Abstract
The energy for creating a temporal train of nearly harmonic superoscillations is studied. It is shown that the power of sources necessary for creating the train of such superoscillations increases exponentially with the number of periods in the train and with the frequency of superoscillations.
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References
Y. Aharonov, J. Anandan, S. Popescu, and L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
M. V. Berry, J. Phys. A: Math. Gen. 27, 391 (1994).
M. V. Berry and S. Popescu, J. Phys. A: Math. Gen. 39, 6965 (2006).
A. Kempf and P. J. S. G. Ferreira, J. Phys. A: Math. Gen. 37, 12067 (2004).
S. M. Barnett and M. V. Berry, J. Optics 15, 6 (2013).
D. G. Baranov, A. P. Vinogradov, and A. A. Lisyansky, Opt. Lett. 39, 6316 (2014).
A. M. H. Wong and G. V. Eleftheriades, IEEE Microwave Wireless Compon. Lett. 22, 147 (2012).
A. M. H. Wong and G. V. Eleftheriades, IEEE Trans. Inform. Theory 59, 2173 (2011).
N. I. Zheludev, Nat. Mater. 7, 420 (2008).
F. M. Huang and N. I. Zheludev, Nano Lett. 9, 1249 (2009).
N. I. Zheludev, J. Opt. A: Pure Appl. Opt. 11, 074009 (2009).
E. T. F. Rogers and N. I. Zheludev, J. Opt. 15, 094008 (2013).
A. M. H. Wong and G. V. Eleftheriades, IEEE Antennas Wireless Propagat. Lett. 9, 315 (2010).
P. J. S. G. Ferreira and A. Kempf, IEEE Trans. Signal Proc. 54, 3732 (2006).
P. J. S. G. Ferreira and A. Kempf, in Proceedings of the 11th European Signal Processing Conference, Toulouse, 2002, p. 347.
F. R. Gantmakher, The Theory of Matrices (Fizmatlit, Moscow, 2004; Chelsea, New York, 1959), rus. p. 215.
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Original Russian Text © I.V. Doronin, A.A. Pukhov, A.P. Vinogradov, 2017, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 106, No. 7, pp. 459–462.
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Doronin, I.V., Pukhov, A.A. & Vinogradov, A.P. Energetics of the excitation of nearly harmonic superoscillations. Jetp Lett. 106, 477–480 (2017). https://doi.org/10.1134/S0021364017190079
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DOI: https://doi.org/10.1134/S0021364017190079