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    Wavefronts and Rays As Characteristics and Asymptotics

    Access Status
    Fulltext not available
    Authors
    Bóna, Andrej
    Slawinski, M.
    Date
    2011
    Type
    Book
    
    Metadata
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    Citation
    Bóna, Andrej and Slawinski, Michael A. 2011. Wavefronts and Rays As Characteristics and Asymptotics. Singapore: World Scientific.
    DOI
    10.1142/9456
    ISBN
    9789814295512
    School
    Department of Exploration Geophysics
    URI
    http://hdl.handle.net/20.500.11937/15098
    Collection
    • Curtin Research Publications
    Abstract

    This textbook - incorporated with many illuminating examples and exercises - is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors’ emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation - by a pure mathematician’s standards - is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and phenomena such as caustics.

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