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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Superoscillation ： ウィキペディア英語版 Superoscillation Superoscillation is a phenomenon in which a signal which is globally band-limited can contain local segments that oscillate faster than its fastest Fourier components. The idea is originally attributed to Yakir Aharonov, and has been made more popularly known through the work of Michael Berry, who also notes that a similar result was known to Ingrid Daubechies.〔(Berry, M V, 1994, 'Faster than Fourier', in 'Quantum Coherence and Reality; in celebration of the 60th Birthday of Yakir Aharonov' (J S Anandan and J L Safko, eds.) World Scientific, Singapore, pp 55-65. )〕〔(Berry, M V & Dennis, M R, 2009, 'Natural superoscillations in monochromatic waves in D dimension' )〕 A practical method for constructing superoscillations and a discussion of their potential for quantum field theory were given by Achim Kempf.〔(A. Kempf, 'Black Holes, Bandwidths and Beethoven', J.Math.Phys. 41, pp. 2360-2374 (2000) )〕 Chremmos and Fikioris have proposed a method for constructing superoscillations that approximate a desired polynomial with arbitrary accuracy within a given interval.〔I. Chremmos and G. Fikioris: ('Superoscillations with arbitrary polynomial shape' ) Journal of Physics A: Mathematical & Theoretical, vol. 48, 265204, 2015.〕 In 2013 experimental generation of arbitrarily shaped diffractionless superoscillatory optical beams has been demonstrated. Kempf and Ferreira proved〔( P.J.S.G. Ferreira and A. Kempf. 'Superoscillations: Faster than the Nyquist Rate', in IEEE Transactions on Signal Processing, vol. 54, no. 10, pp. 3732-3740 (2006). )〕 that superoscillations come at the expense of a dynamical range that has to increase exponentially with the number of superoscillations and polynomially with the frequency of the superoscillations. Superoscillatory wave forms are being considered as a possible practical tool for engineering applications, such as optical superresolution, i.e., resolution beyond the diffraction limit.〔(Laura C Thomson, Yannick Boissel, Graeme Whyte, Eric Yao and Johannes Courtial. Simulation of superresolution holography for optical tweezers )〕〔 (N.I. Zheludev, 'What diffraction limit?', Nature Materials 7, 420 - 422 (2008) )〕 ==See also== * Nyquist rate * Optical superresolution 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Superoscillation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.