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Bivectors and Waves in Mechanics and Optics

By: M.A. Hayes, P. Boulanger

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Hardcover | 1 August 1993 | Edition Number 1

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Hardcover
296 Pages

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21.6 x 13.8 x 1.91

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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.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Optical Physics Engineering & Technology Other Technologies & Applied Sciences Applied Optics Mechanical Engineering & Materials

Mechanical Engineering

Preface
The ellipse	p. 1
Bivectors	p. 16
Complex symmetric matrices	p. 41
Complex orthogonal matrices and complex skew-symmetric matrices	p. 64
Ellipsoids	p. 83
Homogeneous and inhomogeneous plane waves	p. 110
Description of elliptical polarization	p. 129
Energy flux	p. 155
Electromagnetic plane waves	p. 167
Plane waves in linearized elasticity theory	p. 191
Plane waves in viscous fluids	p. 218
Appendix. Spherical trigonometry	p. 231
Answers to exercises	p. 235
Bibliography	p. 271
Index	p. 275
Table of Contents provided by Blackwell. All Rights Reserved.

Bivectors and Waves in Mechanics and Optics

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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