Construction of Aharonov-Berry's superoscillations

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 19, 2007, Pages 5141-5147

  Ferreira, P J S G ^a   Kempf, A ^b   Reis, M J C S ^c  

^a UNIVERSITY OF AVEIRO   (Portugal)

^b UNIVERSITY OF WATERLOO   (Canada)

^c UNIVERSITY OF TRÁS OS MONTES AND ALTO DOURO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63049089948     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/19/013     Document Type: Article

References (11)

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3. Kempf A and Ferreira P J S G 2004 Unusual properties of superoscillating particles J. Phys. A: Math. Gen. 37 12067-76
4. Berry M V 1994 Evanescent and real waves in quantum billiards and Gaussian beams J. Phys. A: Math. Gen. 27 L391-8
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6. Qiao W 1996 A simple model of Aharonov-Berry's superoscillations J. Phys. A: Math. Gen. 29 2257-8
7. Ferreira P J S G and Kempf A 2006 Superoscillations: faster than the Nyquist rate IEEE Trans. Signal Processing 54 3732-40
8. Calder M S and Kempf A 2005 Analysis of superoscillatory wave functions J. Math. Phys. 46 012101
9. Higgins J R 1996 Sampling Theory in Fourier and Signal Analysis: Foundations (Oxford: Oxford University Press)
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11. Ferreira P J S G 1992 Incomplete sampling series and the recovery of missing samples from oversampled band-limited signals IEEE Trans. Signal Processing 40 225-7