Directive emission by using n-order coordinate transformation function

The n-order coordinate transformation is used to transform the electric field distribution of an isotropic microwave source into a directive radiation pattern. The n-order transformation function is optimized to achieve the simplest constitutive parameters. Finally, the simple and realizable constitutive parameters of the coordinate transformed slab are presented. The proposed parameters are constant except the μ_rx which is depend only on x coordinate. Also, the effect of frequency variation is studied in the proposed slab.