Oscillations and waves: an introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
CRC Press
2013
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | VIII, 287 S. zahlr. graph. Darst. |
| ISBN: | 9781466566088 |
Staff View
MARC
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| 245 | 1 | 0 | |a Oscillations and waves |b an introduction |c Richard Fitzpatrick |
| 264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 2013 | |
| 300 | |a VIII, 287 S. |b zahlr. graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Wave-motion, Theory of | |
| 650 | 4 | |a Oscillations | |
| 650 | 7 | |a SCIENCE / Physics |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Solid State Physics |2 bisacsh | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING / Mechanical |2 bisacsh | |
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Record in the Search Index
| _version_ | 1804151360672759808 |
|---|---|
| adam_text | Contents
Preface
vii
1
Simple Harmonic Oscillation
1
1.1
Mass on a Spring
.......................... 1
1.2
Simple Harmonic Oscillator Equation
............... 5
1.3
LC Circuits
............................. 8
1.4
Simple
Pendula
...........................
П
1.5
Compound
Pendula
......................... 12
Exercises
.............................. 14
2
Damped and Driven Harmonic Oscillation
17
2.1
Damped Harmonic Oscillation
................... 17
2.2
Quality Factor
........................... 20
2.3
LCR Circuits
............................ 21
2.4
Driven Damped Harmonic Oscillation
............... 23
2.5
Driven LCR Circuits
........................ 27
2.6
Transient Oscillator Response
................... 29
Exercises
..............................
Coupled Oscillations
3.1
Two Spring-Coupled Masses
....................
3.2
Two Coupled LC Circuits
..................... 39
3.3
Three Spring-Coupled Masses
................... 42
Exercises
.............................. 44
Transverse Standing Waves
47
4.1
Normal Modes of a Beaded String
................. 47
4.2
Normal Modes of a Uniform String
................ 54
4.3
General Time Evolution ofa Uniform String
........... 60
Exercises
..............................
^
Longitudinal Standing Waves
69
5.1
Spring-Coupled Masses
......................
69
5.2
Longitudinal Waves on a Thin Elastic Rod
............. 73
5.3
Sound Waves in an Ideal Gas
.................... 77
5.4
Fourier Analysis
.......................... 81
Exercises
..............................
®
iii
iv Contents
6
Traveling Waves
89
6.1
Standing Waves in a Finite Continuous Medium
.......... 89
6.2
Traveling Waves in an Infinite Continuous Medium
........ 90
6.3
Wave Interference
......................... 93
6.4
Energy Conservation
........................ 94
6.5
Transmission Lines
......................... 97
6.6
Normal Reflection and Transmission at Interfaces
......... 101
6.7
Electromagnetic Waves
....................... 107
6.8
Doppler
Effect
........................... 112
6.9
Wave Propagation in Inhomogeneous Media
........... 114
Exercises
.............................. 115
7
Multi-Dimensional Waves
119
7.1
Plane Waves
............................ 119
7.2
Three-Dimensional Wave Equation
................ 120
7.3
Cylindrical Waves
......................... 121
7.4
Spherical Waves
.......................... 122
7.5
Oscillation of an Elastic Sheet
................... 123
7.6
Polarization of Electromagnetic Waves
.............. 127
7.7
Laws of Geometric Optics
..................... 128
7.8
Fresnel Relations
.......................... 130
7.9
Total Internal Reflection
...................... 136
7.10
Sound Waves in Fluids
....................... 141
Exercises
.............................. 145
8
Wave Pulses
149
8.1
Fourier Transforms
......................... 149
8.2
General Solution of ID Wave Equation
.............. 154
8.3
Bandwidth
............................. 158
Exercises
.............................. 163
Dispersive Waves
9.1
Pulse Propagation
..........................
9.2
Electromagnetic Waves in Unmagnetized Plasmas
........
