Modeling ultrasonic wave fields using a Quasi-Monte Carlo method: Wave transmission through complicated interfaces.

Area of Science:

• Acoustics
• Computational Physics
• Wave Propagation

Background:

• The Quasi-Monte Carlo (QMC) method, established by Zhang, offers accurate and efficient modeling of ultrasonic transducer sound fields.
• Simulating wave propagation through interfaces is crucial for understanding acoustic phenomena in layered media.

Purpose of the Study:

• To extend the QMC method for simulating transmitted wave fields through complex interfaces.
• To evaluate the accuracy and efficiency of the QMC method in modeling wave transmission in two-layer media.

Main Methods:

• Utilizing a nested-form Rayleigh integral expression to model transmitted wave calculations.
• Applying the QMC method to solve nested integrals by separately sampling pseudo-random points for the transducer and interface.
• Obtaining transmitted wave fields through the final sample mean.

Main Results:

• The QMC method demonstrates high accuracy and efficiency in modeling transmitted wave fields.
• Successful simulation of wave transmission through planar and curved interfaces, both normally and obliquely.
• The method's robustness is maintained even for complicated interfaces constructible with pseudo-random samples.

Conclusions:

• The extended QMC method provides an accurate and efficient approach for simulating ultrasonic wave fields transmitted through complex interfaces.
• This computational technique is versatile and applicable to various interface geometries and wave incidence angles.
• The QMC method offers a powerful tool for acoustic modeling, particularly in scenarios involving intricate interfacial boundaries.