We report the propagation dynamics of Airy light beams under non-paraxial conditions. It is studied using the general approach which deals with Fourier expansion of the beam. We show the transformation of the beam from the Airy form as the paraxiality parameter decreases. The role of evanescent waves in non-paraxial regime is discussed. c © 2009 Optical Society of America OCIS codes: 260.0260, ...

Abstract. We show that the set of nonnegative equilibrium-like states, namely, like (yd, 0) of the semilinear vibrating string that can be reached from any non-zero initial state (y0, y1) ∈ H 0 (0, 1) × L(0, 1), by varying its axial load and the gain of damping, is dense in the “nonnegative” part of the subspace L(0, 1) × {0} of L(0, 1) × H−1(0, 1). Our main results deal with nonlinear terms wh...

The recently introduced concept of radially non-oscillating, temporally stable ultrashort-pulsed Bessel-like beams we referred to as needle beams is generalized to a particular class of highly localized wavepackets (HLWs). Spatio-temporally quasi-nondiffracting pulses propagating along extended zones are shaped from Ti:sapphire oscillator radiation with a spatial light modulator and characteriz...

Non-interaction of waves (NIW) in the linear domain is an unappreciated but general principle of nature. Explicit recognition of this NIW-principle will add renewed momentum to the progress of fundamental physics and related technologies like spectrometry, coherence, polarizations, laser mode-locking, etc. This principle helps us appreciate that the mathematical correctness of a theorem and its...

The effect of the Kerr nonlinearity on linear non-diffractive Bessel beams is investigated analytically and numerically using the nonlinear Schrödinger equation. The nonlinearity is shown to primarily affect the central parts of the Bessel beam, giving rise to radial compression or decompression depending on whether the nonlinearity is focusing or defocusing, respectively. The dynamical propert...

damages due to northridge and kobe earthquakes were expressive of considerable effects of vertical components of earthquakes compared to the horizontal ones. on the other hand, thin steel plate shear wall is one of the newest resistant systems which until now it`s behavior haven’t been investigated under vertical component of earthquake. therefore, in this article, effects of vertical component...

In discrete-time digital models of contact of vibrating objects stability and therefore control over system energy is an important issue. While numerical approximation is problematic in this context digital algorithms may meat this challenge when based on exact mathematical solution of the underlying equation. The latter may generally be possible under certain conditions of linearity. While a s...

Static properties of leaves with parallel venation, with particular emphasis on the genus EpipactisZinn, 1757 (Orchidaceae, Neottieae) have been modelled with coupled quasi-parallel elastic "beams." The non-linear theory of strongly bended beams have been employed. The resulting boundary-value problem has been solved numerically with the help of the finite-difference method. Possible dislocatio...