Mathematical Problems in Engineering

Research Article

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

Table 5

Relationship between the 𝑤 , 𝑧 , and 𝑡 planes for the device of any geometry.
𝑤 plane 𝑧 plane 𝑡 plane
𝑤 1 0 = − 5 . 9 7 + 1 . 1 1 𝑖 𝑧 1 0 = 6 . 8 6 6 0 8 1 0 3 𝑡 1 0 = 7 . 9 0 + 0 . 0 0 0 𝑖
𝑤 1 1 = − 5 . 9 7 + 0 . 0 0 𝑖 𝑧 1 1 = 6 . 8 6 6 0 8 2 0 4 𝑡 1 1 = 7 . 9 0 + 1 . 5 6 8 𝑖
𝑤 1 2 = 6 . 0 0 + 0 . 0 0 𝑖 𝑧 1 2 = 4 . 8 5 6 3 1 5 7 8 𝑡 1 2 = − 7 . 9 0 + 1 . 5 6 8 𝑖
𝑤 1 3 = 6 . 0 0 + 4 . 0 0 𝑖 𝑧 1 3 = 4 . 8 5 6 6 9 3 5 1 𝑡 1 3 = − 7 . 9 0 + 0 . 0 0 0 𝑖