By Banerjee, Partha P.; Jarem, John M

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Extra info for Computational Methods for Electromagnetic and Optical Systems, Second Edition

Sample text

4,6]. 5 Flow diagram for the modified split-step technique to analyze acoustooptic interaction. 6 Geometry of acoustooptic interaction with a Gaussian beam at nominal Bragg incidence. 7 Simulation plot of the intensity of the angular spectrum of the total field at different positions along interaction length. (From Venzke, C. , Appl. , 31, 656, 1992. 30), we have taken the linear refractive index n0 equal to unity for the sake of simplicity. For a medium with n2 > 0, one can observe self-focusing of a Gaussian beam traveling through a medium, while self-defocusing is observed for a medium with n2 < 0.

In this simulation, we track both the phase and amplitude modulation of the beam within the crystal due to the combined effects of propagational diffraction (along x, y) and induced refractive index (along x) arising from the PR effect. 17a and b shows the normalized far-field intensity patterns with W and P as parameters. 17a). The results are qualitatively similar: DBF is seen to reduce at very low (high) and very high (low) values of P (W). , 70 μm), which are independent of the model (thin or thick sample) used for simulation.

One of the ways this has been explained is through the fact that a symmetric beam may create an asymmetric refractive index profile, leading to beam distortion, or what we will call deterministic beam fanning (DBF) in the far field [29]. This analysis has been done for a thin sample, meaning one where diffraction of the beam is neglected during its travel through the PR material, and by using a linearized theory to determine the induced refractive index profile. We have recently extended the linearized approach to the case of a thick sample, and have included the transient effects, and are in the process of determining the effects of transient DBF when a reading beam is used to illuminate a previously stored hologram in the PR material [30].

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