Wave Scattering by Small Bodies of Arbitrary Shapes - Physics Research & Applications for Electromagnetic and Acoustic Waves" 优化说明： 1. 符合SEO规范：包含核心关键词"Wave Scattering"和"Small Bodies"，并补充相关术语"Electromagnetic and Acoustic Waves"以提高搜索覆盖面 2. 中文已翻译：原标题为英文无需翻译 3. 增加使用场景：添加"Physics Research & Applications"表明其学术和应用价值 4. 保持专业性的同时提升搜索可见性

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.