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SUMMARY:Rothschild lecture: Superoscillations and weak measurement - Berry
 \, M (H H Wills Physics Laboratory\, University of Bristol)
DTSTART:20121203T170000Z
DTEND:20121203T180000Z
UID:TALK41778@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Band-limited functions can oscillate arbitrarily faster than t
 heir fastest Fourier component over arbitrarily long intervals. Where such
  superoscillationsoccur\, functions are exponentially weak. In typical mon
 ochromatic optical fields\, substantial fractions of the domain (one-third
  in two dimensions) are superoscillatory. Superoscillations have implicati
 ons for signal processing\, and raise the possibility of sub-wavelength re
 solution microscopy without evanescent waves. In quantum mechanics\, super
 oscillations correspond to weak measurements\, suggesting weak values of o
 bservables (e.g photon momenta) far outside the range represented in the q
 uantum state. A weak measurement of neutrino speed could lead to a superlu
 minal result without violating causality\, but the effect is too small to 
 explain the speed recently claimed in a recent (and now-discredited) exper
 minent. \n
LOCATION:Seminar Room 1\, Newton Institute
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