Automatic Fourier transform and self-Fourier beams due to parabolic potential
- Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049 (China)
- Department of Electronic and Information Engineering, Shunde Polytechnic, Shunde 528300 (China)
- Institute of Physics, P.O. Box 68, 11001 Belgrade (Serbia)
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.
- OSTI ID:
- 22560282
- Journal Information:
- Annals of Physics, Journal Name: Annals of Physics Journal Issue: Complete Vol. 363; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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