Propagation of waves in fractal spaces

作     者：El-Nabulsi, Rami Ahmad Golmankhaneh, Alireza Khalili 

作者机构：Center of Excellence in Quantum Technology Faculty of Engineering Chiang Mai University Chiang Mai Thailand Quantum-Atom Optics Laboratory and Research Center for Quantum Technology Faculty of Science Chiang Mai University Chiang Mai Thailand Department of Physics and Materials Science Faculty of Science Chiang Mai University Chiang Mai Thailand Artificial Intelligence and Big Data Automation Research Center Urmia Branch Islamic Azad University Urmia Iran 

出 版 物：《Waves in Random and Complex Media》 (Waves Random Complex Media)

年 卷 期：2023年

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0702[理学-物理学] 

主　　题：Wave propagation 

摘      要：In this study, we study waves propagation in fractal spaces based on two independent variational approaches: the first one is based on the ‘product-like fractal measure’ introduced by Li and Ostoja-Starzewski in their analysis of nonlinear fractal dynamics in anisotropic porous media whereas the second and another is based on fractal calculus, which includes analytical functions with fractal support. The first approach is motivating since it describes physics in anisotropic media characterized by fractal dimensions. The second one is also of particular importance since it offers a new framework to reformulate the laws of physics in spaces with fractional dimensions. In both approaches, the fractional Laplace equation is derived and solved using plausible boundary conditions. This study proves the importance of fractals in wave motion We show that these models are able to describe the propagation of waves in a fractal Hausdorff dimensional space. © 2023 Informa UK Limited, trading as Taylor & Francis Group.