Optical superoscillations are rapid, subwavelength spatial variations of the intensity and
phase of light, occurring in complex electromagnetic fields formed by the interference of …

Modes generally provide an economical description of waves, reducing complicated wave
functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal …

A main determinant of the spatial resolution of live-cell super-resolution (SR) microscopes is
the maximum photon flux that can be collected. To further increase the effective resolution …

The phenomenon of superoscillation produces oscillations that are faster than the fastest
Fourier component of a system, potentially forming a local “hot spot” with a size below the …

This paper studies the recovery of a superposition of point sources from noisy bandlimited
data. In the fewest possible words, we only have information about the spectrum of an object …

This paper studies sparse spikes deconvolution over the space of measures. We focus on
the recovery properties of the support of the measure (ie, the location of the Dirac masses) …

Optical super-oscillations, first predicted in 1952 and observed in 2007, offer a promising
route to optical super-resolution imaging and show potential for manufacturing with light and …

We consider the problem of recovering a signal consisting of a superposition of point
sources from low-resolution data with a cutoff frequency. If the distance between the sources …

This article investigates the support detection problem using the LASSO estimator in the
space of measures. More precisely, we study the recovery of a discrete measure (spike train) …

Planar optical lenses are fundamental elements of miniaturized photonic devices. However,
conventional planar optical lenses are constrained by the diffraction limit in the optical far …