Tsinghua University Chia-Chiao Lin Distinguished Lecture
Student No.:50
Time:16:30-17:30pm, May 28 (Tue.), May 30 (Thu.)
Instructor:Michael Berry  [University of Bristol]
Place:Lecture Hall, Floor 3, Jin Chun Yuan West Building
Starting Date:2013-5-28
Ending Date:2013-5-30



Lecture 1


Title: Making light of mathematics


Time: 16:30-17:30pm, May 28 (Tue.)


Tea break: 16:00-16:30pm


Abstract: Many ‘mathematical phenomena’ find application and sometimes spectacular physical illustration in the physics of light. Concepts such as fractals, catastrophe theory, knots, infinity, zero, and even when 1+1 fails to equal 2, are needed to understand rainbows, twinkling starlight, sparkling seas, oriental magic mirrors, and simple observations on interference, polarization and focusing. The lecture is intellectual but nontechnical, and strongly visual. 




Lecture 2


Title: Superoscillations and weak measurement


Time: 16:30-17:30pm, May 30 (Thu.)


Tea break: 16:00-16:30pm


Abstract: Band-limited functions can oscillate arbitrarily faster than their fastest Fourier component over arbitrarily long intervals. Where such ‘superoscillations’ occur, functions are exponentially weak. In typical monochromatic optical fields, substantial fractions of the domain (one-third in two dimensions) are superoscillatory. Superoscillations have implications for signal processing, and raise the possibility of sub-wavelength resolution microscopy without evanescent waves. In quantum mechanics, superoscillations correspond to weak measurements, suggesting ‘weak values’ of observables (e.g photon momenta) far outside the range represented in the quantum state. A weak measurement of neutrino speed could lead to a superluminal result without violating causality, but the effect is too small to explain the speed claimed in a recent experiment.