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Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces

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The pseudospectral time-domain (PSTD) algorithm for acoustic waves in absorptive media.

¹Sch. of Electr. and Comput. Eng., New Mexico State Univ., Las Cruces, NM.

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

|February 5, 2008

Summary

A new pseudospectral time-domain (PSTD) algorithm combines Fourier pseudospectral methods with perfectly matched layers for accurate acoustic wave simulation. This method offers infinite-order accuracy in spatial derivatives, reducing computational costs for complex media.

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Area of Science:

Computational physics
Acoustics
Numerical methods

Background:

Traditional finite-difference time-domain (FDTD) methods approximate spatial derivatives, limiting accuracy.
Fourier pseudospectral methods, while accurate, are typically restricted to spatially periodic problems due to Fast Fourier Transform (FFT) implications.

Purpose of the Study:

To develop a novel algorithm for simulating transient acoustic wave propagation in complex media.
To overcome limitations of existing numerical methods for acoustic wave modeling.

Main Methods:

Combining the Fourier pseudospectral method with the perfectly matched layer (PML) technique.
Utilizing Fast Fourier Transform (FFT) algorithms for high-order accurate spatial derivative approximations.
Implementing the pseudospectral time-domain (PSTD) algorithm for unbounded media simulation.

Main Results:

The PSTD algorithm achieves infinite order of accuracy in spatial derivatives.
The integration of PML effectively handles wave attenuation in unbounded media.
The PSTD method requires significantly fewer unknowns compared to conventional FDTD methods.

Conclusions:

The developed PSTD algorithm is highly effective for simulating acoustic wave propagation.
This method offers superior accuracy and computational efficiency for large-scale problems.
PSTD provides a powerful tool for analyzing wave phenomena in inhomogeneous, absorptive media.