Elementary Wave Optics

This undergraduate textbook presents thorough coverage of the standard topics of classical optics and optical instrument design; it also offers significant details regarding the concepts of modern optics. Two sets of problems appear at the end of each chapter, some featuring detailed solutions. 252 figures. 1969 edition.

Preface

xi

Geometrical optics: summary

Exercises

8

(1)

Problems

8

(8)

Waves: description

Physical description

16

(2)

Mathematical description

18

(3)

Sine wave

21

(4)

Momentum and energy

25

(6)

Exercises

28

(1)

Problems

29

(2)

Superposition: reflection, standing waves, group velocity

Superposition

31

(1)

Reflection

32

(3)

Standing waves

35

(2)

Phasors

37

(2)

Harmonics

39

(1)

Beats

40

(1)

Group velocity

41

(7)

Exercises

44

(1)

Problems

45

(3)

Electromagnetic waves, energy and momentum, doppler effect

Electromagnetic waves

48

(2)

Energy

50

(1)

Momentum

50

(3)

Photons

53

(1)

Doppler effect

54

(6)

Exercises

57

(1)

Problems

57

(3)

Scattering: index of refraction

Scattering

60

(1)

Refraction

61

(1)

Index of refraction

62

(4)

Birefringence

66

(2)

Dichroism

68

(3)

Exercises

68

(1)

Problems

69

(2)

Polarized light

Linear and circular polarization

71

(3)

Production and analysis of linearly polarized light

74

(2)

Wave plates

76

(3)

Colors

79

(1)

Circularly polarized light

79

(1)

Angular momentum of light

80

(3)

Other polarizing interactions

83

(8)

Exercises

87

(1)

Problems

87

(4)

Interference

Two identical sources---in line

91

(3)

Two identical sources---off axis

94

(2)

Average over detection time

96

(4)

Coherence

100

(2)

Huygens' principle

102

(3)

Exercises

102

(1)

Problems

103

(2)

Interference from two sources

Identical sources

105

(3)

Sources differing in phase

108

(1)

Paths differing in index

108

(1)

Sources differing in frequency

109

(1)

White light

109

(1)

Phasors

110

(7)

Exercises

111

(1)

Problems

112

(5)

Interference from many sources

Three slits

117

(3)

Grating

120

(1)

Line width

121

(1)

Grating equation

122

(1)

Wavelength resolution

123

(2)

Broadening

125

(5)

Exercises

126

(1)

Problems

127

(3)

Multiple images: interference of light from an extended source

Amplitude separation

130

(2)

Michelson interferometer

132

(2)

Fabry-Perot interferometer

134

(1)

Wedge

135

(1)

Transmitted light

136

(1)

Phase change on reflection

137

(1)

Wavelength dependence

138

(5)

Exercises

139

(1)

Problems

140

(3)

Diffraction

Single slit

143

(2)

Diffraction-limited optics

145

(1)

Resolution

146

(3)

Babinet's principle

149

(1)

I(β)---single slit

150

(6)

Exercises

152

(1)

Problems

153

(3)

Modern optics

Fourier transforms as diffraction patterns

156

(2)

Image retrieval

158

(2)

Holography---recovery of phase information

160

(2)

Holography---``gratings'' approach

162

(4)

Problems

165

(1)

Appendixes

A Miscellaneous mathematical notes

166

(3)

B Derivation of the wave equation

169

(6)

C Strings

175

(5)

D Summary on electricity and magnetism---derivation of electromagnetic wave equation

180

(6)

E Resonance

186

(4)

F Index of refraction---macroscopic approach

190

(2)

G Fresnel diffraction

192

(4)

H Fourier transforms

196

(7)

Bibliography

203

(4)

Solutions to selected problems

207

(56)

Index

263

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Elementary Wave Optics

Summary

Table of Contents

Supplemental Materials