1983
DOI: 10.1121/1.389043
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Distortion of finite amplitude ultrasound in lossy media

Abstract: A form of Burgers’ equation is used to derive an algorithm for calculating harmonic generation by a continuous plane wave of ultrasound propagating in a nonlinear, lossy, nondispersive medium. The algorithm accounts for attenuation that is not quadratically related to the frequency of the wave. Attenuation strongly affects the rate of harmonic production. The effect of variations of the relationship between attenuation and frequency is shown. Biological tissue is an example of a highly lossy medium where the a… Show more

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Cited by 77 publications
(24 citation statements)
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“…For example, transmitting a wave at 3-MHz frequency, the shock formation distance is less than 4 cm for an acoustic pressure of 1 MPa and is less than 3 cm if the acoustic pressure is higher than 1.3 MPa. These curves agree with previous statements (Haran and Cook 1983;Szabo et al 1999) and demonstrate that significant nonlinearities can occur in urine at diagnostic frequencies and pressures. In addition to being nonlinear, all the media have acoustical losses due to absorption.…”
Section: Approach and Theorysupporting
confidence: 90%
See 1 more Smart Citation
“…For example, transmitting a wave at 3-MHz frequency, the shock formation distance is less than 4 cm for an acoustic pressure of 1 MPa and is less than 3 cm if the acoustic pressure is higher than 1.3 MPa. These curves agree with previous statements (Haran and Cook 1983;Szabo et al 1999) and demonstrate that significant nonlinearities can occur in urine at diagnostic frequencies and pressures. In addition to being nonlinear, all the media have acoustical losses due to absorption.…”
Section: Approach and Theorysupporting
confidence: 90%
“…The distortion is due to slight nonlinearities in sound propagation and manifests itself in the frequency domain with the appearance of additional harmonic signals at integer multiples of the original frequency. Acoustic propagation in fluids gives rise to extreme nonlinear effects at diagnostic frequencies (Haran and Cook 1983). Within soft tissues, nonlinear processes also take place, but are attenuated and modified as a result of different acoustic characteristics, mainly high acoustic absorption.…”
Section: Approach and Theorymentioning
confidence: 99%
“…These effects have been shown previously for tissue like media in the absence of dispersion (Haran et al, 1983) and including power law dispersion Wallace et al, 2001) for selected media. A closer view of these phenomena can be studied by showing the harmonic amplitude at a given distance, that for reference we choose σ = 1.…”
Section: Nonlinear Efficiencymentioning
confidence: 84%
“…The authors could find no information for the clinical scenario they consider, of a spherically spreading blast wave of more than 1 GPa peak overpressure, the Gol'dberg numbers for tissue having been characterized for plane wave propagation of pressure fields with amplitudes typical of those generated directly by clinical diagnostic apparatus (Haran & Cook 1983;Duck 2010). In general, B/A varies only by a factor of around 2 between tissue types for a beam of given amplitude, being similar to water for most liquid tissues like urine, and ranging up to double that of water for fat.…”
Section: The Effect Of Tissuementioning
confidence: 98%