Computational Methods for Electromagnetic and Optical by Banerjee, Partha P.; Jarem, John M

By Banerjee, Partha P.; Jarem, John M

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49) with I0 = 2P/ πW2, where I0 denotes the on-axis intensity and P is the beam power, is phase modulated due to the induced refractive index profile. The resulting output field is Ee(x, y, L) = Ee(x, y, 0) exp(−jk 0 Δn(x)L), where L is the thickness of the PR material. Such a phase modulation results in a shift of the far-field pattern with respect to the axis (z) of propagation of the optical beam, and in the appearance of asymmetric sidelobes, the so-called fanning of the beam. 5 nm shows a monotonic increase in the shift of the far-field main lobe from the z axis with increase in I0 (implying either an increase in power P or a decrease in width W).

4) at the entry face of the material. The split-step algorithm is used to determine the interaction and energy exchange between the two beams. The induced refractive index Δn is used to construct the operator representing the induced inhomogeneity in the material. 18 Geometry for TBC in a diffusion-dominated PR material. 19 (a) Dotted and dashed lines are respectively the far-field signal and pump intensities with the absence of any PR material and chain dots and chain dashes represent the resulting far-field intensities after the beams have propagated through a 5 mm BaTiO3 sample.

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 ).

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