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Conformal mapping for multiple terminals
Wang, Weimin; Ma, Wenying; Wang, Qiang; Ren, Hao
Indexed BySCI
WOS IDWOS:000388091000001
AbstractConformal mapping is an important mathematical tool that can be used to solve various physical and engineering problems in many fields, including electrostatics, fluid mechanics, classical mechanics, and transformation optics. It is an accurate and convenient way to solve problems involving two terminals. However, when faced with problems involving three or more terminals, which are more common in practical applications, existing conformal mapping methods apply assumptions or approximations. A general exact method does not exist for a structure with an arbitrary number of terminals. This study presents a conformal mapping method for multiple terminals. Through an accurate analysis of boundary conditions, additional terminals or boundaries are folded into the inner part of a mapped region. The method is applied to several typical situations, and the calculation process is described for two examples of an electrostatic actuator with three electrodes and of a light beam splitter with three ports. Compared with previously reported results, the solutions for the two examples based on our method are more precise and general. The proposed method is helpful in promoting the application of conformal mapping in analysis of practical problems.
KeywordSchwarz-christoffel Transformation Connected Regions Rough Boundaries Comb-actuators Ground Planes Capacitance Channel Toolbox Domains Devices
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Document Type期刊论文
Affiliation1.[Wang, Weimin
2.Wang, Qiang] Chinese Acad Sci, Inst Opt & Elect, State Key Lab Opt Technol Nanofabricat & Microeng, Chengdu 610209, Peoples R China
3.[Ma, Wenying] Chengdu Univ Informat Technol, Coll Commun Engn, Chengdu 610225, Peoples R China
4.[Ren, Hao] Arizona State Univ, Sch Elect Comp & Energy Engn, Tempe, AZ 85281 USA
Recommended Citation
GB/T 7714
Wang, Weimin,Ma, Wenying,Wang, Qiang,et al. Conformal mapping for multiple terminals[J]. SCIENTIFIC REPORTS,2016,6.
APA Wang, Weimin,Ma, Wenying,Wang, Qiang,&Ren, Hao.(2016).Conformal mapping for multiple terminals.SCIENTIFIC REPORTS,6.
MLA Wang, Weimin,et al."Conformal mapping for multiple terminals".SCIENTIFIC REPORTS 6(2016).
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