Optical fractal resonances in Cantor-like photonic crystals

被引:2
|
作者
Chen, Xiaoling [1 ,2 ]
Ni, Hao [1 ,2 ]
Zhao, Dong [1 ,2 ]
Wang, Yang [2 ]
机构
[1] Hubei Univ Sci & Technol, Sch Elect & Informat Engn, Xianning 437100, Peoples R China
[2] Hubei Univ Sci & Technol, Opt Electromech & Intelligent Mfg Lab, Xianning 437100, Peoples R China
基金
中国国家自然科学基金;
关键词
THUE-MORSE;
D O I
10.1364/AO.468016
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We theoretically investigate the optical fractal effect in one-dimensional quasiperiodic photonic crystals (PCs). Dielectric multilayers arrayed alternately submit to the Cantor-like sequence rule. The optical fractal phenomenon is induced by modulating the generation number of the dielectric sequence. The optical fractal effect corresponds to a series of resonant modes, and the Cantor-like PCs approve more resonance modes than those in the Cantor PCs with the same order number. The transmission channels of resonances exponentially increase with the increase in the sequence generation number. Furthermore, the central waves of the transmission channels can be regulated by the incident angle flexibly. We expect this paper may pave a new way for the development of wavelength division multiplexers. (c) 2022 Optica Publishing Group
引用
收藏
页码:7786 / 7792
页数:7
相关论文
共 50 条
  • [21] On the transcendental values of Cantor-like power series
    Gülcan Kekeç
    [J]. Proceedings - Mathematical Sciences, 2022, 132
  • [22] The Ostrogradsky series and related Cantor-like sets
    Albeverio, Sergio
    Baranovskyi, Oleksandr
    Priltsiovytyi, Mykola
    Torbin, Grygorly
    [J]. ACTA ARITHMETICA, 2007, 130 (03) : 215 - 230
  • [23] Transmittance and fractality in a Cantor-like multibarrier system
    Diaz-Guerrero, D. S.
    Montoya, F.
    Gaggero-Sager, L. M.
    Perez-Alvarez, R.
    [J]. PIERS 2008 HANGZHOU: PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM, VOLS I AND II, PROCEEDINGS, 2008, : 995 - 998
  • [24] ON THE DIMENSION OF DETERMINISTIC AND RANDOM CANTOR-LIKE SETS
    Pesin, Yakov
    Weiss, Howard
    [J]. MATHEMATICAL RESEARCH LETTERS, 1994, 1 (04) : 519 - 529
  • [25] TRANSMITTANCE AND FRACTALITY IN A CANTOR-LIKE MULTIBARRIER SYSTEM
    Diaz-Guerrero, D. S.
    Montoya, F.
    Gaggero-Sager, L. M.
    Perez-Alvarez, R.
    [J]. PROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS, 2008, 2 : 149 - 155
  • [26] Subharmonic generation in piezoelectrics with Cantor-like structure
    Chiroiu, C
    Delsanto, PP
    Scalerandi, M
    Chiroiu, V
    Sireteanu, T
    [J]. JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2001, 34 (11) : 1579 - 1586
  • [27] Balls in Constrained Urns and Cantor-Like Sets
    Wirsching, G. J.
    [J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1998, 17 (04): : 979 - 996
  • [28] On the Hausdorff dimension of Cantor-like sets with overlaps
    Myjak, J
    Szarek, T
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 18 (02) : 329 - 333
  • [29] CAPACITY ESTIMATES FOR PLANAR CANTOR-LIKE SETS
    MINDA, CD
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1974, 26 (05): : 1169 - 1172
  • [30] Assouad dimensions of Moran sets and Cantor-like sets
    Wenwen Li
    Wenxia Li
    Junjie Miao
    Lifeng Xi
    [J]. Frontiers of Mathematics in China, 2016, 11 : 705 - 722