Dynamic Control of Circular Airy Beams With Linear Optical Potentials

We investigate the propagation dynamics of radially symmetric, circular Airy beams through a medium having linear optical potentials. On the basis of analytic expressions and numerical calculations, we show that “off-axis” autofocusing can be implemented. We also show that we can shift the field distributions of Bessel-like circular Airy beams transversely via the introduction of appropriate linear potentials. Furthermore, by a suitable choice of initial launch condition, the focal length of the autofocusing beam can be modulated.