Subharmonic and ultraharmonic emissions based on the nonlinear oscillation of encapsulated microbubb

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Subharmonics or ultraharmonics provides better contrast-to-tissue ratio (CTR) than the fundamental or the second harmonics, having prospective application in medical diagnosis. In this paper, subharmonic and ultra-harmonic emissions are theoretically studied through nonlinear oscillation of encapsulated bubbles. The optimized frequencies for emissions of the subharmonics and ultra-harmonics are discussed. In addition, sound pressure de-pendences of the subharmonics and ultraharmonics are studied in theory as well as in measurement. Results reveal that the developments of both subharmonics and ultrahar-monics have the same trend, i.e. occurrence, growth and saturation, but the generation of ultraharmonic is a little earlier than that of subharmonic. Subharmonics or ultraharmonics provides better contrast-to-tissue ratio (CTR) than the fundamental or the second harmonics, having prospective application in medical diagnosis. In this paper, subharmonic and ultra-harmonic emissions are theoretically studied through nonlinear oscillation of encapsulated bubbles. optimized frequencies for emissions of the subharmonics and ultra-harmonics are discussed. In addition, sound pressure de-pendences of the subharmonics and ultraharmonics are studied in theory as well as in measurement. Results reveal that the developments of both subharmonics and ultrahar-monics have the same trend, ie occurrence, growth and saturation, but the generation of ultraharmonic is a little earlier than that of subharmonic.
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