Bandgap optimization of 2D photonic crystals

Caihua Chen; Ahmed S. Sharkawy; Shouyuan Shi; Dennis W. Prather

doi:10.1117/12.524297

9 July 2004 Bandgap optimization of 2D photonic crystals

Caihua Chen, Ahmed S. Sharkawy, Shouyuan Shi, Dennis W. Prather

Proceedings Volume 5360, Photonic Crystal Materials and Devices II; (2004) https://doi.org/10.1117/12.524297
Event: Integrated Optoelectronic Devices 2004, 2004, San Jose, CA, United States

Abstract

In this paper, a procedure for optimizing two-dimensional (2D) photonic crystals (PhC) is presented. In this procedure, the unit cell of a PhC structure is discretized into small grids and converted into a binary sequence. A direct binary search (DBS) method is then used to search through a terrain of possible solutions in order to find a more optimal one. This process is designed for improving the absolute band gap, opening a new one, for a predefined PBG structure. By applying this procedure on a honeycomb array of dielectric rods in air background, the maximum absolute gap-to-midgap ratio (MAGTMR) is increased to more than twice that of the initial structure. To further prove the validity of this procedure, this procedure is also applied to two best-found hexagonal and square lattice structures. The band gap improvements in these two cases indicate that besides structure type, structure symmetry, fill factor, index contrast, and size, shape and orientation of the constituent objects, there are other unknown factors, which affect the absolute band gap of a photonic crystal as well. The convergence property of this procedure is also discussed in this paper. The idea of this procedure can be applied to find the global optimal solution by using a global optimization algorithm, such as simulated annealing (SA), genetic algorithm (GA).

Citation Download Citation

Caihua Chen, Ahmed S. Sharkawy, Shouyuan Shi, and Dennis W. Prather "Bandgap optimization of 2D photonic crystals", Proc. SPIE 5360, Photonic Crystal Materials and Devices II, (9 July 2004); https://doi.org/10.1117/12.524297

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