In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Also, effect of noise shows our solutions ...

Nonlinear behavior of a functionally graded cantilever beam is analyzed under non-uniform hygro-thermal effect. To solve this problem, finite element method is applied within plane solid continua. Total Lagrangian approach is utilized in the nonlinear kinematic relations. Newton-Raphson method with incremental displacement is used in nonlinear solution. Comparison study is performed. Effects of...

We propose and experimentally demonstrate the nonlinear Talbot effect from nonlinear photonic crystals. The nonlinear Talbot effect results from self-imaging of the generated periodic intensity pattern at the output surface of the crystal. To illustrate the effect, we experimentally observed second-harmonic Talbot self-imaging from 1D and 2D periodically poled LiTaO(3) crystals. Both integer an...

The origin and nature of a special nonlinear supersymmetry of a reflectionless Pöschl-Teller system are explained by the Aharonov-Bohm effect for a nonrelativistic particle on AdS2. A key role in supersymmetric structure appearing after reduction by a compact generator of the AdS2 isometry is shown to be played by discrete symmetries related to space and time reflections in the ambient Minkowsk...

Abstract: We compute the effective medium properties for Kerr-type metallodielectric composites of interacting spheres and isolated spheroids. We show the nonlinear index enhancement increases significantly faster than the linear absorption as particles interact or become elongated. ©2008 Optical Society of America OCIS codes: (050.2065) Effective medium theory, (160.1245) Artificially engineer...

An amplitude equation is derived for a four-wave-mixing geometry with nearly counterpropagating, mutually incoherent, nondiffracting pump beams, spatially overlapping in a photorefractive material with a nonlocal response. This equation extends the earlier linear two-dimensional theory to the weakly nonlinear regime. The analysis also starts from a more complete equation for the photorefractive...

We show that a control technique, based on feedback filtered at a Fourier plane, can stabilize the spatio-temporally disordered output of a nonlinear optical system. We demonstrate this in an experiment with a LCLV feedback system and in a theoretical model. We stabilize the system and select square and roll patterns. The technique is non-invasive in that the control signal becomes small when c...