Because of special structure, a dual reflector antenna has beam rotation capability in azimuth and elevation directions. In this structure, the antenna beam can be placed in any point in the space by mechanical movement of twist reflector which it is the most important ability of the antenna. Due to the antenna structure, if the polarization of incident wave is linear, it is expected that the p...

Modeling of large amplitude of structures such as slender, flexible cantilever beam and fluid-structure resting on nonlinear elastic foundations or subjected to stretching effects often lead to strongly nonlinear models of Duffing equations which are not amendable to exact analytical methods. In this work, explicit analytical solutions to the large amplitude nonlinear oscillation systems of cub...

The effect of Kerr nonlinearity on a Lorentz beam is investigated by using the nonlinear Schrödinger (NLS) equation. Based on the variational method, the evolution of a Lorentz beam in a Kerr medium is demonstrated and the critical collapse powers of the Lorentz beam are derived. Numerical simulations of the propagation of a Lorentz beam in a Kerr medium show that the beam becomes quasicircular...

Beam propagation in photorefractive LiNbO3 planar waveguides has been studied at different beam intensities and propagation lengths. Self-defocusing and beam break-up have been observed and explained using BPM simulations under a two-center band transport model. OCIS codes: 190.4390 Nonlinear optics, integrated optics; 190.5940 Self-action effects; 230.7390 Waveguides,

In this paper we test the robustness of a nonlinear boundary feedback control for a flexible beam with respect to perturbation. We show that additional dynamics of perturbation at one of the ends of the beam, as long as they are strictly passive, will not destabilize the controlled beam.

composites provide design flexibility because many of them can be moulded into complex shapes.  carbon fibre-reinforced epoxy composites exhibit excellent fatigue tolerance with high specific strength and stiffness. these properties led to their numerous advanced applications ranging from military and civil aircraft structures to consumer products. the modelling of beams undergoing arbitrarily ...

The nonlinear pull-in behaviors of various electrostatic micro-actuators were simulated. The differential quadrature method (DQM) was applied to overcome the difficulty in solving the nonlinear equation of motion. Various types of micro-actuators, such as the cantilever beam actuator and the fixed-fixed beam actuator were derived and simulated to examine the feasibility of applying the DQM to t...

Building on the Renormalization Group (RG) method the beam-beam interaction in circular colliders is studied. A regularized symplectic RG beam-beam map, that describes successfully the long-time asymptotic behavior of the original system has been obtained. The integral of motion possessed by the regularized RG map has been used to construct the invariant phase space density (stationary distribu...

We study the self-focusing and defocusing of a light beam carrying angular momentum (called twisted light) propa- gating in a nonlinear medium. We derive a differential equation for the beam width parameter f as a function of the propagation distance, angular frequency, beam waist and intensity of the beam. The method is based on the Wentzel-Kramers-Brillouin and the paraxial approximations. An...