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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2010-12-08
Inverse Joukowski Mapping
By
Chang-Hong Liang,

    Professor Chang-Hong Liang

    School of Electronics Engineering

    Xidian University

    China

    Homepage

Xin-Wen Wang,

    Dr. Xin-Wen Wang

    Xidian University

    China

    Homepage

Xi Chen

    Dr. Xi Chen

    Xidian University

    China

    Homepage

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 ρl 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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Citation
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
References

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