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Fourier ptychographic microscopy aided with transport of intensity equation for robust full phase spectrum reconstruction
Miko{\l}aj Rogalski, Juan Martinez-Carranza, Bartosz G\'orski, Piotr Arcab, Micha{\l} J\'o\'zwik, Piotr Zda\'nkowski, Magdalena Sobie\'n, Marzena Stefaniuk, Shun Zhou, Chao Zuo, Maciej Trusiak
https://

Fourier ptychographic microscopy aided with transport of intensity equation for robust full phase spectrum reconstruction
Fourier ptychographic microscopy (FPM) is a pivotal computational imaging technique that achieves phase and amplitude reconstruction with high resolution and wide field of view, using low numerical aperture objectives and LED array illumination. Despite its unique strengths, FPM remains fundamentally limited in retrieving low spatial frequency phase information due to the absence of phase encoding in all brightfield illumination angles. To overcome this, we present a novel hybrid approach that …

Motion in time of a swinging Atwood machine
Giorgio Carizi
https://arxiv.org/abs/2507.00058 https://arxiv.org/pdf/2507.00058

Motion in time of a swinging Atwood machine
An exact solution for the motion in time of the swinging Atwood machine is presented. The trajectories of the so called teardrop-heart orbits are obtained considering an extended Hamiltonian and a time transformation first introduced by Poincare. The motion is isochronous with respect to the launch angle.