TY - BOOK AU - Fouque,Jean-Pierre AU - Garnier,,Josselin AU - Papanicolaou,,G. AU - Solna,Knut TI - Wave propagation and time reversal in randomly layered media T2 - Stochastic modelling and applied probability SN - 0387308903 U1 - 515 PY - 2007/// CY - [S.l.] PB - Springer KW - Classical mechanics KW - Computer aided design (CAD) KW - Statistical physics KW - Scattering (Physics) KW - Space and time KW - Time reversal KW - Wave-motion, Theory of KW - Mathematics KW - Science/Mathematics KW - Applied KW - Differential equations KW - Mathematics / Applied KW - MATHEMATICS / Differential Equations KW - Mathematics / Probability & Statistics / General KW - Probability & Statistics - General KW - Science / Acoustics & Sound KW - Science / Mechanics / Dynamics / Fluid Dynamics KW - Physics N1 - Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments. This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients. The first half of the book gives a detailed treatment of wave reflection and transmission in one-dimensional random media, after introducing gradually the tools from partial differential equations and probability theory that are needed for the analysis. The second half of the book presents wave propagation in three-dimensional randomly layered media along with several applications, primarily involving time reversal. Many new results are presented here for the first time ER -