Automatic Fourier transform and self-Fourier beams due to parabolic potential

作者：Zhang, Yiqi^*; Liu, Xing; Belic, Milivoj R; Zhong, Weiping; Petrovic, Milan S; Zhang, Yanpeng

来源：Annals of Physics, 2015, 363: 305-315.

DOI：10.1016/j.aop.2015.10.006

• Parabolic potential
• Self-Fourier beam

We investigate the propagation of light beams including Hermite-Gauss, Bessel-Gauss and finite energy Airy beams in a linear medium with parabolic potential. Expectedly, the beams undergo oscillation during propagation, but quite unexpectedly they also perform automatic Fourier transform, that is, periodic change from the beam to its Fourier transform and back. In addition to oscillation, the finite-energy Airy beams exhibit periodic inversion during propagation. The oscillating period of parity-asymmetric beams is twice that of the parity-symmetric beams. Based on the propagation in parabolic potential, we introduce a class of optically-interesting beams that are self-Fourier beams that is, the beams whose Fourier transforms are the beams themselves.

• 出版日期2015-12
• 单位顺德职业技术学院; 西安交通大学