An Airy beam as a self-similar solution to the problem of slit laser beam propagation in a linear medium and in a photorefractive crystal with diffusion nonlinearity

摘要: We have analysed self-similar solutions to the propagation problem of a slit beam with plane wavefront in linear medium and photorefractive crystal diffusion nonlinearity. It is shown that latter case, despite presence nonlinear term wave equation, superposition principle holds true for this class due saturation. At same time, mirror symmetry violation equation transverse coordinate case requirement spatial localisation modify one localised partial (Airy beam) corresponding prohibit existence other class.