Field Focusing for Nanophotonic Engineering and Applications

We propose a new strategy to deal with second harmonic generation (SHG) in dielectric bow-tie antennas by properly focusing the field inside the antenna’s gap. This is conveniently pursued via convex optimization techniques which may ensure global optimal solution for both focusing of scalar and vector fields. For the sake of simplicity we consider such a problem in 2D geometry dealing with both the transverse magnetic (TM-scalar) and electric polarization (TE-vector). The proposed approach conveniently allows engineering of the SHG pattern in dielectric nanoantennas.