Theory of the Visualization of Ultrasonic Waves (I) Theory of the Schlieren Method for Visualizing Ultrasonic Waves
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概要
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Intensity distribution of light in the image of the progressive ultrasonic waves obtained by the Schlieren method with stroboscopic illumination has been computed by the vector method. Pure phase-lattice is assumed in the plane of emergence of light out of the ultrasonic beam and the plane of focussing is assumed to be this plane. Several cases are to be distinguished according to the orders of light removed in obtaining the image. (a) In case the ultrasonic image is obtained by removing the zero order light, the visibility is good for small values of v, the amplitude of variation of the phase angle in the phaselattice - corrugated wave - of light produced in the plane of emergence of light from the ultrasonic wave. The visibility vanishes, however, at zeros of the Bessel function J_0(v) (v=2.40, 5.52, ...); (b) In case the image is obtained by removing one of the two first order spectra, the visibility is zero for v=0, and for the other values of zeros of J_1(v) (v=3.83, ...), having maximum between two neighbouring zeros. (c) The visibility of the image obtained by removing the zero order spectrum and one of the first order spectra is always better than that of the image obtained in ease (b) and also better than the image obtained in case (a) except for small values of v (v≦1). The visibility in t le case (c) is comparatively insensitive to the values of v for wide range of v, being better than 75% for v=1〜6. (d) The visibility of the image obtained by removing one of the first order spectra and part of the light of the zero order is improved in the region of small values of v as compared with the case (c), the visihiiity for greater values of v not much decreasing. For example, the visibility of the image obtained by removing 97.75% (in intensity) of the zero order light and one of the two first orders is more than 95% in the range v=0.2〜2 and not less than 70% in the range v=0.1〜6. In all cases, the ultrasonic images show fine structures as the value of v increases.
- 社団法人日本物理学会の論文
- 1954-04-25
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