Computational methods for electromagnetic and optical by Banerjee, Partha P.; Jarem, John M

By Banerjee, Partha P.; Jarem, John M

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By Banerjee, Partha P.; Jarem, John M

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The resulting far-field pattern which is the convolution of the Gaussian spectrum and the Airy pattern generally exhibits decreased DBF when the Airy pattern has a (denormalized) width much smaller than that of the Gaussian spectrum (which may occur, for instance, for both small and large W). 16. Appreciable DBF occurs in the region where the normalized spectral width is greater than unity. 5 mW, maximum beam fanning, defined by the maximum of the ratio of the peak value of the sidelobe and that of the mainlobe, occurs when W = 30 μm.

Spot size is 5 μm. 37 Scalar EM Beam Propagation in Inhomogeneous Media Following the linear cycle, the PR effect is now simulated through a nonlinear cycle of beam propagation. In this cycle, the buffered modulated intensity can be used to determine the spacecharge field. The change in index then can then be determined by considering the electro-optic effect. 55) where n 0 is the bulk index of refraction of the crystal, and Δn is the change in index due to the space-charge field. 46 for the case where the “dark intensity” which may include background illumination is much larger than the intensity interference pattern from the participating optical waves or beams involved in coupling (β/s ≫ I ).

When the nonlinear effect is stronger than diffraction, the beam self-focuses and collapse occurs at a distance zc ≤ zr. 1585(p − 1) for r0 = 1/ 2 , where p = N0/Nc and N 0 = c 2r0D [18]. Note that the ub condition H = 0, which leads to Pc , leads to an overestimate of the actual critical power. We now outline our numerical adaptive spectral technique called the adaptive split-step fast Hankel transform (AFHTSS) used to track the solution of the NLS equation for σ = 1, D = 2 and variable ε. Our scheme is based on the combination of the standard split-step fast Fourier transform (SSFFT) and the Hankel transform, which exploits the cylindrical symmetry of the problem.

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