Iranian Statistical Society Journal of the Iranian Statistical Society 1726-4057 23 2 2024 12 01 Analytical Characterization of Dimple Effect for Spatio-temporal Beams 179 197 725511 10.22034/jirss.2025.2028062.1060 EN Ali Mohammadian Mosammam Department of Statistics, University of Zanjan, Zanjan, Iran. 0000-0001-8094-7517 Journal Article 2024 05 03 In this paper, we first consider the propagation characteristics of a spatio-temporal Gaussian pulse using both simplified analytical and numerical approaches. Second, we focus on the counterintuitive presence of a possible dimple property associated with these spatio-temporal Gaussian pulses and the corresponding intensity functions. The<br />analytical results are supported with numerical simulations of the exact pulsed-beam solution and various plots. Gaussian Beam Dimple Effect Parabolic Approximation wave propagation https://jirss.irstat.ir/article_725511_7861cebf18e3cc86028705f3820c9278.pdf