By Banerjee, Partha P.; Jarem, John M
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Example text
To the incident profile, and hence may be shown to predict a monotonic increase in DBF with a decrease in W. In our nonlinear formulation, however, for decreasing W, the extrema of E move out with respect to the incident profile, so that the profile essentially sees a linear induced refractive index for sufficiently small W resulting in reduced DBF. 5 mW and (b) W = 40 μm. P. , Opt. , 100, 166, 1993. ) 32 Computational Methods for Electromagnetic and Optical Systems Before comparing the thin sample results with the findings for the thick sample case, we will, at this point, provide a simple alternate explanation for the observed behavior of DBF when monitored as a function of the intensity.
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.
By αi = bk0L + (3a)1/3 γi. It then follows that the spatial extent of the Airy pattern for kx < bk0L, up to say the ith zero, and normalized by the spectral width 2/W of the incident Gaussian profile, varies nonmonotonically with I0. The shift in the Airy pattern, bk0L, however, increases with an increase in I0. 16a. 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).