Efficient numerical approach to electromagnetic scattering from three-dimensional periodic array of dielectric spheres using sequential accumulation
被引:12
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作者:
Matsushima, A.
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机构:
Kumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, JapanKumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, Japan
Matsushima, A.
[1
]
Momoka, Y.
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机构:
Kumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, JapanKumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, Japan
Momoka, Y.
[1
]
Ohtsu, M.
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机构:
Kumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, JapanKumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, Japan
Ohtsu, M.
[1
]
Okuno, Y.
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机构:
Kumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, JapanKumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, Japan
Okuno, Y.
[1
]
机构:
[1] Kumamoto Univ, Grad Sch Sci & Technol, Kumamoto 8608555, Japan
来源:
PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER
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2007年
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69卷
关键词:
D O I:
10.2528/PIER06123002
中图分类号:
TM [电工技术];
TN [电子技术、通信技术];
学科分类号:
0808 ;
0809 ;
摘要:
An effective numerical solution is presented for the plane wave scattering by multilayered periodic arrays of dielectric spheres. The treated structure is a fundamental model of photonic crystals having three-dimensional periodicity. The problem is analyzed by the mode matching method, where the electromagnetic fields in the air and dielectric regions are approximated by using the Floquet harmonics and vector spherical wave functions, respectively. They are matched on the junction surfaces in the least squares sense. Introduction of sequential accumulation in the process of QR decomposition reduces the computation time from O(Q(3)) to O(Q(1)) and the memory requirement from O(Q(2)) to O(Q(1)), with Q being a number of sphere layers. Numerical results are given for CPU time, speed of convergence, and some band gap characteristics.
机构:
Jiangnan Univ, Engn Res Ctr Internet Things Technol Applicat, Minist Educ, Wuxi, Jiangsu, Peoples R ChinaJiangnan Univ, Engn Res Ctr Internet Things Technol Applicat, Minist Educ, Wuxi, Jiangsu, Peoples R China
Ai, Lingyu
Shi, Xiao
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机构:
Jiangnan Univ, Engn Res Ctr Internet Things Technol Applicat, Minist Educ, Wuxi, Jiangsu, Peoples R ChinaJiangnan Univ, Engn Res Ctr Internet Things Technol Applicat, Minist Educ, Wuxi, Jiangsu, Peoples R China
Shi, Xiao
Yan, Zhiqiang
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机构:
Army Acad Armored Forces, Dept Informat Commun, Beijing, Peoples R ChinaJiangnan Univ, Engn Res Ctr Internet Things Technol Applicat, Minist Educ, Wuxi, Jiangsu, Peoples R China
Yan, Zhiqiang
Liu, Cheng
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机构:
Jiangnan Univ, Sch Sci, Computat Opt Lab, Wuxi, Jiangsu, Peoples R China
Chinese Acad Sci, Shanghai Inst Opt & Fine Mech, Shanghai, Peoples R ChinaJiangnan Univ, Engn Res Ctr Internet Things Technol Applicat, Minist Educ, Wuxi, Jiangsu, Peoples R China
Liu, Cheng
Wang, Shouyu
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机构:
Jiangnan Univ, Sch Sci, Computat Opt Lab, Wuxi, Jiangsu, Peoples R China
Nanjing Agr Univ, Single Mol Nanometry Lab, Nanjing, Jiangsu, Peoples R ChinaJiangnan Univ, Engn Res Ctr Internet Things Technol Applicat, Minist Educ, Wuxi, Jiangsu, Peoples R China
机构:
Dept. of Manufacturing Engineering, Boston University, 15 St. Mary's Street, BostonDept. of Manufacturing Engineering, Boston University, 15 St. Mary's Street, Boston