Fractional derivatives are applied in the reconstruction, from a single observable, of the dynamics of a Duffing oscillator and a two-well experiment. The fractional derivatives of time series data are obtained in the frequency domain. The derivative fraction is evaluated using the average mutual information between the observable and its fractional derivative. The ability of this reconstructio...

MRI is an unusual medical imaging modality in that the raw data used to form an image can be collected in an infinite number of ways. While conventional Cartesian k-space scanning is by far the most common scanning method, non-Cartesian approaches have shown promise for rapid imaging, motion robustness, ultrashort TE imaging, rapid spectroscopic imaging, and other applications. A key component ...

Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase-space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacements, we additionally show that, followi...

We present results of a coherent x-ray diffractive imaging experiment performed on a single colloidal crystal grain. The full three-dimensional (3D) reciprocal space map measured by an azimuthal rotational scan contained several orders of Bragg reflections together with the coherent interference signal between them. Applying the iterative phase retrieval approach, the 3D structure of the crysta...

We compress phase-shift digital holograms (whole Fresnel fields) for the transmission of three-dimensional images. For real-time networking applications, the time required to compress can be as critical as the compression rate. We achieve lossy compression through quantization of both the real and imaginary streams, followed by a bit packing operation. Compression losses in the reconstructed ob...

Hadronic oneand two-particle spectra provide for each particle species information about the phase-space distribution S(x,K) of the hadronic emission region [1]. Once reconstructed from the measured spectra, S(x,K) allows to distinguish between different dynamical scenarios of heavy ion collisions. It provides an experiment-based starting point for a dynamical back extrapolation into the hot an...

A novel application of a technique developed from chaos theory is used in describing seasonal to interannual climate predictability over the Northern Hemisphere (NH). The technique is based on an empirical forecast scheme-local approximation in a reconstructed phase space-for time-series data. Data are monthly 500 hPa heights on a latitude-longitude grid covering the NH from 20°N to the equator...

Phase retrieval problems in antenna measurements arise when a reference phase cannot be provided to all measurement locations. algorithms require sufficiently many independent samples of the radiated fields successful. Larger amounts data may improve reconstruction information from magnitude-only measurements. We show how knowledge relative phases among spectral components modulated signal at i...

In this work, attempts are made to study the dispersion of Love waves in dry sandy layer sandwiched between fiber reinforced layer and inhomogeneous half space.Inhomogeneity in half space associated with density and rigidity and considered in exponential form. Displacement components for fiber reinforced layer, dry sandy layer and inhomogeneous half-space have been obtained by using method of s...