Diffraction effects in semiclassical scattering by H. M. Nussenzveig

By H. M. Nussenzveig

I've got studied Physics with the Nussenzveig's assortment "Física Básica" (just avaiable in Brazil) and that i can say he's a superb Physics instructor, and higher, a hardline Physics instructor! His publication on diffaction wouldn't be various, and that i imagine who desires to recognize what concerns approximately diffraction may still learn this e-book!

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However, for 6 = It, in view of the axial symmetry, one sees, by rotating the whole figure around the axis, that one gets a whole focal circle, corresponding to a virtual ring source of radius b, that gives rise to toroidal wavefronts. 1). 1) where Ac = kb is the glory angular momentum. 28). 1) yields instead an amplitude 34 The glory enhancement by a factor of order 26112 as compared with a generic (nonaxial) direction. This arises from the constructive interference along the axis of contributions from all points of the virtual ring focus, so that we will call it the axial focusing enhancement.

2, in the sense that the interfering amplitudes were still constructed according to geometrical optics. Thus, the intensity would still be divergent at the rainbow angle, and it would be identically zero, for rays of a given class, on the shadow side of the rainbow. These features are inconsistent with a true wave theory, in which abrupt shadow boundary discontinuities get smoothed over by diffraction. Diffraction is also required to explain the most difficult feature of the rainbow problem: the great variability in the appearance of the rainbow, depending on the size distribution of the droplets that produce it.

This can be readily verified by looking at a rainbow through Polaroid sunglasses and rotating them around the line of sight (for photographic evidence, see Konnen 1985). The transverse character of light waves, responsible for their polarization properties, was one of the results explained by Maxwell's electromagnetic theory of light. After its formulation, it became possible to set up the problem of light scattering by a homogeneous sphere, such as a water droplet, as a well-defined boundary value problem in mathematical physics.

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