02345nam a22003378a 4500 CR9781139047838 UkCbUP 20180107143415.0 m|||||o||d|||||||| cr|||||||||||| 110304s2012||||enk s ||1 0|eng|d 9781139047838 (ebook) 9780521119740 (hardback) UkCbUP UkCbUP rda QC174.26.W28 D382 2012 515/.357 23 Devaney, Anthony J., author. Mathematical Foundations of Imaging, Tomography and Wavefield Inversion / [electronic resource] Anthony J. Devaney. Mathematical Foundations of Imaging, Tomography & Wavefield Inversion Cambridge : Cambridge University Press, 2012. 1 online resource (536 pages) : digital, PDF file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier Title from publisher's bibliographic system (viewed on 09 Oct 2015). Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740. Wave equation Inverse problems (Differential equations) Print version: 9780521119740 http://dx.doi.org/10.1017/CBO9781139047838 Cambridge Books Online 236729 236729