Theoretical investigation on a general class of 2D quasicrystals with the rectangular projection method

被引：1

作者：

Yue, Yang-Yang ^{[1
,2
,3
,4
]}

Lu, Rong-er ^{[1
,2
,3
,4
]}

Yang, Bo ^{[1
,2
,3
,4
]}

Huang, Huang ^{[1
,2
,3
,5
]}

Hong, Xu-Hao ^{[1
,2
,3
,5
]}

Zhang, Chao ^{[1
,2
,3
,4
]}

Qin, Yi-Qiang ^{[1
,2
,3
,4
]}

Zhu, Yong-Yuan ^{[1
,2
,3
,5
]}

机构：

[1] Nanjing Univ, Natl Lab Solid State Microstruct, Nanjing 210093, Jiangsu, Peoples R China

[2] Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, Peoples R China

[3] Nanjing Univ, Key Lab Modem Acoust, Nanjing 210093, Jiangsu, Peoples R China

[4] Nanjing Univ, Coll Engn & Appl Sci, Nanjing 210093, Jiangsu, Peoples R China

[5] Nanjing Univ, Sch Phys, Nanjing 210093, Jiangsu, Peoples R China

来源：

SOLID STATE COMMUNICATIONS | 2016年 / 243卷

基金：

中国国家自然科学基金;

关键词：

2D quasicrystals; Fourier spectrum; Rectangular projection method; Numerical calculations; FIBONACCI OPTICAL SUPERLATTICE; 3RD-HARMONIC GENERATION;

D O I：

10.1016/j.ssc.2016.06.003

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We take a theoretical investigation on the reciprocal property of a class of 2D nonlinear photonic quasicrystal proposed by Lifshitz et al. in PRL 95, 133901 (2005). Using the rectangular projection method, the analytical expression for the Fourier spectrum of the quasicrystal structure is obtained explicitly. It is interesting to find that the result has a similar form to the corresponding expression of the well-known 1D Fibonacci lattice. In addition, we predict a further extension of the result to higher dimensions. This work is of practical importance for the photonic device design in nonlinear optical conversion progresses. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：12 / 15

页数：4

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