We retrieve intensity and phase profiles of 280 fs, 50 MHz optical pulses with 124 aJ coupled pulse energy (960 photons) by second-harmonic generation (SHG) frequency-resolved optical gating, using aperiodically poled LiNbO3 waveguides. The strong nonlinear interaction that is due to confinement within the micrometer-sized waveguide structure and the linearly chirped poling period contribute, r...

Properties of the recently introduced family of coupled resonator optical waveguides (CROWs) are reviewed, particularly with reference to CROWs designed as planar waveguides in two-dimensional photonic crystal slabs to enhance nonlinear interactions and develop novel all-optical information processing devices. Topics covered include: pulse propagation both in the nondispersive approximation and...

“Symplectic” schemes for stochastic Hamiltonian dynamical systems are formulated through “composition methods or operator splitting methods ” proposed by Misawa 2001 . In the proposed methods, a symplectic map, which is given by the solution of a stochastic Hamiltonian system, is approximated by composition of the stochastic flows derived from simpler Hamiltonian vector fields. The global error...

We used continuum generated in an 8.5 cm long fiber by a femtosecond Yb fiber laser to improve threefold the axial resolution of frequency domain second-harmonic optical coherence tomography (SH-OCT) to 12 microm. The acquisition time was shortened by more than 2 orders of magnitude compared to the time-domain SH-OCT. The system was applied to image biological tissue of fish scales, pig leg ten...

A technique for enhanced generation of selected high harmonics in a gas medium, in a high ionization limit, is proposed in this paper. An aperiodically corrugated hollow-core fiber is employed to modulate the intensity of the fundamental laser pulse along the direction of propagation, resulting in multiple quasi-phase-matched high harmonic emissions at the cutoff region. Simulated annealing (SA...

Harmonic oscillators count among the most fundamental quantum systems with important applications in molecular physics, nanoparticle trapping, and information processing. Their equidistant energy level spacing is often a desired feature, but at same time challenge if goal to deterministically populate specific eigenstates. Here, we show how interference transition amplitudes bichromatic laser f...

The motion of a satellite about a rotating triaxial body will be investigated, stressing on the case of slow rotation. The Hamiltonian of the problem will be formed including the zonal harmonic J2 and the leading tesseral harmonics C22 and S22. The small parameter of the problem is the spin rate ( ) of the primary. The solution proceeds through three canonical transformations to eliminate in su...

We show that the “reduction of the wavepacket” caused by the interaction with the environment occurs on a timescale which is typically many orders of magnitude shorter than the relaxation timescale τ . In particular, we show that in a system interacting with a “canonical” heat bath of harmonic oscillators decorrelation timescale of two pieces of the wave-packet separated by N thermal de Broglie...

We present an isogeometric analysis of time-harmonic exterior acoustic problems. The infinite space is truncated by a fictitious boundary and (simple) absorbing boundary conditions are applied. The truncation error is included in the exact solution so that the reported error is an indicator of the performance of the isogeometric analysis, in particular of the related pollution error. Numerical ...

An integrable current-tunable sinusoidal quadrature oscillator is presented. A current-tunable all-pass filter is used as the frequency-selective network. The implementation is fullybalanced so as to enable accurate quadrature signals with symmetry. The oscillation frequency is currenttunable over a wide-freqency sweep range of approximately three orders of magnitude. The quadrature signals pos...