Enhanced Spatial Superresolution Using Engineered Spatial Modes

Superresolution techniques allow us to achieve imaging resolution beyond the classical resolution limits. In this work, we propose that the existing precision limits can be further improved by engineering the spatial profile of photons used to probe the system. Here, we exploit the multi-parameter estimation theory to estimate simultaneously and optimally the centroid and object separation using spatially engineered modes as the measurement probe in a two-photon interference scheme. We model the light pulses with a Pearson type VII profile with arbitrary positive excess kurtosis and show that the achievable precision in simultaneous estimation of centroid and object separation can be improved over that of the Gaussian profile. The achievable precision also improves with increasing kurtosis value.