van de Hulst, Light Scattering by Small Particles (Dover Publication Inc. (Roberts & Company Publishers, Greenwood Village, CO, 2005) Goodman, Introduction to Fourier Optics, 3rd edn. Outside this range, the AMOS 2 zairy and zbiry routines are employed. For real z in -10, 10, the computation is carried out by calling the Cephes 1 airy routine, which uses power series summation for small z and rational minimax approximations for large z. Chen, CLEO:QELS-Fundamental Science, paper QThS7 (2011) The Airy functions Ai and Bi are two independent solutions of y (x) xy(x). Soares, Airy Functions and Applications to Physics (Imperial College Press, London, 2004)ĭ.N. This process is experimental and the keywords may be updated as the learning algorithm improves. 1.1 Airy Processes and the KardarParisiZhang (KPZ) Universality Class The Airy processes are a collection of stochastic processes which are expected to govern the long time, large scale, spatial fluctuations of random growth models in the 1-D Kardar-Parisi-Zhang (KPZ) universality class for wide classes of initial data. These keywords were added by machine and not by the authors. In this chapter, we provide an overview on generation and control of Airy beams and recent developments in the area. For the past few years, tremendous research work has been devoted to the study of Airy beams, from theoretical predictions to experimental observations, from linear control to nonlinear self-trapping, and from fundamental aspects to demonstrations of potential applications. In contradistinction with Bessel beams, Airy beams do not rely on simple conical superposition of plane waves, and they possess the properties of self-acceleration in addition to nondiffraction and self-healing.
Recently, a specific type of nondiffracting beams named self-accelerating Airy beams has attracted a great deal of interest due to their unique properties and many proposed applications in areas such as optical micromanipulation, plasma guidance, vacuum electron acceleration, and routing surface plasmon polaritons.
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