volume | PIER Journals

2010-12-08

Inverse Joukowski Mapping

Chang-Hong Liang,

Professor Chang-Hong Liang

School of Electronics Engineering

Xidian University

China

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Xin-Wen Wang,

Dr. Xin-Wen Wang

Xidian University

China

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Xi Chen

Dr. Xi Chen

Xidian University

China

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Progress In Electromagnetics Research Letters, Vol. 19, 113-125, 2010

doi:10.2528/PIERL10091305 | Google Scholar

Abstract

This is paper discusses the inverse Joukowski mapping, w=z+√{z²-c²} (c>0), which can be classified into active and passive inverse transformation. By using the active inverse Joukowski mapping, the generalized image problems that the line charge ρ_l is located outside the elliptical conducting cylinder, or the finite conducting plate can be solved. By using the passive logarithmic inverse Joukowski mapping, the capacitance C of a finite conducting plate placed vertically above the infinite conducting plate can be solved. Thus the conformal mapping method can replace the image method and electrical axis method become the uniform method to solve the electrostatic problems.

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Chang-Hong Liang, Xin-Wen Wang, and Xi Chen, "Inverse Joukowski Mapping," Progress In Electromagnetics Research Letters, Vol. 19, 113-125, 2010.
doi:10.2528/PIERL10091305

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