文档介绍：A Radically Modern Approach to
Introductory Physics — Volume 1
David J. Raymond
Physics Department
New Mexico Tech
Socorro, NM 87801
July 2, 2008
ii
Copyright
c 1998, 2000, 2001, 2003, 2004,
2006 David J. Raymond
Permission is granted to copy, distribute and/or modify this document under
the terms of the GNU Free Documentation License, Version or any later
version published by the Free Software Foundation; with no Invariant Sec-
tions, no Front-Cover Texts and no Back-Cover Texts. A copy of the license
is included in the section entitled ”GNU Free Documentation License”.
Contents
Preface to April 2006 Edition ix
1 Waves in One Dimension 1
Transverse and Longitudinal Waves . . . . . . . . . . . . . . . 1
Sine Waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Types of Waves . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Ocean Surface Waves . . . . . . . . . . . . . . . . . . . 4
Sound Waves . . . . . . . . . . . . . . . . . . . . . . . 6
Light . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Superposition Principle . . . . . . . . . . . . . . . . . . . . . . 7
Beats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Interferometers . . . . . . . . . . . . . . . . . . . . . . . . . . 14
The Michelson Interferometer . . . . . . . . . . . . . . 14
Thin Films . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Math Tutorial — Derivatives . . . . . . . . . . . . . . . . . . . 17
Group Velocity . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Derivation of Group Velocity Formula . . . . . . . . . . 19
Examples . . . . . . . . . . . . . . . . . . . . . . . . . 20
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
2 Waves in Two and Three Dimensions 29
Math Tutorial — Vectors . . . . . . . . . . . . . . . . . . . . . 29
Plane Waves . . . . . . . . .