| Wave Scattering by Small Bodies of Arbitrary Shapes Contributor(s): Ramm, Alexander G. (Author) |
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ISBN: 9812561862 ISBN-13: 9789812561862 Publisher: World Scientific Publishing Company OUR PRICE: $114.00 Product Type: Hardcover - Other Formats Published: May 2005 Annotation: This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered. The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructured for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes. |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational - Science | Physics - Electromagnetism - Technology & Engineering | Electrical |
| Dewey: 530.124 |
| Physical Information: 0.89" H x 6.1" W x 9.32" (1.29 lbs) 312 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered.The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructed for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes. |