Nonlinear interactions of finite amplitude and weak subharmonic plane waves-Phase-dependent parametric amplification

Fenlon's solution of tone-tone interaction is used to derive parametric amplification of a weak subharmonic wave being interacted with an intense pump wave. The theory only the quadratic nonlinearity of medium is taken into consideration accounts for clear effects of the initial phase of the we...

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Published inJournal of the Acoustical Society of Japan (E) Vol. 6; no. 3; pp. 155 - 160
Main Authors Kamakura, Tomoo, Ikegaya, Kazuo, Chou, Ing-Min
Format Journal Article
LanguageEnglish
Published Acoustical Society of Japan 1985
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Abstract Fenlon's solution of tone-tone interaction is used to derive parametric amplification of a weak subharmonic wave being interacted with an intense pump wave. The theory only the quadratic nonlinearity of medium is taken into consideration accounts for clear effects of the initial phase of the weak signal on the parametric amplification. In particular, the degenerate case where the weak signal frequency is half of the pump, the amplification varies dramatically with the initial phase. However, the amplification of higher order subharmonic wave becomes independent of the initial phase. Experiments for half and one-third subharmonics are performed in a plane acoustic wave tube. The experimental trends of the phase-dependent parametric amplification are predicted well by the theory.
AbstractList Fenlon's solution of tone-tone interaction is used to derive parametric amplification of a weak subharmonic wave being interacted with an intense pump wave. The theory only the quadratic nonlinearity of medium is taken into consideration accounts for clear effects of the initial phase of the weak signal on the parametric amplification. In particular, the degenerate case where the weak signal frequency is half of the pump, the amplification varies dramatically with the initial phase. However, the amplification of higher order subharmonic wave becomes independent of the initial phase. Experiments for half and one-third subharmonics are performed in a plane acoustic wave tube. The experimental trends of the phase-dependent parametric amplification are predicted well by the theory.
Author Kamakura, Tomoo
Chou, Ing-Min
Ikegaya, Kazuo
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  fullname: Chou, Ing-Min
  organization: Department of Electronic Engineering, National Taiwan Institute of Technology
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References 7) D. T. Blackstock, “Spectral interactions in nonlinear acoustics-A review,” IUTAM Symp. Nonlinear Deformation Waves in Tallinn, Estonia, U. S. S. R.(1982).
5) F. H. Fenlon, “An extension of the Bessel-Fubini series for a multiple-frequency CW acoustic source of finite amplitude,” J. Acoust. Soc. Am. 51,284-289 (1972).
6) M. E. Schaffer, “The suppression of sound with sound,” Tech. Rep. ARL-TR-75-64, Applied Research Laboratories, The University of Texas at Austin (1975).
2) B. K. Novikov and O. V. Rudenko, “Degenerate parametric amplification of sound,” Sov. Phys. Acoust. 22,258-259 (1976).
3) K. Sakagami, S. Aoki, T. Kamakura, and K. Ikegaya, “Experimental investigations on the degenerate parametric amplification,” J. Acoust. Soc. Jpn. 37,504-509 (1981)(in Japanese).
4) F. M. Pestorius, “Propagation of plane acoustic noise of finite amplitude,” Tech. Rep. ARL-TR-73-23, Applied Research Laboratories, The University of Texas at Austin (1973).
8) T. Kamakura, K. Sakagami, S. Aoki, and K. Ikegaya, “ Nonlinear interaction of two acoustic waves-Effects of initial phase on the defference frequency wave,” Meeting of Institute of Electronics and Communication Engineers of Japan, Paper US80-58 (1981)(in Japanese).
9) R. T. Beyer, Nonlinear Acoustics (Naval Sea Systems Command, Washington, D. C., 1974), p.120.
1) O. V. Rudenko, “Parametric interaction of traveling sound waves,” Sov. Phys. Acoust. 20, 63-64 (1974).
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Title Nonlinear interactions of finite amplitude and weak subharmonic plane waves-Phase-dependent parametric amplification
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