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Yanpeng Zhang - One of the best experts on this subject based on the ideXlab platform.

  • soliton pair generation in the interactions of airy and nonlinear accelerating beams
    Optics Letters, 2013
    Co-Authors: Yiqi Zhang, Zhenkun Wu, Milivoj Belic, Keqing Lu, Huaibin Zheng, Yuanyuan Li, Yanpeng Zhang
    Abstract:

    We investigate numerically the interactions of two in-Phase and out-of-Phase Airy beams and nonlinear (NL) accelerating beams in Kerr and saturable NL media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-Phase Case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-Phase Case, they repel each other and, after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

  • Soliton pair generation in the interactions of Airy and nonlinear accelerating beams
    Optics letters, 2013
    Co-Authors: Yiqi Zhang, Huaibin Zheng, Milivoj R. Belić, Yanpeng Zhang
    Abstract:

    We investigate numerically the interactions of two in-Phase and out-of-Phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-Phase Case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-Phase Case, they repel each other and after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

Yiqi Zhang - One of the best experts on this subject based on the ideXlab platform.

  • soliton pair generation in the interactions of airy and nonlinear accelerating beams
    Optics Letters, 2013
    Co-Authors: Yiqi Zhang, Zhenkun Wu, Milivoj Belic, Keqing Lu, Huaibin Zheng, Yuanyuan Li, Yanpeng Zhang
    Abstract:

    We investigate numerically the interactions of two in-Phase and out-of-Phase Airy beams and nonlinear (NL) accelerating beams in Kerr and saturable NL media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-Phase Case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-Phase Case, they repel each other and, after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

  • Soliton pair generation in the interactions of Airy and nonlinear accelerating beams
    Optics letters, 2013
    Co-Authors: Yiqi Zhang, Huaibin Zheng, Milivoj R. Belić, Yanpeng Zhang
    Abstract:

    We investigate numerically the interactions of two in-Phase and out-of-Phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-Phase Case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-Phase Case, they repel each other and after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

Huaibin Zheng - One of the best experts on this subject based on the ideXlab platform.

  • soliton pair generation in the interactions of airy and nonlinear accelerating beams
    Optics Letters, 2013
    Co-Authors: Yiqi Zhang, Zhenkun Wu, Milivoj Belic, Keqing Lu, Huaibin Zheng, Yuanyuan Li, Yanpeng Zhang
    Abstract:

    We investigate numerically the interactions of two in-Phase and out-of-Phase Airy beams and nonlinear (NL) accelerating beams in Kerr and saturable NL media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-Phase Case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-Phase Case, they repel each other and, after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

  • Soliton pair generation in the interactions of Airy and nonlinear accelerating beams
    Optics letters, 2013
    Co-Authors: Yiqi Zhang, Huaibin Zheng, Milivoj R. Belić, Yanpeng Zhang
    Abstract:

    We investigate numerically the interactions of two in-Phase and out-of-Phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-Phase Case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-Phase Case, they repel each other and after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

Gen-jin Dong - One of the best experts on this subject based on the ideXlab platform.

  • Characteristics of flow over traveling wavy foils in a side-by-side arrangement
    Physics of Fluids, 2007
    Co-Authors: Gen-jin Dong
    Abstract:

    Flow over traveling wavy foils in a side-by-side arrangement has been numerically investigated using the space-time finite element method to solve the two-dimensional incompressible Navier-Stokes equations. The midline of each foil undergoes lateral motion in the form of a streamwise traveling wave, which is similar to the backbone undulation of swimming fish. Based on the Phase difference between the adjacent undulating foils, two typical Cases, i.e., in-Phase and anti-Phase traveling wavy movements, are considered in the present study. The effects of lateral interference among the foils on the forces, power consumption, propeller efficiency, and flow structures are analyzed. It is revealed that the lateral interference is of benefit to saving the swimming power in the in-Phase Case and enhancing the forces in the anti-Phase Case. Some typical vortex structures, e.g., vortex-pair row, single vortex row, and in-Phase and anti-Phase synchronized vortex-street, are observed in the wake of the traveling wavy...

Johan Schoukens - One of the best experts on this subject based on the ideXlab platform.

  • A Rigorous Analysis of Least Squares Sine Fitting Using Quantized Data: the Random Phase Case
    arXiv: Signal Processing, 2018
    Co-Authors: Paolo Carbone, Johan Schoukens
    Abstract:

    This paper considers least-square based estimation of the amplitude and square amplitude of a quantized sine wave, done by considering random initial record Phase. Using amplitude- and frequency-domain modeling techniques, it is shown that the estimator is inconsistent, biased and has a variance that may be underestimated if the simple model of quantization is applied. The effects of both sine wave offset values and additive Gaussian noise are taken into account. General estimator properties are derived, without making simplifying assumptions on the role of the quantization process, to allow assessment of measurement uncertainty, when this least-square procedure is used.

  • A Rigorous Analysis of Least Squares Sine Fitting Using Quantized Data: The Random Phase Case
    IEEE Transactions on Instrumentation and Measurement, 2014
    Co-Authors: Paolo Carbone, Johan Schoukens
    Abstract:

    This paper considers least square (LS) based estimation of the amplitude and square amplitude of a quantized sine wave, done by considering random initial record Phase. Using amplitude- and frequency-domain modeling techniques, it is shown that the estimator is inconsistent, biased, and has a variance that may be underestimated if the simple model of quantization is applied. The effects of both sine wave offset values and additive Gaussian noise are considered. General estimator properties are derived, without making simplifying assumptions on the role of the quantization process, to allow assessment of measurement uncertainty, when this LS procedure is used.