1986
DOI: 10.1121/1.2023514
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Instantaneous intensity

Abstract: Expressing time as a fourth space coordinate under the rule x4 = ict, where i is the imaginary operator, allows the interpretation of a complex velocity which is the four-dimensional gradient of a potential. The three-conventional space components of this gradient yield particle velocity, while the fourth component yields sound pressure divided by the product of density and sound speed c. In accordance with an energy theorem of Heyser [J. Audio Eng. Soc. 19, 902 (1971)], this four-dimensional velocity is inter… Show more

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Cited by 10 publications
(13 citation statements)
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“…Jacobsen 6 suggests that when measuring the instantaneous complex sound intensity in a nonmonochromatic sound field it is preferable to use a narrow band source in order to apply the complex representation of the instantaneous intensity suggested by Heyser 7 . In this respect, the study of instantaneous complex intensity in a non-monochromatic sound field is challenging and so if one is attempting to compare prediction and experiment it is sensible first to simplify the problem and use only a monochromatic sound field.…”
Section: Complex Intensity Definitionsmentioning
confidence: 99%
See 4 more Smart Citations
“…Jacobsen 6 suggests that when measuring the instantaneous complex sound intensity in a nonmonochromatic sound field it is preferable to use a narrow band source in order to apply the complex representation of the instantaneous intensity suggested by Heyser 7 . In this respect, the study of instantaneous complex intensity in a non-monochromatic sound field is challenging and so if one is attempting to compare prediction and experiment it is sensible first to simplify the problem and use only a monochromatic sound field.…”
Section: Complex Intensity Definitionsmentioning
confidence: 99%
“…The first technique is based on the method proposed by Heyser 7 , who defines the instantaneous active and reactive intensity as…”
Section: Complex Intensity Definitionsmentioning
confidence: 99%
See 3 more Smart Citations