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

By Banerjee, Partha P.; Jarem, John M

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Denotes the complex conjugate. The quantities K and Ω are the propagation constant and the angular frequency, respectively, of the sound field. Following Refs. 5. The boxes marked “Shift ±K” are used to facilitate the operation shown in 229 in the spatial frequency domain. 6 shows problem geometry of a Gaussian beam incident nominally at Bragg angle on a sound column of width z = L. 7. 1. We would like to point out that the same answers could be derived by using the transfer function for acoustooptic interaction, as given in Refs.

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. The physical reasoning behind self-focusing is as follows. , on-axis), the induced refractive index is higher as well, amounting to larger slowing down of the wavefronts.

5. The boxes marked “Shift ±K” are used to facilitate the operation shown in 229 in the spatial frequency domain. 6 shows problem geometry of a Gaussian beam incident nominally at Bragg angle on a sound column of width z = L. 7. 1. We would like to point out that the same answers could be derived by using the transfer function for acoustooptic interaction, as given in Refs. [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.

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