Figure 1

Schematic illustration for (a) a circular cavity in the OV space (η = u + iv), (b) a limaçon-shaped cavity in the WT space (ζ = x + iy), (c) the corresponding limaçon-shaped TC in the physical space (ζ = x + iy), and (d) the inverse transformed circular cavity in the RV space (η = u + iv) obtained by conformal mapping of Eq. (3.1). (Straight gray lines in (a) and (c) are grids of coordinates. Curved gray lines in (b) and (d) are the transformed image of the straight grid lines in (a) and (c) by the conformal mapping. Scaled color represents refractive index).