| 书目名称 | Waves with Power-Law Attenuation |
| 编辑 | Sverre Holm |
| 视频video | |
| 概述 | Couples fractional derivatives and power laws and gives their multiple relaxation process interpretation.Investigates causes of power law attenuation and dispersion such as interaction with hierarchic |
| 图书封面 |  |
| 描述 | .This book integrates concepts from physical acoustics with those from linear viscoelasticity and fractional linear viscoelasticity. Compressional waves and shear waves in applications such as medical ultrasound, elastography, and sediment acoustics often follow power law attenuation and dispersion laws that cannot be described with classical viscous and relaxation models. This is accompanied by temporal power laws rather than the temporal exponential responses of classical models.. .The book starts by reformulating the classical models of acoustics in terms of standard models from linear elasticity. Then, non-classical loss models that follow power laws and which are expressed via convolution models and fractional derivatives are covered in depth. In addition, parallels are drawn to electromagnetic waves in complex dielectric media. The book also contains historical vignettes and important side notes about the validity of central questions. While addressed primarily to physicists and engineers working in the field of acoustics, this expert monograph will also be of interest to mathematicians, mathematical physicists, and geophysicists.. |
| 出版日期 | Book 2019 |
| 关键词 | Power laws acoustics; Linear viscoelasticity; Elastic waves acoustics; Ultrasound mathematical basis; Fr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-14927-7 |
| isbn_ebook | 978-3-030-14927-7 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 17:19:02
