• Chinese Optics Letters
  • Vol. 15, Issue 7, 071201 (2017)
Lieshan Zhang, Xiaolin Zhang*, and Wenyan Tang
Author Affiliations
  • School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China
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    DOI: 10.3788/COL201715.071201 Cite this Article Set citation alerts
    Lieshan Zhang, Xiaolin Zhang, Wenyan Tang. Detection of water surface capillary wave by analysis of turning-point local signal data using a laser interferometer[J]. Chinese Optics Letters, 2017, 15(7): 071201 Copy Citation Text show less

    Abstract

    A laser interferometry technique is developed to detect water surface capillary waves caused by an impinging acoustic pressure field. The frequency and amplitude of the water surface capillary waves can be estimated from the local signal data at some special points of the phase modulated interference signal, which is called the turning points. Demodulation principles are proposed to explain this method. Experiments are conducted under conditions of different intensity and different frequency driving acoustic signals. The results show the local signal data analysis can effectively estimate the amplitude and frequency of water surface capillary waves.
    U(t)=A0cos[2kAnsin(ωnt+n)+2kAssin(ωst+s)+φi],(1)

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    U(t)=A0cos[2kAssin(ωst+s)+α].(2)

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    U(t)=A0cosα[J0(x)+2m=1J2m(x)cos2mθ]+2A0sinαm=0J2m+1(x)cos[(2m+1)θ].(3)

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    U(t)A0cosαJ0(x)+2A0sinαJ1(x)cosθ.(4)

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    J1(x)=AmaxAmin4sin[arccos(0.5Amax+0.5Amin)].(5)

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    Lieshan Zhang, Xiaolin Zhang, Wenyan Tang. Detection of water surface capillary wave by analysis of turning-point local signal data using a laser interferometer[J]. Chinese Optics Letters, 2017, 15(7): 071201
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