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A new scattering theory for linear random media

 

作者: David Middleton,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1979)
卷期: Volume 65, issue S1  

页码: 42-42

 

ISSN:0001-4966

 

年代: 1979

 

DOI:10.1121/1.2017251

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

A new and canonical approach to scattering problems in linear random media, including interfaces, is described, which incorporates the “classical” continuum theories (Eckart, Tatarskii, Tolstoy, and Clayet al.), the more recent FOM (Faure‐Ol'shevskii‐Middleton) theory, and the strong‐or multiple‐scatter interactions (Tatarskiiet al.) which can occur in atmospheres and oceans. Random moving media and random interfaces are readily included, as are varieties of different media characteristics, such as radiative and relaxation absorption, random indices of refraction, internal waves, diffusion, etc. Exact (feedback) operational solutions (FOS), where concepts of modern control theory extended to four‐dimensional feedback networks are indicated, are here introduced, along with the detailed statistics of the interactive elements in the equivalent FOR (feedback operational representation) and Feynman diagrams and various explicit approximations. The new approach, using generalized random point processes, provides also an anatomy of the scattering elements and their interactions. The general results are illustrated in detail by an explicit calculation of the general covariance of the random moving ocean surface. An example of strong volume interactions is also included. [Work supported by the Office of Naval Research Code 222.]

 

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