Fast Field Program (FFP) for Underwater Acoustic Propagation Calculation

The Fast Field Program (FFP) is a computational method designed for underwater acoustic propagation analysis, leveraging propagation matrices, iterative techniques, and Fast Fourier Transform (FFT) algorithms.

The FFP method provides an efficient approach to simulate sound wave propagation in aquatic environments. By implementing propagation matrices, the program models wave transmission through water layers, while iterative refinement processes enhance matrix accuracy for more precise results. The integration of FFT algorithms significantly accelerates computational performance through optimized frequency-domain transformations, enabling researchers and engineers to obtain propagation results faster and improve the efficiency of related research and engineering projects.

Propagation matrices form the core computational framework, typically constructed using layer-specific acoustic parameters (density, sound speed) to represent medium characteristics. Iterative methods (e.g., conjugate gradient or Gauss-Seidel iterations) progressively refine solution convergence, with convergence criteria often implemented through residual threshold checks. The FFT implementation handles Fourier-Bessel transformations critical for wavefield calculations, where algorithmic optimization reduces computational complexity from O(n²) to O(n log n).

In summary, the Fast Field Program serves as a high-performance tool for underwater acoustic propagation modeling. By combining matrix propagation theory, iterative solvers, and spectral transformation techniques, it enables detailed analysis of acoustic wave behavior, supporting advanced research in ocean acoustics and sonar system design.