It is learned from elementary textbooks that the angular resolution of a perfect optical
telescope is limited by diffraction to an angle in radians of about A ID, the ratio of the …

Equations for the propagation of phase and irradiance are derived, and a Green's function
solution for the phase in terms of irradiance and perimeter phase values is given. A …

The functional dependence of irradiance moments with distance from the pupil plane is
studied within the framework of Fresnel diffraction theory. The concept of analytic pupil …

Optical wavefront reconstruction algorithms played a central role in the effort to identify gross
manufacturing errors in NASA's Hubble Space Telescope (HST). NASA's success with …

The existence of spiral-type beams with a predetermined intensity distribution is investigated
by theoretical and experimental means. Spiral-type beams with an intensity distribution in …

The present paper is a survey aiming at characterizing all solutions of the discrete phase
retrieval problem. Restricting ourselves to discrete signals with finite support, this problem …

A scheme for recovering phase using irradiance data alone, without interferometric
techniques, is developed using the transport equations for phase and irradiance. For the …

Ask an engineer to solve a problem and she will come back in a day or so with something
that seems to work well enough most of the time. Ask a mathematician to solve the same …

Reconstruction of signals from measurements of their spectral intensities, also known as the
phase retrieval problem, is of fundamental importance in many scientific fields. In this paper …

An optical field is described by the amplitude and phase, and thus has a complex
representation described in the complex plane. However, because the only thing we can …