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Correction for Hydrophone Spatial Averaging Artifacts for Circular Sources.

Keith A Wear, Anant Shah, Christian Baker

    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
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    Summary
    This summary is machine-generated.

    This study introduces an inverse-filter method to correct for hydrophone spatial averaging errors in pressure measurements. The developed empirical formulas allow researchers to accurately adjust peak pressures and pulse intensity integrals.

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    Area of Science:

    • Acoustics
    • Ultrasonics
    • Biomedical Engineering

    Background:

    • Experimental pressure measurements using hydrophones can be underestimated due to spatial averaging effects.
    • This underestimation varies with hydrophone type, size, and transducer characteristics.

    Purpose of the Study:

    • To develop and validate an inverse-filter method for correcting hydrophone spatial averaging errors.
    • To provide empirical formulas for correcting pressure measurements in ultrasonic applications.

    Main Methods:

    • An inverse-filter method was investigated to calculate the spatial averaging filter (SAF).
    • SAF was determined based on hydrophone type, element diameter, driving frequency, and transducer F number.
    • Experimental SAFs were compared to theoretical SAFs for 25 transducer/hydrophone pairs.

    Main Results:

    • The mean absolute difference between theoretical and experimental SAFs was 7% ± 3%.
    • Empirical formulas were derived to correct for spatial averaging errors in peak compressional pressure (pc), peak rarefactional pressure (pr), and pulse intensity integral.
    • Example calculations showed significant spatial averaging errors (e.g., ~16% for pc) for specific transducer/hydrophone configurations.

    Conclusions:

    • The inverse-filter method effectively corrects for hydrophone spatial averaging errors.
    • The provided empirical formulas enable accurate pressure and pulse intensity integral corrections in ultrasonic research.
    • The method offers plausible error bounds for various transducer types, including arrays.