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By P. Hariharan, School of Physics, University of Sydney, Sydney, Australia
Description When the first edition of "Optical Interferometry" was published, interferometry was regarded as a rather esoteric method of making measurements,
largely confined to the laboratory. Today, however, besides its use in several fields of research, it has applications in fields as diverse
as measurement of length and velocity, sensors for rotation, acceleration, vibration and electrical and magnetic fields, as well as in
microscopy and nanotechnology.
Most topics are discussed first at a level accessible to anyone with a basic knowledge of physical
optics, then a more detailed treatment of the topic is undertaken, and finally each topic is supplemented by a reference list of more
than 1000 selected original publications in total.
Audience
The primary market for the book would be scientists and engineers interested in precision measurements of a range of physical quantities
in industry as well as researchers and students in universities.
A secondary market would be members of organizations such as the Optical
Society of America, SPIE and IEEE who are interested in possible applications in their work.
Contents Chapter 1
Optical interferometry: its development
1.1 The wave theory of light
1.2 Michelson"s experiment
1.3 Measurement of the metre
1.4 Coherence
1.5 Interference filters
1.6 Interference spectroscopy
1.7 The development of the laser
1.8 Electronic techniques
1.9 Heterodyne
techniques
1.10 Holographic interferometry
1.11 Speckle interferrometry
1.12 Stellar interferometry
1.13 Relativity and gravitational
waves
1.14 Fiber interferometers
1.15 Nonlinear interferometers
1.16 Quantum effects
1.17 Future directions
Chapter 2
Two-beam interference
2.1 Complex representation of light waves
2.2 Interference of two monochromatic waves
2.3 Wavefront division
2.4 Amplitude division
2.4.1Interference in a plane-parallel plate
2.4.2Fizeau fringes
2.4.3Interference in a thin film
2.5 Localization of fringes
2.5.1Nonlocalized
fringes
2.5.2Localized fringes
2.5.3Fringes in a plane-parallel plate
2.5.4Fringes in a thin film
2.6 Two-beam interferometers
2.7 The
Michelson interferometer
2.7.1Nonlocalized fringes
2.7.2Fringes of equal inclination
2.7.3Fringes of equal thickness
2.8 The Mach-Zehnder
interferometer
2.9 The Sagnac interferometer
2.10 Interference with white light
2.11Channeled spectra
2.12 Achromatic fringes
2.13 Interferential
color photography
Chapter 3
Coherence
3.1 Quasi-monochromatic light
3.2 Waves and wave groups
3.3 Phase velocity and group velocity
3.4 The mutual coherence function
3.5 Spatial coherence
3.6 Temporal coherence
3.7 Coherence time and coherence length
3.8 Combined spatial
and temporal effects
3.9 Application to a two-beam interferometer
3.10 Source-size effects
3.11 Spectral bandwidth effects
3.12 Spectral
coherence
3.13 Polarization effects
Chapter 4
Multiple-beam interference
4.1 Fringes in a plane-parallel plate
4.2 Fringes by reflection
4.3 Fringes in a thin film: fringes of equal thickness
4.4 Fringes of equal chromatic order
4.5 Fringes of superposition
4.6 Three-beam
fringes
4.7 Double-passed fringes
Chapter 5
The laser as a light source
5.1 Gas lasers
5.2 Laser modes
5.2.1Modes of a confocal
resonator
5.2.2Generalized spherical resonator
5.2.3Longitudinal modes
5.2.4Single-frequency operation
5.3 Comparison of laser frequencies
5.4 Frequency stabilization
5.4.1Polarization stabilized laser
5.4.2Stabilized transverse Zeeman laser
5.4.3Stabilization on the Lamb
dip
5.4.4Stabilization by saturated absorption
5.4.5Stabilization by saturated fluorescence
5.5 Semiconductor lasers
5.6 Ruby and Nd:YAG
lasers
5.7 Dye lasers
5.8 Laser beams
Chapter 6
Electronic techniques
6.1 Photoelectric setting methods
6.2 Fringe counting
6.3
Heterodyne interferometry
