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

The resolution of conventional optical elements and systems has long been perceived to
satisfy the classic Rayleigh criterion. Paramount efforts have been made to develop different …

Superoscillations are band-limited functions with the counterintuitive property that they can
vary arbitrarily faster than their fastest Fourier component, over arbitrarily long intervals …

Super-resolution optical microscopy, which gives access to finer details of objects, is highly
desired for fields of nanomaterial, nanobiology, nanophotonics, etc. Many efforts, including …

The Schrödinger equation is a fundamental equation to describe the wave function of a
quantum-mechanical system. The similar forms between the Schrödinger equation and the …

Lenses are crucial to light-enabled technologies. Conventional lenses have been perfected
to achieve near-diffraction-limited resolution and minimal chromatic aberrations. However …

We present the quantum theory governing the interaction between short laser pulses and
relativistic free electrons and reveal intrinsic conservation laws for such quantum …

Optical super-resolution diffractive metalenses have been promising candidates for realizing
optical imaging and a microscope beyond the Abbe diffraction limit. An achromatic super …

Evanescent light can be localized at the nanoscale by resonant absorption in a plasmonic
nanoparticle or taper or by transmission through a nanohole. However, a conventional lens …

Unlabeled super-resolution is the next grand challenge in imaging. Stimulated emission
depletion and single-molecule microscopies have revolutionized the life sciences but are …