8/31/2023 0 Comments Fraunhofer diffraction gratingVias, S.B., Jaroszewicz, Z., Kolodziejczyk, A., Sypek, M.: Zone plates with black focal spots. Swartzlander Jr., G.A.: Peering into darkness with a vortex spatial filter. Supp, S., Jahns, J.: Coaxial superposition of Bessel beams by discretized spiral axicons. Siviloglou, G.A., Christodoulides, D.N.: Accelerating finite energy Airy beams. Ojeda-Castañeda, J., Ramírez, G.: Zone plates for zero axial irradiance. Lohmann, A.W., Paris, D.P.: Computer generated spatial filters for coherent optical data processing. Kotlyar, V.V., Skidanov, R.V., Khonina, S.N., Soifer, V.A.: Hypergeometric modes. Karimi, E., Zito, G., Piccirillo, B., Marrucci, L., Santamato, E.: Hypergeometric-Gaussian modes. Jaroszewicz, Z., Kolodziejczyk, A., Mouriz, D., Gomez-Reino, C.: Spiral zone plates with arbitrary diameter of the dark spot in the center of their focal point. Jaroszewicz, Z., Kotodziejczyk, A.: Zone plates performing generalized Hankel transforms and their metrological applications. Janicijevic, Lj, Topuzoski, S., Stoyanov, L., Dreischuh, A.: Diffraction of a Gaussian beam by a four-sector binary grating with a shift between adjacent sectors. Theory Suppose, as depicted in Figure 1, that a laser is shone upon a small slit. To understand Fraunhofer diffraction in terms of Fourier analysis. 5, 967–969 (1966)īrown, B.R., Lohmann, A.W.: Computer-generated binary holograms. Purpose To understand and test Fraunhofer diffraction through various apertures. 14 15 Using these principles, Fraunhofer was the first who used a diffraction grating to obtain line spectra and the first who measured the wavelengths of spectral lines with a diffraction grating. 119, 604–612 (1995)īrown, B.R., Lohmann, A.W.: Complex spatial filtering with binary masks. 29, 144–146 (2004)īasistiy, I.V., Soskin, M.S., Vasnetsov, M.V.: Optical wavefront dislocations and their properties. Institute of Physics Publishing, Bristol (2003)Īrlt, J., Padgett, M.J.: Generation of a beam with a dark focus surrounded by regions of higher intensity: the optical bottle beam. Dover, New York (1964)Īllen, L., Barnett, S.M., Padgett, M.J.: Optical Angular Momentum. 6, S157–S161 (2004)Ībramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. In both investigations (theoretical and experimental) the interferograms confirm the non-vortex nature of the diffraction spots.Ībramochkin, E., Volostnikov, V.: Spiral-type beams. The numerically calculated diffraction patterns, as well as the interference patterns of the diffracted beam with a slightly inclined plane wave, are supported by experimentally obtained ones. They can be described as cosine-Laguerre–Gaussian Kummer beams. The higher-diffraction-order beam transverse intensity profiles have four bright spots divided by dark crossed lines and a central dark, non-vortex core. The zeroth-diffraction-order beam is a Gaussian beam whose transverse cross section has a reduced Gaussian radius. Analytical expressions, describing the diffracted wave field amplitude and intensity distributions in the focal plane of a converging lens, are derived. In the four equal angular sectors of the FSG, parts of a binary rectilinear grating are embedded in such a way that, two neighboring parts are shifted by a half spatial rectilinear grating period. In this problem, assume that $R$ is much larger than $d$.The study of Fraunhofer diffraction of a Gaussian laser beam by a computer-generated, binary four-sector grating (FSG) is presented. Scientists observing the wave on the open ocean measured the time between crests to be $1.0 \mathrm$ is the amplitude at $P$ of the electric field due to an individual slit, $\phi=(2 \pi d \sin \theta) / \lambda, \theta$ is the angle of the rays reaching $P$ (as measured from the perpendicular bisector of the slit arrangement), and $R$ is the distance from $P$ to the most distant slit. This quake triggered a huge tsunami (similar to a tidal wave) that killed more than 150,000 people. On December 26, 2004, a violent earthquake of magnitude 9.1 occurred off the coast of Sumatra.
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