• 光纤光学与光通信 •

### 基于超晶格结构衍射图的倒易矢量分布

1. 中国传媒大学 理工学部, 北京 100024
• 收稿日期:2014-08-29 出版日期:2015-05-25 发布日期:2015-05-25
• 作者简介:马博琴(1976 -) , 女, 副教授, 博士, 主要研究方向为非线性光子晶体.Email:maboqin@cuc.edu.cn
• 基金资助:

国家自然科学基金(No.11004175)、中国传媒大学工科规划项目(No.3132014XNG1411)和“优秀中青年教师培养工程”(No.YXJS201306)资助

### Distribution of Reciprocal Vectors Based on Diffraction Patterns of Superlattice Structures

MA Bo-qin, SHI Jian-hua, TIAN Shao-hua

1. College of Science, Faculty of Science and Engineering, Communication University of China, Beijing 100024, China
• Received:2014-08-29 Online:2015-05-25 Published:2015-05-25

Abstract:

A experimental method was provided, in which the distribution of reciprocal vectors can be easily obtained by their diffraction patterns. First, the diffraction pattern of square periodic superlattice as a reference grating was gotten. The value of the reciprocal vector according to the Fourier optics was calculated, and the scale relation with the geometric length in the pattern was built. By introducing the rectangular superlattice structure, this method was proved to be right in the periodic superlattices. Secondly, the diffraction patterns of the H-shape and Sierpinski fractal superlattice structures were realized and made a comparison with the square structure. The reciprocal vectors in two structures could be calculated based on the obtained geometric length ratio. Then by quantitative relation between the reciprocal vectors and fundamental wavelengths in quasi-phase matching processes, the harmonic wavelengths were calculated. Finally, the LiNbO3 nonlinear photonic crystals with fractal superlattice structures were fabricated experimentally. It can be gotten that the experimental quasi-phase matching harmonic wavelengths agree with the calculated ones. Especially, for Sierpinski fractal superlattice, by calculation, the effective second harmonic of 1.352 μm can be realized. And the corresponding results can be accomplished by experiments.