The problem of phase retrieval, ie, the recovery of a function given the magnitude of its
Fourier transform, arises in various fields of science and engineering, including electron …

The frequency doubling of laser light was one of the first new phenomena observed
following the invention of the laser over 50 years ago. Since then, the quest to extend …

We show how bright, tabletop, fully coherent hard X-ray beams can be generated through
nonlinear upconversion of femtosecond laser light. By driving the high-order harmonic …

X-ray sources are develo** rapidly and their coherent output is growing correspondingly.
The increased coherent flux from modern X-ray sources is being matched with an …

Microscopy has greatly advanced our understanding of biology. Although significant
progress has recently been made in optical microscopy to break the diffraction-limit barrier …

Coherent diffraction imaging (CDI) is high-resolution lensless microscopy that has been
applied to image a wide range of specimens using synchrotron radiation, X-ray free-electron …

Extreme ultraviolet microscopy and wavefront sensing are key elements for next-generation
ultrafast applications, such as chemically-resolved imaging, focal spot diagnostics in pump …

Coherent x-ray diffractive imaging is a powerful method for studies on nonperiodic structures
on the nanoscale. Access to femtosecond dynamics in major physical, chemical, and …

For centuries, lens-based microscopy, such as optical, phase-contrast, fluorescence,
confocal, and electron microscopy, has played an important role in the evolution of modern …

The problem of recovering a signal from its phaseless Fourier transform measurements,
called Fourier phase retrieval, arises in many applications in engineering and science …