Effects of orientation and shape of holes on the band gaps in water waves over periodically drilled bottoms

doi:10.1088/1674-1056/19/2/020301

Abstract The complete band gaps (CBGs) of shallow water waves propagating over bottoms with periodically drilled holes are investigated numerically by the plane wave expansion method. Four different patterns are considered, containing triangular, square, hexagonal and circular cross-sectioned holes arranged into triangular lattices. Results show that the width of CBGs can be changed by adjusting the orientation of noncircular holes and the effect of hole shape on the width of the maximal CBGs is discussed.

Keywords: water surface wave band gap plane wave expansion method

Received: 08 June 2009
Revised: 09 July 2009
Accepted manuscript online:

PACS:	47.35.-i	(Hydrodynamic waves)
	47.10.-g	(General theory in fluid dynamics)
	92.10.Hm	(Ocean waves and oscillations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10674032).

Cite this article:

Zhong Lan-Hua(钟兰花), Wu Fu-Gen(吴福根), and Zhong Hui-Lin(钟会林) Effects of orientation and shape of holes on the band gaps in water waves over periodically drilled bottoms 2010 Chin. Phys. B 19 020301

[1]	Tang H X, Zuo Y H, Yu J Z and Wang Q M 2007 Chin. Phys. 16 2011
[2]	Lu H, Tian H P, Li C H and Ji Y F 2009 Acta Phys. Sin. 58 2049 (in Chinese)
[3]	Chen W, Xing M X, Ren G, Wang K, Du X Y, ZhangY J and Zheng W H 2009 Acta Phys. Sin. 58 3955 (inChinese)
[4]	Cai L, Han X Y and Wen X S 2008 Acta Phys. Sin. 57 1746 (in Chinese)
[5]	Ren M, Wu F G, Zhong L H, Zhong H L, Zhong S andLiu Y Y 2006 J. Phys. D: Appl. Phys. 39 2272
[6]	Chen Y Y and Hsu H C 2009 Chin. Phys. B 18861
[7]	Xie T, Nan C F, Kuang H L, Zou G H and Chen W2009 Acta Phys. Sin. 58 4011 (in Chinese)
[8]	Torres M, Adrados J P and Montero de Espinosa F R 1998 Nature 3 98 114
[9]	Zhong A and Zhen Y 2004 Appl. Phys. Lett. 84 2952
[10]	Huang M J, Kuo C H and Ye Z 2005 Phys. Rev. E 71 011201
[11]	Yang Y M, Wu F G, Yang Y T, Zhang X, Zhong S andLiu Y Y 2007 Phys. Lett. A 369 488
[12]	Wang Q, Zhang H, Miao G Q and Wei R J 2007 Chin. Phys. Lett. 24 2285
[13]	Ruban V P 2008 Phys. Rev. E 78 066308
[14]	Hu X H, Shen Y F, Liu X H, Fu R T and Zi J2003 Phys. Rev. E 68 037301
[15]	Ha Y K, Kim J E, Park H Y and Lee I W 2002 Appl.Phys. Lett. 81 1341
[16]	Chen L S, Kuo C H, Ye Z and Sun X 2004 Phys. Rev. E 69 066308
[17]	Hu X H, Shen Y F, Liu X H, Fu R T and Zi J 2004 Phys. Rev. E 69 030201(R)
[18]	Hu X H and Chan C T 2005 Phys. Rev. Lett. 95154501
[19]	Torres M, Adrados J P, Montero de Espinosa F R,Garcia-Pablos D and Fayos 2000 Phys. Rev. E 6 3 011204
[20]	Ye Z 2003 Phys. Rev. E 67 036623
[21]	Hu X H, Shen Y F, Liu X H, Fu R T and Zi J 2003 Phys. Rev. E 68 066308
[22]	Shen Y F, Chen K X, Chen Y F, Liu X H and Zi J2005 Phys. Rev. E 71 036301
[23]	Yang S H, Wu F G, Zhong H L and Zhong L H 2006 Phys. Lett. A 352 426
[24]	Zhang Z S and Cui G X 2006 Hydromechanics(Beijing: TsinghuaUniversity Press) p. 57 (in Chinese)

