Phase sensitive analysis of femtosecond pulse propagation in optical fibers employing frequency resolved optical gating (FROG) is presented and compared to numerical simulations employing a modified cubic nonlinear Schr€ odinger equation (NLSE). Phase information obtained from deconvolution of the experimental traces allows the observation and characterization of specific pulse propagation feat...

Motivated by a problem considered earlier by Schrodinger [1]{[2], Jamison [3]{[4] and others, we examine in this paper the construction of Gauss-Markov processes with xed reciprocal dynamics. Given the class of reciprocal processes speci ed by a second-order model, a procedure is described for constructing a Markov process in the class with preassigned marginal probability densities at the end...

We perform ray and wave simulations of passive and active spiral-shaped optical microcavities, comparing our results to experimental data obtained with mid-infrared quantum cascade spiral microlasers. Focusing on the angular emission characteristics, we find that both ray and wave simulations are consistent with the experimental data, showing richly-featured, multidirectional far-field emission...

We construct minimum-uncertainty solutions of the three-dimensional Schrodinger equation with a Coulomb potential. These wave packets are localized in radial and angular coordinates and are squeezed states in three dimensions. They move on elliptical keplerian trajectories and are appropriate for the description of the corresponding Rydberg wave packets, the production of which is the focus of...

The number of bound states of the one-dimensional Schrodinger equation is analyzed in terms of the number of bound states corresponding to \fragments" of the potential. When the potential is integrable and has a nite rst moment, the sharp inequalities 1 n+ Pn j=1Nj N Pn j=1Nj are proved, where n is the number of fragments, N is the total number of bound states, and Nj is the number of bound st...

Konrad Kowalski,* Michael Linseis, Rainer F. Winter,* Manfred Zabel, Stanislav Z ali s,* Harald Kelm, Hans-J€ org Kr€ uger, Biprajit Sarkar, and Wolfgang Kaim Department ofOrganic Chemistry, Faculty ofChemistry, University ofy od z, Narutowicza 68, 90-136y od z, Poland, Institut f€ ur Anorganische Chemie der Universit€ at Regensburg, Universit€ atsstrasse 31, D-93040 Regensburg, Germany, Heyrov...

The linear and nonlinear scale spaces are generalized in the complex domain, by combining the di usion equation with the simpli ed Schr odinger equation. A fundamental solution for the linear case is developed. Preliminary analysis of the complex di usion shows that the generalized di usion has properties of both forward and inverse di usion. An important observation, supported theoretically a...