Abstract

Theoretical analysis has shown that a two-dimensional (2D) lattice with circular columns connected by veins can produce a large complete bandgap when the radius of the columns and the width of the veins are properly chosen. We propose a holographic method to fabricate a similar 2D structure of irregular columns that can yield a 2D complete bandgap for a wide range of dielectric contrasts and a bandgap as large as 15.0% for ϵ=11.4 and 15.8% for ϵ=13.6. The specific problems of interference beam design, intensity threshold selection, and the effect of the shape and size of the unit cells on the final bandgap are discussed. This analysis demonstrates the unique features and advantages of the holographic method in bandgap engineering and gives a guideline for practical fabrication.

© 2006 Optical Society of America

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