2024/10/04 by Rafi Rizqy Firdaus, Firdaus, Rafi Rizqy, Serge Richard +1
Engineering · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #History and Overview (math.HO) #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Microwave Imaging and Scattering Analysis #Optical and Acousto-Optic Technologies
paper · pdf · doi:10.48550/arxiv.2410.03285
openalex publication_date 2024/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on explicit computations, various concepts of discrete time scattering theory are reviewed, discussed, and illustrated. The dynamics are taking place on a discrete half-space. All operators are represented graphically. The expressions obtained for the wave operators lead to an easily visualized interpretation of Wold's decomposition, a seminal result of operator theory. This work is clearly pedagogically oriented with the aim of providing explicit formulas and pictures for usually unexplicit operators.