Mathematical Problems in Engineering

Research Article

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

Table 10

Relation between the 𝑤 , 𝑧 , and 𝑡 planes for a given device with polygonal geometry.
𝑤 plane 𝑧 plane 𝑡 plane
𝑤 5 = − 6 . 0 0 + 3 . 0 0 𝑖 𝑧 5 = 1 . 8 5 3 6 9 5 𝑡 5 = − 6 . 9 8 1 + 1 . 5 7 𝑖
𝑤 6 = − 6 . 0 0 + 1 . 9 0 𝑖 𝑧 6 = 1 . 8 5 3 6 9 6 𝑡 6 = − 6 . 9 8 1 + 0 . 0 0 𝑖
𝑤 1 1 = 6 . 0 0 + 1 . 9 0 𝑖 𝑧 1 1 = 2 . 1 4 3 6 1 6 𝑡 1 1 = 6 . 9 8 1 + 0 . 0 0 𝑖
𝑤 1 2 = 6 . 0 0 + 3 . 0 0 𝑖 𝑧 1 2 = 2 . 1 4 3 6 1 7 𝑡 1 2 = 6 . 9 8 1 + 1 . 5 7 𝑖