dielectric structures in a two-dimensional world. Electromagnetic waves in 2D are decomposed into two categories: TE and TM. Maxwell's equations are thus eigenvalue equations solving for TE and TM modes. A set of eigenfrequencies exist for each wavevector k. The plot of frequencies v.s. wavevectors is so-called band diagram.

We explore a set of rods arranged either in square or triangular lattice. The left part of the picture shows solid rods of square lattice in air background, while the right shows air rods of triangular lattice in solid background. The lattice constants are used as length units. We solve the band diagrams for both TE and TM modes. Try it out solving band diagrams for yourselves.

Powered by

This application is powered by
MIT Photonic-Bands,
MIT

References

Steven G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis (http://www.opticsexpress.org/oearchive/source/27937.htm)," Optics Express 8, no. 3, 173-190 (2001).

Cite this work

Researchers should cite this work as follows:

  • Jing Ouyang; Xufeng Wang; Minghao Qi (2014), "Simple Photonic Crystals," http://nanohub.org/resources/phcband. (DOI: 10.4231/D32N4ZJ7Z).

    BibTex | EndNote

Tags

nanoHUB.org, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.