Analysis of mixing between waves at different carrier frequencies is a fundamental problem of nonlinear optics.1 Resonant interaction is especially important since it leads to an efficient energy conversion. In an optical medium without the center of symmetry, the lowest-order nonlinear response is quadratic, leading to three-photon interactions. Resonant parametric mixing among three waves at ...

In this paper, we study the Cauchy problem for a quasilinear degenerate parabolic stochastic partial differential equation driven by a cylindrical Wiener process. In particular, we adapt the notion of kinetic formulation and kinetic solution and develop a well-posedness theory that includes also an L1-contraction property. In comparison to the previous works of the authors concerning stochastic...

F. E. Becerra,1,2 R. T. Willis,1 S. L. Rolston,1 H. J. Carmichael,1,3 and L. A. Orozco1 1Joint Quantum Institute, Department of Physics, University of Maryland and National Institute of Standards and Technology, College Park, Maryland 20742, USA 2Departamento de Fı́sica, CINVESTAV. Apdo. Post. 14-740, 07000, México, D.F., México 3Department of Physics, University of Auckland, Private Bag 92019, ...

This Letter reports theoretical and experimental studies of spectrum reversal with tunable wavelength offset in the optical-frequency regime-two widely separated spectral sidebands can always behave as mirror images of one another with respect to the center frequency of the controlling pump pulse. We call this interesting physical phenomenon "spectral mirror imaging."

thirty clinical cases of obstructive urolithiasis, 15 with intact urinary bladder and 15 with ruptured urinary bladder, were used to study the changes in peritoneal fluid cytology. the percentage of neutrophils was highly increased than the normal reference range reported for cattle with slight decrease in lymphocyte percentage. the value for neutrophil percent was almost similar in both intact...

We show that the Witt class of a weakly group-theoretical non-degenerate braided fusion category belongs to the subgroup generated by classes of non-degenerate pointed braided fusion categories and Ising braided categories. This applies in particular to solvable nondegenerate braided fusion categories. We also give some sufficient conditions for a braided fusion category to be weakly group-theo...

A simple theoretical solution to the design of a control field that generates complete population transfer from an initial state, via N nondegenerate intermediate states, to one arbitrary member of M (M ≤ N) degenerate states is constructed. The full control field exploits an (M + N − 1)node null adiabatic state, created by designing the relative phases and amplitudes of the component fields th...