An "Airy gun": Self-accelerating solutions of the time-dependent Schrodinger equation in vacuum

作者：Mahalov Alex; Suslov Sergei K^*

来源：Physics Letters A, 2012, 377(1-2): 33-38.

DOI：10.1016/j.physleta.2012.10.041

• Schrodinger equation
• Nonspreading wave packets
• Diffraction-free optical beams
• Airy functions
• Second Painleve transcendents
• Wigner function

We consider generalizations of the Berry and Balazs nonspreading and accelerating solution of the time-dependent Schrodinger equation in empty space, which has been experimentally demonstrated in paraxial optics. In particular, we show that the original nonspreading wave packet is unstable. An explicit variation of the initial Airy-state evolves into the self-accelerating and self-compressing solution presented here. Quasi-diffraction-free finite energy Airy beams that are more realistic for experimental study are obtained by analytic continuation and their Wigner function is evaluated. Nonlinear generalizations related to second Painleve transcendents are briefly discussed. Published by Elsevier B.V.

• 出版日期2012-12-3