Michael Berry and Mark Dennis


Optical phase vortices and polarization singularities



The lectures will cover the following topics (not necessarily in the same order): History of phase and polarization singularities in wave physics, going back several centuries; basic geometry of vortex and singular polarization lines in space; construction of knotted linked and braided nodal lines in solutions of wave equations; statistics of singularities in random waves; singularities in crystal optics; 'colours of dark light' near white-light vortices; fractional spiral phase plate illustrating vortex choreography; conical diffraction; and quantum vacuum phenomena in the core of an optical vortex.