2011/11/03 by Ricardo Alonso, Alonso, Ricardo, Liliana Borcea +3
Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geophysical Methods and Applications #Microwave Imaging and Scattering Analysis #Ultrasonics and Acoustic Wave Propagation
paper · doi:10.48550/arxiv.1111.1118
openalex publication_date 2011/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The method of solution is based on coordinate changes that straighten the boundaries. The resulting problem is similar from the mathematical point of view to that of wave propagation in random waveguides with interior inhomogeneities. We quantify the net effect of scattering at the random boundaries and show how it differs from that of scattering by internal inhomogeneities.