Fractal characteristics of far-field diffraction patterns for two-dimensional Thue-Morse quasicrystals

Ming-yang Yang; Jun Zhou; L. Petti; S. De Nicola; P. Mormile

doi:10.1007/s11801-011-1057-0

Optoelectronics Letters ›› 2011, Vol. 7 ›› Issue (5) : 346-349. DOI: 10.1007/s11801-011-1057-0

Article

Fractal characteristics of far-field diffraction patterns for two-dimensional Thue-Morse quasicrystals

Author information +

History +

Abstract

We report a numerical method to analyze the fractal characteristics of far-field diffraction patterns for two-dimensional Thue-Morse (2-D TM) structures. The far-field diffraction patterns of the 2-D TM structures can be obtained by the numerical method, and they have a good agreement with the experimental ones. The analysis shows that the fractal characteristics of far-field diffraction patterns for the 2-D TM structures are determined by the inflation rule, which have potential applications in the design of optical diffraction devices.

Keywords

Intensity Distribution / Fractal Characteristic / Error Ratio / Input Plane / Random Defect

Cite this article

EndNote

Ris (Procite)

Bibtex

Download citation ▾

Ming-yang Yang, Jun Zhou, L. Petti, S. De Nicola, P. Mormile. Fractal characteristics of far-field diffraction patterns for two-dimensional Thue-Morse quasicrystals. Optoelectronics Letters, 2011, 7(5): 346‒349 https://doi.org/10.1007/s11801-011-1057-0

References

Publishing order | Descend order by publishing year | Descend order by cited within

[1]	FalconerK.. Fractal Geometry: Mathematical Foundations and Applications, 2003, Chichester, Wiley CrossRef Google scholar

[2]	YangX., GuoB.. Journal of Optoelectronics · Laser, 2010, 21: 1402

[3]	LuoX.. Journal of Optoelectronics · Laser, 2009, 20: 484

[4]	SearsS., SoljacicM., SegevM., KrylovD., BergmanK.. Phys. Rev. Lett., 2000, 84: 1902 CrossRef Google scholar

[5]	MonroT. M., MillerP. D., PoladianL., de SterkeC. M.. Opt. Lett., 1998, 23: 268 CrossRef Google scholar

[6]	ZotovA. M., KorolenkoP. V., MishinA. Yu.. Crystallogr. Rep., 2010, 55: 964 CrossRef Google scholar

[7]	M. Tatsunosuke, A. Amit, N. Ajay and V. Z. Valy, Nature 446, 517 (2007).

[8]	GopinathA., BoriskinaS. V., FengN. N., ReinhardB. M., NegroL. D.. Nano Lett., 2008, 8: 2423 CrossRef Google scholar

[9]	MorettiL., MocellaV.. Opt. Express, 2007, 15: 15314 CrossRef Google scholar

[10]	GoodmanJ. W.. Introduction to Fourier Optics, 1996, 2ndNewYork, McGraw-Hill: 32

[11]	GarciaJ., MasD., DorschR. G.. Appl. Opt., 1996, 35: 7013 CrossRef Google scholar

This work has been supported by the National Natural Science Foundation of China (No.60977048), the International Bilateral Italy-China Joint Projects (CNR/CAS Agreement 2008–2010), the International Collaboration Program of Ningbo (No.2010D10018) and the K. C. Wong Magna Fund in Ningbo University, China.