28 September 2013 Diffracted fields by slit-shape transmittance curves
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The transmittance curves describing effects important in the behavior of the diffracted fields generated by coherent illuminated. However, when it is performed a spatial transform on a transmittance curve, this can be done by tilting the screen, for example, the projection of a circle curve is an ellipse as result the diffraction field is no more a smooth transformation. In this case, the boundary condition may generate regions identified as singularities regions. In this study, we describe slit-shape transmittance whose diffraction field presented bifurcation effects and focusing regions know as caustics. The geometric shape of the transmittance allows to study the structure diffraction fields, where they are organized around focusing regions. We describe singularities that corresponds to cusp caustics of codimension two and astroid caustics. In the focusing regions are produced dislocation points on intensity pattern. In particular, in the cusp catastrophe is presented the Pearcey pattern. The generation of singularities is studied by mean the numerical solution of the paraxial Helmholtz equation.
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Javier Silva Barranco, Javier Silva Barranco, Gabriel Martínez Niconoff, Gabriel Martínez Niconoff, "Diffracted fields by slit-shape transmittance curves", Proc. SPIE 8843, Laser Beam Shaping XIV, 88430P (28 September 2013); doi: 10.1117/12.2025120; https://doi.org/10.1117/12.2025120

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