[1]	First-principles study of a new BP₂ two-dimensional material Zhizheng Gu(顾志政), Shuang Yu(于爽), Zhirong Xu(徐知荣), Qi Wang(王琪), Tianxiang Duan(段天祥), Xinxin Wang(王鑫鑫), Shijie Liu(刘世杰), Hui Wang(王辉), and Hui Du(杜慧). Chin. Phys. B, 2022, 31(8): 086107.
[2]	Erratum to “ Accurate GW₀ band gaps and their phonon-induced renormalization in solids” Tong Shen(申彤), Xiao-Wei Zhang(张小伟), Min-Ye Zhang(张旻烨), Hong Jiang(蒋鸿), and Xin-Zheng Li(李新征). Chin. Phys. B, 2022, 31(5): 059901.
[3]	Analysis on vibration characteristics of large-size rectangular piezoelectric composite plate based on quasi-periodic phononic crystal structure Li-Qing Hu(胡理情), Sha Wang(王莎), and Shu-Yu Lin(林书玉). Chin. Phys. B, 2022, 31(5): 054302.
[4]	High efficiency ETM-free perovskite cell composed of CuSCN and increasing gradient CH₃NH₃PbI₃ Tao Wang(汪涛), Gui-Jiang Xiao(肖贵将), Ren Sun(孙韧), Lin-Bao Luo(罗林保), and Mao-Xiang Yi(易茂祥). Chin. Phys. B, 2022, 31(1): 018801.
[5]	Atomic and electronic structures of p-type dopants in 4H-SiC Lingyan Lu(卢玲燕), Han Zhang(张涵), Xiaowei Wu(吴晓维), Jing Shi(石晶), and Yi-Yang Sun(孙宜阳). Chin. Phys. B, 2021, 30(9): 096806.
[6]	Tunable bandgaps and flat bands in twisted bilayer biphenylene carbon Ya-Bin Ma(马亚斌), Tao Ouyang(欧阳滔), Yuan-Ping Chen(陈元平), and Yue-E Xie(谢月娥). Chin. Phys. B, 2021, 30(7): 077103.
[7]	First-principles investigation of the valley and electrical properties of carbon-doped α-graphyne-like BN sheet Bo Chen(陈波), Xiang-Qian Li(李向前), Lin Xue(薛林), Yan Han(韩燕), Zhi Yang(杨致), and Long-Long Zhang(张龙龙). Chin. Phys. B, 2021, 30(5): 057101.
[8]	Microstructure, optical, and photoluminescence properties of β -Ga₂O₃ films prepared by pulsed laser deposition under different oxygen partial pressures Rui-Rui Cui(崔瑞瑞), Jun Zhang(张俊), Zi-Jiang Luo(罗子江), Xiang Guo(郭祥), Zhao Ding(丁召), and Chao-Yong Deng(邓朝勇). Chin. Phys. B, 2021, 30(2): 028505.
[9]	Ab-initio calculations of bandgap tuning of In_1-xGa_xY (Y = N, P) alloys for optoelectronic applications Muhammad Rashid, Jamil M, Mahmood Q, Shahid M Ramay, Asif Mahmood A, and Ghaithan H M. Chin. Phys. B, 2021, 30(11): 116301.
[10]	Accurate GW₀ band gaps and their phonon-induced renormalization in solids Tong Shen(申彤), Xiao-Wei Zhang(张小伟), Min-Ye Zhang(张旻烨), Hong Jiang(蒋鸿), and Xin-Zheng Li(李新征). Chin. Phys. B, 2021, 30(11): 117101.
[11]	Thermal stability of magnetron sputtering Ge-Ga-S films Lei Niu(牛磊), Yimin Chen(陈益敏), Xiang Shen(沈祥), Tiefeng Xu(徐铁峰). Chin. Phys. B, 2020, 29(8): 087803.
[12]	Photoluminescence in wide band gap corundum Mg₄Ta₂O₉ single crystals Liang Li(李亮), Yu-Lu Zheng(郑雨露), Yu-Xin Hu(胡雨馨), Fang-Fei Li(李芳菲), Qiang Zhou(周强), Tian Cui(崔田). Chin. Phys. B, 2020, 29(8): 083301.
[13]	Microwave-assisted synthesis of Mg:PbI₂ nanostructures and their structural, morphological, optical, dielectric and electrical properties for optoelectronic technology Mohd. Shkir, Ziaul Raza Khan, T Alshahrani, Kamlesh V. Chandekar, M Aslam Manthrammel, Ashwani Kumar, and S AlFaify$. Chin. Phys. B, 2020, 29(11): 116102.
[14]	One-dimensional structure made of periodic slabs of SiO₂/InSb offering tunable wide band gap at terahertz frequency range Sepehr Razi, Fatemeh Ghasemi. Chin. Phys. B, 2019, 28(12): 124205.
[15]	Electronic structure of YbB₆ dependent on onsite Coulomb interaction U and internal parameter of B atom Hong-Bin Wang(王宏斌), Li Zhang(张莉), Jie Duan(段婕). Chin. Phys. B, 2019, 28(11): 116201.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Effects of orientation and shape of holes on the band gaps in water waves over periodically drilled bottoms

Cite this article:

Online attention