  We propose to enhance the performance of localized plasmon structured
illumination microscopy (LP-SIM) via intensity correlations. LP-SIM uses
sub-wavelength illumination patterns to encode high spatial frequency
information. It can enhance the resolution up to three-fold before gaps in the
OTF support arise. For blinking fluorophores or for quantum antibunching an
intensity correlation analysis induces higher harmonics of the illumination
pattern and enlarges the effective OTF. This enables ultrahigh resolutions
without gaps in the OTF support, and thus a fully deterministic imaging scheme.
We present simulations that include shot and external noise and demonstrate the
resolution power under realistic photon budgets. The technique has potential in
light microscopy where low-intensity illumination is paramount while aiming for
high spatial but moderate temporal resolutions.
