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Bivectors and Waves in Mechanics and Optics : Applied Mathematics - Philippe Boulanger

Bivectors and Waves in Mechanics and Optics

Applied Mathematics

Hardcover Published: 1st August 1993
ISBN: 9780412464607
Number Of Pages: 295

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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.

Preface
The ellipsep. 1
Bivectorsp. 16
Complex symmetric matricesp. 41
Complex orthogonal matrices and complex skew-symmetric matricesp. 64
Ellipsoidsp. 83
Homogeneous and inhomogeneous plane wavesp. 110
Description of elliptical polarizationp. 129
Energy fluxp. 155
Electromagnetic plane wavesp. 167
Plane waves in linearized elasticity theoryp. 191
Plane waves in viscous fluidsp. 218
Appendix. Spherical trigonometryp. 231
Answers to exercisesp. 235
Bibliographyp. 271
Indexp. 275
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780412464607
ISBN-10: 0412464608
Series: Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 295
Published: 1st August 1993
Publisher: SPRINGER VERLAG GMBH
Country of Publication: GB
Dimensions (cm): 21.69 x 17.02  x 2.11
Weight (kg): 0.43
Edition Number: 1

Earn 428 Qantas Points
on this Book