一种具有宽的全禁带的二维正方光子晶体的全息设计.pdf

Holographic design of a two-dimensional photonic crystal of square lattice with large complete band 1 gap 1, 2 1 1 1 1 1 L. Z. Cai,* , G. Y. Dong , C. S. Feng , X. F. Meng , X.L. Yang , X. X. Shen 1 Department of Optics, Shandong University, PRC 250100 2 State Key Laboratory of Crystal Materials, Shandong University, PRC 250100 *lzcai@ Abstract Theoretical analysis has shown that a two-dimensional (2D) lattice with circular columns connected by veins can produce large complete band gap when the radius of columns and the width of veins are properly chosen. Here we propose a holographic method to fabricate a similar 2D structure of irregular columns which can yield a complete band gap for a wide range of dielectric contrast and the band gap is 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 final band gap are discussed. This analysis demonstrates the unique feature and advantages of holographic method in band gap engineering and gives a guideline for practical fabrication. Keywords: Photonic Crystals, Holographic Interference, Band Gap Analysis , Micr