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In this slab geometry, the lengths between successive reflection points due to total internal reflection of the incident laser radiation increase when it propagates through the slab.
Besides, a few of iterative projection variants have been proposed, such as solvent flipping algorithm (SF [14], averaged successive reflection algorithm (ASR)[15], hybrid projection reflection algorithm (HPR)[16], and relaxed averaged alternating reflectors algorithm (RAAR)[17].
As can be seen, the concentration curve can be considered to be the superimposed curve resulting from each successive reflection (from the surface layer) being superimposed on the original curve.
Hence, by successive reflection across geodesic arcs on the boundary, one obtains a family of embedded least area disks (S_{i,j} subset overline{U}_{i,j}) with boundary (partial S_{i,j} = Delta _{i,j}).
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As stated above, the rotation consists of two successive reflections which are orthogonal (angle-preserving) transformations.
The successive reflections of these pressure waves between both ends of the tunnel were observed.
The aim of this study is to reveal the detailed process of detonation re-initiation through multiple reflections and to investigate the mechanisms that could contribute to the final re-initiation after several successive reflections.
The classical image source method consists in describing the response of a point-driven polygonal plate as a superposition of contributions from the original source and virtual sources located outside of the plate, which represent successive reflections on the boundaries.
The sound pattern is derived by considering the probability that a phonon, leaving some source, will radiate to a particular wall, undergo a certain path of successive reflections, and be radiated to a detection point.
The late reverberations are a result of multiple reflections, arriving at the receiver in random order, with successive reflections being damped based on the arrival time, that is, reflection amplitude is damped to a greater degree if they arrive (at the receiver) later in time.
It is shown that when the transmittance spectrum of films is affected by the wavelike structure patterns due to interference of probe beam after successive reflections from different interfaces, using Swanepoel method for determination of optical constants of deposited films leads to reducing error significantly.
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