Research Article

Electromagnetic Problems Solving by Conformal Mapping: A Mathematical Operator for Optimization

Table 2

Relationship between the 𝑤 , 𝑧 , and 𝑡 planes for the semicylindrical plates capacitor.

𝑤 plane 𝑧 plane 𝑡 plane

𝑤 2 = 4 . 8 2 + 1 . 2 9 𝑖 𝑧 2 = 1 . 0 0 0 𝑡 2 = 1 . 5 7 + 0 . 0 0 𝑖
𝑤 3 = 4 . 8 2 + 1 . 2 9 𝑖 𝑧 3 = 5 7 . 6 9 𝑡 3 = 1 . 5 7 + 5 . 4 4 𝑖
𝑤 5 = 4 . 8 2 1 . 2 9 𝑖 𝑧 5 = 5 7 . 6 9 𝑡 5 = 1 . 5 7 + 5 . 4 4 𝑖
𝑤 6 = 4 . 8 2 1 . 2 9 𝑖 𝑧 6 = 1 . 0 0 0 𝑡 6 = 1 . 5 7 + 0 . 0 0 𝑖