Engineering band gaps in highly symmetric photonic crystals

Tom D.M. Lee; Majd E. Zoorob; Simon J. Cox; Martin D.B. Charlton; Greg J. Parker

doi:10.1117/12.588664

13 April 2005 Engineering band gaps in highly symmetric photonic crystals

Tom D.M. Lee, Majd E. Zoorob, Simon J. Cox, Martin D.B. Charlton, Greg J. Parker

Proceedings Volume 5733, Photonic Crystal Materials and Devices III; (2005) https://doi.org/10.1117/12.588664
Event: Integrated Optoelectronic Devices 2005, 2005, San Jose, California, United States

Abstract

A novel method for producing photonic crystals with high orders of rotational symmetry using an inverse Fourier transform (IFT) method is presented. The IFT of an n-sided polygon is taken and the position of the peaks are computed in order to obtain a set of discrete points in real space where the scattering centres are to be located. We show, by simulating the diffraction pattern, that although these points appear disordered, they possess long range order, which also confirms that the arrangement of points has n-fold rotational symmetry. The structures thus possess an arbitrary number of rotational symmetries, whilst retaining the sharp diffraction patterns characteristic of known crystal lattices which exhibit wide band gaps. We present simulation results using the finite difference time domain method (FDTDM) for large non repeating patterns of scatterers produced by this method. We also present results where around 50 points have been generated in a square unit cell and tiled to produce a lattice. These, were simulated using both the finite element method (FEM) and the FDTDM, which agree well. Our results demonstrate that the method is capable of producing crystal structures with wide band gaps where the scattering centres are either non-repeating with no fundamental unit cell, or consist of a (large) number of points in a unit cell, which may then be tiled to form a lattice.

Citation Download Citation

Tom D.M. Lee, Majd E. Zoorob, Simon J. Cox, Martin D.B. Charlton, and Greg J. Parker "Engineering band gaps in highly symmetric photonic crystals", Proc. SPIE 5733, Photonic Crystal Materials and Devices III, (13 April 2005); https://doi.org/10.1117/12.588664

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Photonic crystals

Finite element methods

Finite-difference time-domain method

Diffraction

Crystals

Polarization

Fourier transforms

Show All Keywords

Keywords/Phrases

Search In:

Publication Years