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3.0

Jun 28, 2018
06/18

by
Yiqi Zhang; Xing Liu; Milivoj R. Belić; Weiping Zhong; Yanpeng Zhang; Min Xiao

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Dynamics of wavepackets in fractional Schrodinger equation is still an open problem. The difficulty stems from the fact that the fractional Laplacian derivative is essentially a nonlocal operator. We investigate analytically and numerically the propagation of optical beams in fractional Schr\"odinger equation with a harmonic potential. We find that the propagation of one- and two-dimensional (1D, 2D) input chirped Gaussian beams is not harmonic. In 1D, the beam propagates along a zigzag...

Topics: Quantum Physics, Optics, Physics

Source: http://arxiv.org/abs/1510.05806

3
3.0

Jun 30, 2018
06/18

by
Yiqi Zhang; Xing Liu; Milivoj R. Belić; Weiping Zhong; Milan S. Petrović; Yanpeng Zhang

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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. The oscillating period of parity-asymmetric beams is twice that of the parity-symmetric beams. In addition to oscillation, the...

Topics: Physics, Optics

Source: http://arxiv.org/abs/1412.6648

3
3.0

Jun 28, 2018
06/18

by
Yiqi Zhang; Hua Zhong; Milivoj R. Belić; Xing Liu; Weiping Zhong; Yanpeng Zhang; Min Xiao

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We demonstrate the dual accelerating Airy-Talbot recurrence effect, i.e., the self-imaging of accelerating optical beams, by propagating a superposition of Airy beams with successively changing transverse displacements. The dual Airy-Talbot effect is a spontaneous recurring imaging of the input and of the input with alternating component signs. It results from the constructive interference of Airy wave functions, which is also responsible for other kinds of Airy beams, for example, Airy...

Topics: Optics, Physics

Source: http://arxiv.org/abs/1510.05856

2
2.0

Jun 30, 2018
06/18

by
Yiqi Zhang; Milivoj R. Belić; Weiping Zhong; Feng Wen; Yang Guo; Yao Guo; Keqing Lu; Yanpeng Zhang

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We numerically investigate the light beam propagation in periodic waveguide arrays which are elaborately modulated with certain structures. We find that the light beam may split, coalesce, deflect, and be localized during propagation in these spatially modulated waveguide arrays. All the phenomena originate from Bloch oscillations, and supply possible method for fabricating on-chip beam splitters and beam combiners.

Topics: Physics, Optics

Source: http://arxiv.org/abs/1412.3272

2
2.0

Jun 29, 2018
06/18

by
Yiqi Zhang; Hua Zhong; Milivoj R. Belić; Yi Zhu; Weiping Zhong; Yanpeng Zhang; Demetrios N. Christodoulides; Min Xiao

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We investigate the fractional Schr\"odinger equation with a periodic $\mathcal{PT}$-symmetric potential. In the inverse space, the problem transfers into a first-order nonlocal frequency-delay partial differential equation. We show that at a critical point, the band structure becomes linear and symmetric in the one-dimensional case, which results in a nondiffracting propagation and conical diffraction of input beams. If only one channel in the periodic potential is excited, adjacent...

Topics: Optics, Physics

Source: http://arxiv.org/abs/1603.08345