Bivectors and Waves in Mechanics and Optics

Author:   P. Boulanger (University of Brussels) ,  M.A. Hayes (University College of Dublin)
Publisher:   Taylor & Francis Ltd
Volume:   4
ISBN:  

9780412464607


Pages:   296
Publication Date:   01 August 1993
Format:   Hardback
Availability:   In Print   Availability explained
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Bivectors and Waves in Mechanics and Optics


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Overview

Bivectors occur naturally in the description of elliptically polarized homogeneous and inhomogeneous plane waves. The description of a homogeneous plane wave generally involves a vector (the unit vector along the propagation direction) and a bivbector (the complex amplitude of the wave). Inhomogeneous plane waves are described in terms of two bivectors - the complex amplitude and the complex slowness. The use of bivectors and their associated ellipses is essential for the presentation of the 'directional ellipse' method given in this book, in deriving all possible inhomogeneous plane wave solutions in a given context. The purpose of this book is to give an extensive treatment of the properties of bivectors and to show how these may be applied to the theory of homogeneous and inhomogeneous plane waves. For each chapter there are exercises with answers, many of which present further useful properties which are referred to afterwards. The material in this book is suitable for senior undergraduate and first year graduate students. It will also prove useful for researchers interested in homogeneous and inhomogeneous plane waves.

Full Product Details

Author:   P. Boulanger (University of Brussels) ,  M.A. Hayes (University College of Dublin)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Volume:   4
Dimensions:   Width: 13.80cm , Height: 2.00cm , Length: 21.60cm
Weight:   0.430kg
ISBN:  

9780412464607


ISBN 10:   0412464608
Pages:   296
Publication Date:   01 August 1993
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface 1 The ellipse 2 Bivectors 3 Complex symmetric matrices 4 Complex orthogonal matrices and complex skew-symmetric matrices 5 Ellipsoids 6 Homogeneous and inhomogeneous plane waves 7 Description of elliptical polarization 8 Energy flux 9 Electromagnetic plane waves 10 Plane waves in linearized elasticity theory 11 Plane waves in viscous fluids

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Author Information

Ph. Boulanger, Department de Mathematique, Universite Libre de Bruxelles, Belgium. M.A. Hayes, Mathematical Physics Department, University College Dublin, Ireland.

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