Techniques for retrieving the phase of an optical field typically depend on assumptions about the amplitude of the field in a desired plane, usually a pupil plane. We describe an approach that makes no such assumptions and is capable of retrieving both the amplitude and phase in the desired plane. Intensity measurements in two or more planes are used by a nonlinear optimization algorithm to ret...

Based on the method of characteristics, the system of Vlasov-Poisson equations is simulated. Two observed effects, Landau damping and development of BGK modes, are in good agreement with the reported theoretical and simulation results. Since we study high-frequency electron waves, ions are immobile and to simulate the electron motion, the following algorithm is designed. The simulation method c...

The kinetics and topology of grain growth in three dimensions are simulated using a phase-field model of an ideal polycrystal with uniform grain-boundary mobilities and energies. Through a dynamic grain-orientation-reassignment routine, the computational algorithm avoids grain growth via coalescence, thus eliminating the dependence of the simulation results on the number of order parameters imp...

When a fluid is confined within a spatially periodic external field, the liquid-vapor transition is replaced by a different transition called laser-induced condensation (LIC) [Götze et al., Mol. Phys. 101, 1651 (2003)]. In d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations along the field direction. At the triple point, all three phases (m...

In this paper we propose a fast, robust, and accurate operator splitting method for phase-field simulations of dendritic growth in both twoand three-dimensional space. The proposed method is based on operator splitting techniques. We split the governing phase-field equation into three parts: the first equation is calculated by using an explicit Euler’s method. The second is a heat equation with...

We investigate the dynamics of phase separation in two-component fluid membranes confined between parallel and rigid bounding plates. Through numerical simulation, we find dramatic slow coarsening of the order parameter field within the simulation time. In particular, a microphase separation is obtained as an equilibrium phase for sufficiently large values of the elastic coupling, being consist...