Non-Paraxial Accelerating Beams
  We present the spatially accelerating solutions of the Maxwell equations. Such non-paraxial beams accelerate in a circular trajectory, thus generalizing the concept of Airy beams. For both TE and TM polarizations, the beams exhibit shape-preserving bending with sub-wavelength features, and the Poynting vector of the main lobe displays a turn of more than 90 degrees. We show that these accelerating beams are self-healing, analyze their properties, and compare to the paraxial Airy beams. Finally, we present the new family of periodic accelerating beams which can be constructed from our solutions. 
Ido Kaminer, Rivka Bekenstein, Jonathan Nemirovsky, and Mordechai   Segev
physics.optics cond-mat.mes-hall math-ph math.MP physics.class-ph