Some type of reflectors:

• Planar reflector
• Corner reflector:
  • Used to calibrate radar systems
  • Almost always with a dipole paralel to the edge, like in a TV antenna (yagi).

Parabolic reflector

From the boundary conditions you can say that:

$$ J_s = \hat n \times (H^i + H^r) = 2 \hat n \times H^i $$

$$ D = \Big ( \frac{\pi d}{\lambda} \Big )^2 \varepsilon_{ap} \qquad \varepsilon_{ap} \approx 0.8 $$