The deflected angle and reflected displacement of Airy beams

The deflected angle of airy beams is defined to describe their bending degree. Based on this parameter, we analyze the lateral displacement of airy beams and the changes of deflected angles during reflection process. In multi-reflections of airy beams, we find that deflected angles increase linearly with the times of reflection, which is useful to study the propagation properties of airy beam in parallel plate waveguides and other waveguides. Also we can use this parameter to control the incident and reflected routes to realize airy beam bypassing obstacles and reflecting back at predictable location.