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声表面波在Bragg声栅上衍射的偏转声束的发散角

ON THE ANGULAR SPREAD OF THE DEFLECTED SURFACE ACOUSTIC WAVE BEAM DIFFRACTED BY BRAGG GRATING

  • 摘要: 本文从声表面波在声栅上的Bragg衍射的偏转角公式和偏转效率公式出发,分析了偏转声束的发散角δθ1与声栅有关参数的关系。文中定义了声栅Bragg衍射的“Bragg角谱宽度”δθB,讨论了该量在判定偏转声束发散角δθ1时的意义。结果表明:若入射声束的发散角δθinc的值大于声栅“Bragg角谱宽度”δθB,则偏转声束的发散角δθ1等于δθB;反之若δθinc小于δθB,则δθ1=δθinc
    实验上,应用观察和测量声-光衍射图案中的各束声对应的衍射光点的宽度的方法,对四种不同结构的样品——其中两种相应于δθinc<<δθB,另两种相应于δθinc>>δθB的情形——测量了δθincδθ1。结果表明,上述理论分析结果与测量结果是一致的。

     

    Abstract: In this paper, basing on the equations of the deflection angle and of the deflection efficiency, the relation between the angular spread of the deflected SAW beam on the Bragg grating denoted by δθ1, and the parameters of the grating is analyzed. A parameter referred to as 'Bragg width of the angular spectrum' of the acoustic grating is defined and it is designated with δθB. The meaning of the parameter δθB for distinguishing the angular spread range of the deflection beam is discussed as well. It is concluded from the analysis that if the spread angle of the incident beam (labelled with δθinc) is larger than the 'Bragg width of the angular spectrum' of the grating, the spread angle of the deflection beam δθ1 will equal to δθB; On the contrary, if the angular divergency of the incident beam is less than δθB, then,δθ1= δθinc.
    Experimentally, 4 kinds of samples with different configuration patterns, 2 of which correspond to the regime of δθinc>>δθB, and the others correspond to the regime of δθinc<<δθB, are investigated by optical method. The width of the angular spread for incident beam and that for deflected beam are estimated by measuring the width of the acousto-optical diffraction point patterns. It is demonstrated that experimental results agree with theoretically expected results.

     

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