I70
9.3
Faraday Rotation
.......................... 176
9.4
Electromagnetic Wave Propagation in Conductors
......... 181
9.5
Waveguides
............................. 184
9.6
Pulse Propagation in Two Dimensions
............... 186
9.7
Gravity Waves
........................... 189
9.8
Wave Drag on Ships
........................ 194
9.9
Ship Wakes
............................. 197
9.10
Capillary Waves
.......................... 202
Exercises
........ . .............. 204
Contents
v
10
Wave Optics
209
10.1
Introduction
............................. 209
10.2
Two-Slit Interference
........................ 209
103
Coherence
............................. 217
10.4
Multi-Slit Interference
....................... 222
10.5
Thin Film Interference
....................... 226
10.6
One-Dimensional Fourier Optics
.................. 227
10.7
Single-Slit Diffraction
....................... 228
10.8
Multi-Slit Diffraction
........................ 231
10.9
Tvvo-Dimensional Fourier Optics
.................. 233
Exercises
.............................. 239
11
Wave Mechanics
241
.1
Introduction
............................. 241
.2
Photoelectric Effect
......................... 242
.3
Electron Diffraction
........................ 243
.4
Representation of Waves via Complex Numbers
.......... 244
.5
Schrodinger s Equation
....................... 246
.6
Probability Interpretation of Wavefunction
............ 248
.7
Wave Packets
............................ 250
.8 Heisenberg
s
Uncertainty Principle
................ 253
.9
Wavefunction Collapse
....................... 254
.10
Stationary States
.......................... 256
.11
Three-Dimensional Wave Mechanics
............... 259
.12
Particle in Finite Square Potential Well
.............. 261
.13
Square Potential Barrier
...................... 265
Exercises
.............................. 267
A Physical Constants
269
В
Useful Mathematics
271
B.I Calculus
.............................. 271
B.2 Series Expansions
......................... 272
B.3 Trigonometric Identities
...................... 273
С
Electromagnetic Theory
277
Bibliography
281
Index
283
Physics
Oscillations and Waves
An Introduction
...
an excellent addition to the existing literature on the subject. The book
provides a clear, systematic, comprehensive and yet concise treatment of
the subject. The emphasis is placed on physical interpretation rather than
mathematical ngour, although the author certainly presents the material at
the right mathematical level commensurate with an advanced undergraduate
course. The book will be equally useful for physics and engineering students,
as well as mathematics students who want to get physical insight beyond the
mathematical equations. The book benefits from very useful exercises which
are accompanied by a solutions manual. As a physics educator, I would
recommend this book without reservation to both lecturers as excellent teaching
material and to students as a learning resource which will guide them through
the exerting worid of waves, oscillations and patterns that are all around us.
-David Tsiklauri. Queen Mary University of London
Bridging lower-division physics survey courses with upper-division
phystcs courses. Oscillations and Waves: An Introduction develops
a unified mathematical theory of oscillations and waves in physical
systems. ThfS classroom-tested text helps readers acquire a sound
phystcal understanding of wave phenomena. Emphasizing physics over
mathematics, the author includes many examples from discrete mechanical,
optical, and quantum mechanical systems; continuous gases, fluids, and
elastic solids; electronic circuits; and electromagnetic waves.
Cower tmage courtesy of Leo Lazauskas,
Су
benad.net
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CRC Press
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2
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WWW.
|
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| spelling | Fitzpatrick, Richard 1963- Verfasser (DE-588)1044738073 aut Oscillations and waves an introduction Richard Fitzpatrick Boca Raton, Fla. [u.a.] CRC Press 2013 VIII, 287 S. zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Wave-motion, Theory of Oscillations SCIENCE / Physics bisacsh SCIENCE / Solid State Physics bisacsh TECHNOLOGY & ENGINEERING / Mechanical bisacsh Welle (DE-588)4065310-9 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Welle (DE-588)4065310-9 s Schwingung (DE-588)4053999-4 s 1\p DE-604 DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026743540&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026743540&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fitzpatrick, Richard 1963- Oscillations and waves an introduction Wave-motion, Theory of Oscillations SCIENCE / Physics bisacsh SCIENCE / Solid State Physics bisacsh TECHNOLOGY & ENGINEERING / Mechanical bisacsh Welle (DE-588)4065310-9 gnd Schwingung (DE-588)4053999-4 gnd |
| subject_GND | (DE-588)4065310-9 (DE-588)4053999-4 (DE-588)4123623-3 |
| title | Oscillations and waves an introduction |
| title_auth | Oscillations and waves an introduction |
| title_exact_search | Oscillations and waves an introduction |
| title_full | Oscillations and waves an introduction Richard Fitzpatrick |
| title_fullStr | Oscillations and waves an introduction Richard Fitzpatrick |
| title_full_unstemmed | Oscillations and waves an introduction Richard Fitzpatrick |
| title_short | Oscillations and waves |
| title_sort | oscillations and waves an introduction |
| title_sub | an introduction |
| topic | Wave-motion, Theory of Oscillations SCIENCE / Physics bisacsh SCIENCE / Solid State Physics bisacsh TECHNOLOGY & ENGINEERING / Mechanical bisacsh Welle (DE-588)4065310-9 gnd Schwingung (DE-588)4053999-4 gnd |
| topic_facet | Wave-motion, Theory of Oscillations SCIENCE / Physics SCIENCE / Solid State Physics TECHNOLOGY & ENGINEERING / Mechanical Welle Schwingung Lehrbuch |
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