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|a eng
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|a Waters, Kendall R
|e verfasserin
|4 aut
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|a Differential forms of the Kramers-Krönig dispersion relations
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|c 2003
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|a Text
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|a ohne Hilfsmittel zu benutzen
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|a Date Completed 18.03.2003
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|a Date Revised 10.12.2019
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|a published: Print
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|a Citation Status MEDLINE
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|a Differential forms of the Kramers-Krönig dispersion relations provide an alternative to the integral Kramers-Krönig dispersion relations for comparison with finite-bandwidth experimental data. The differential forms of the Kramers-Krönig relations are developed in the context of tempered distributions. Results are illustrated for media with attenuation obeying an arbitrary frequency power law (alpha(omega) = alpha0 + alpha1(absolute value of omega)y). Dispersion predictions using the differential dispersion relations are compared to the measured dispersion for a series of specimens (two polymers, an egg yolk, and two liquids) exhibiting attenuation obeying a frequency power law (1.00 < or = y < or = 1.99), with very good agreement found. For this form of ultrasonic attenuation, the differential Kramers-Krönig dispersion prediction is found to be identical to the (integral) Kramers-Krönig dispersion prediction
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|a Comparative Study
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|a Journal Article
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|a Research Support, U.S. Gov't, P.H.S.
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|a Validation Study
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|a Mobley, Joel
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|a Miller, James G
|e verfasserin
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|i Enthalten in
|t IEEE transactions on ultrasonics, ferroelectrics, and frequency control
|d 1999
|g 50(2003), 1 vom: 20. Jan., Seite 68-76
|w (DE-627)NLM098181017
|x 0885-3010
|7 nnns
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| 773 |
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|g volume:50
|g year:2003
|g number:1
|g day:20
|g month:01
|g pages:68-76
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