Bistatic phase function and fast solution of scattering by 2D random distributed scatterers

We present large‐scale Monte Carlo simulation results of the phase functions in multiple scattering by dense media of small 2D particles. Solution of the Foldy–Lax equations with large number of unknowns is done efficiently using the sparse‐matrix canonical‐grid (SMCG) method. The SMCG method facilitates the use of FFT and results in an N log N‐type efficiency for CPU and O(N) for memory. This dependence is demonstrated by the simulation of CPU time using up to 50000 particles that are randomly distributed through random walk in a large area of 400 square wavelengths. The bistatic phase functions for a random medium are computed. The phase function converges with the number of particles and the number of realizations. The simulation results indicate that the nonsticky particles, sticky particles, and independent scattering have similar angular distribution patterns of the phase functions. However, the dense sticky particles show stronger scattering than the independent scattering, while the dense nonsticky particles have smaller scattering than that of the independent scattering. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 38: 313–317, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11047