| Wave Propagation and Time Reversal in Randomly Layered Media Contributor(s): Fouque, Jean-Pierre (Author), Garnier, Josselin (Author), Papanicolaou, G. (Author) |
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ISBN: 1441921621 ISBN-13: 9781441921628 Publisher: Springer OUR PRICE: $75.99 Product Type: Paperback - Other Formats Published: November 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Differential Equations - General - Mathematics | Probability & Statistics - General |
| Dewey: 519.23 |
| Series: Stochastic Modelling and Applied Probability |
| Physical Information: 1.28" H x 6.14" W x 9.21" (1.93 lbs) 612 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Our motivation for writing this book is twofold: First, the theory of waves propagating in randomly layered media has been studied extensively during the last thirty years but the results are scattered in many di?erent papers. This theory is now in a mature state, especially in the very interesting regime of separation of scales as introduced by G. Papanicolaou and his coauthors and described in 8], which is a building block for this book. Second, we were motivatedbythe time-reversalexperimentsofM. Finkandhis groupinParis. They were done with ultrasonic waves and have attracted considerable att- tion because of the surprising e?ects of enhanced spatial focusing and time compression in random media. An exposition of this work and its appli- tions is presented in 56]. Time reversal experiments were also carried out with sonar arrays in shallow water by W. Kuperman 113] and his group in San Diego. The enhanced spatial focusing and time compression of signals in time reversal in random media have many diverse applications in detection and in focused energy delivery on small targets as, for example, in the - struction of kidney stones. Enhanced spatial focusing is also useful in sonar and wireless communications for reducing interference. Time reversal ideas have played an important role in the development of new methods for array imaging in random media as presented in 19]. |