We investigate the hard nonresonant excitation of the forced Duffing equation with a positive damping parameter E. Using the symbolic manipulation system MACSYMA, a computer algebra system. we derive the two term perturbation expansion by the method of multiple time scales. The resulting approximate solution is valid for small values of the coefficient e As the damping parameter e increases, th...

Image formation in Coherent Anti-Stokes Raman Scattering (CARS) microscopy of sub-wavelength objects is investigated via a combined experimental, numerical and theoretical study. We consider a resonant spherical object in the presence of a nonresonant background, using tightly focused laser pulses. When the object is translated along the laser propagation axis, we find the CARS signal to be asy...

The distribution of the squared momentum difference |PA| − |PB |2 between the momenta in the laboratory system of two experimentally observed particles A and B provides a test for whether an observed mass peak indicates a real resonance rather than nonresonant background or kinematic reflection. The angular distribution of the relative momenta in the center-of-mass system exhibits a forward-bac...

The electromagnetic polarizabilities of the nucleon are shown to be essentially composed of the nonresonant αp(E0+) = +3.2, αn(E0+) = +4.1, the t-channel α t p,n = −βt p,n = +7.6 and the resonant βp,n(P33(1232)) = +8.3 contributions (in units of 10 −4fm). The remaining deviations from the experimental data ∆αp = 1.2 ± 0.6, ∆βp = 1.2 ∓ 0.6, ∆αn = 0.8 ± 1.7 and ∆βn = 2.0 ∓ 1.8 are contributed by ...

We model strong forward shocks in young supernova remnants with efficient particle acceleration where a nonresonant instability driven by the cosmic ray current amplifies magnetic turbulence in the shock precursor. Particle injection, magnetic field amplification (MFA) and the nonlinear feedback of particles and fields on the bulk flow are derived consistently. The shock structure depends criti...