Studies on ultrasonic scattering from quasi-periodic structures

Area of Science:

• Physics
• Signal Processing
• Materials Science

Background:

• Nonuniform phase statistics are crucial for understanding complex scattering phenomena.
• Existing methods may not fully capture the nuances of quasi-periodic scattering.
• A need exists for robust parameters to quantify regularity in scattering data.

Purpose of the Study:

• To extend the analysis of nonuniform phase statistics using quasi-periodic scattering.
• To introduce and evaluate three novel parameters for predicting regular structures.
• To assess the potential of these parameters in understanding scattering from quasi-periodic media.

Main Methods:

• Utilized signal-to-noise ratio of phase to assess uniformity.
• Employed the chi-squared (χ²) goodness-of-fit test for distribution verification.
• Analyzed power spectral density (PSD) to quantify periodicity.

Main Results:

• Demonstrated that the signal-to-noise ratio and χ² statistic effectively verify phase distribution uniformity.
• Showcased the power spectral density's capability in revealing the level of periodicity.
• Computer simulations and phantom experiments validated the efficacy of the proposed parameters.

Conclusions:

• The introduced parameters show significant potential for analyzing scattering from quasi-periodic structures.
• These parameters offer a more comprehensive understanding of signal behavior in complex media.
• The findings contribute to advancements in signal processing and materials characterization.