6.4 Computer-aided fringe analysis
6.4.1Fourier transform techniques
6.5 Phase-shifting interferometry
6.5.1Error-correcting
algorithms
6.6 Techniques of phase shifting
6.6.1Frequency shifting
6.6.2Polarization techniques
Chapter 7
Measurements of length
7.1 Line standards
7.2 End standards
7.3 The integral interference order
7.4 Exact fractions
7.5 The refractive index of air
7.6
The international prototype metre
7.7 The 86Kr standard
7.8 Frequency measurements
7.9 The definition of the metre
7.10 Length measurements
with lasers
7.10.1Two-wavelength interferometry
7.10.2Frequency-modulation interferometry
7.11 Changes in length
Chapter 8
Optical testing
8.1 The Fizeau interferometer
8.2 The Twyman-Green interferometer
8.3 Unequal-path interferometers
8.4 Phase unwrapping
8.5 Analysis
of wavefront aberrations
8.5.1Zernike polynomials
8.5.2Wavefront fitting
8.6 Shearing interferometers
8.6.1Lateral shearing interferometers
8.6.2Interpretation of interferograms
8.6.3Rotational and radial shearing
8.7 Grating interferometers
8.8 The scatter-plate interferometer
8.9 The point-diffraction interferometer
8.10 Computerized test methods
8.10.1Absolute tests for flatness
8.10.2Small-scale irregularities
8.10.3Sources of error
8.10.4Subaperture testing
8.10.5Testing aspheric surfaces
8.10.6Computer-generated holograms
8.11 Testing of rough
surfaces
8.12 The optical transfer function
Chapter 9
Interference microscopy
9.1 The Mirau interferometer
9.2 Common-path interference
microscopes
9.3 Polarization interferometers
9.3.1Lateral shear
9.3.2Radial shear
9.4 The Nomarski interferometer
9.5 Electronic phase
measurements
9.5.1Phase-shifting techniques
9.6 Surface profiling with white light
9.6.1Achromatic phase-shifting
9.6.2Spectrally resolved
interferometry
Chapter 10
Interferometric sensors
10.1 Rotation sensing
10.1.1Ring lasers
10.1.2Ring interferometers
10.2 Laser-feedback
interferometers
10.2.1Diode-laser interferometers
10.3 Fiber interferometers
10.4 Multiplexed fiber-optic sensors
10.5 Doppler interferometry
10.5.1Laser-Doppler velocimetry
10.5.2Measurements of surface velocities
10.6 Vibration measurements
10.7 Magnetic fields
10.8 Adaptive
optical systems
Chapter 11
Interference spectroscopy
11.1 Etendue of an interferometer
11.2 The Fabry-Perot interferometer
11.3
The scanning Fabry-Perot interferometer
11.4 The spherical-mirror Fabry-Perot interferometer
11.5 The multiple Fabry-Perot interferometer
11.6 The multiple-pass Fabry-Perot interferometer
11.7 Holographic filters
11.8 Birefringent filters
11.9 Wavelength meters
11.9.1Dynamic
wavelength meters
11.9.2Static wavelength meters
11.10 Heterodyne techniques
11.11 Measurements of laser linewidths
Chapter 12
Fourier-transform
spectroscopy
12.1 The etendue and multiplex advantages
12.2 Theory
12.3 Resolution and apodization
12.4 Sampling
12.5 Effect
of source and detector size
12.6 Field widening
12.7 Phase correction
12.8 Noise
12.9 Pre-filtering
12.10 Interferometers for Fourier-transform
spectroscopy
12.11 Computation of the spectrum
12.12 Applications
Chapter 13
Nonlinear interferometers
13.1 Interferometry with
pulsed lasers
13.2 Second-harmonic interferometers
13.2.1Critical phase matching
13.3 Phase-conjugate interferometers
13.3.1Phase-conjugating
mirrors
13.4 Interferometers using active elements
13.5 Photorefractive oscillators
13.6 Measurements of nonlinear susceptibilities
Chapter 14
Stellar interferometry
14.1 Michelson"s stellar interferometer
14.2 The intensity interferometer
14.3 Heterodyne stellar
interferometry
14.3.1Large heterodyne interferometer
14.4 Long-baseline interferometers
14.5 Stellar speckle interferometry
14.6 Telescope
arrays
Chapter 15
Space-time and gravitation
15.1 The Michelson-Morley experiment
15.2 Gravitational waves
15.3 Gravitational-wave
detectors
15.4 LIGO
15.5 The standard quantum limit
15.6 Squeezed states of light
15.7 Interferometry below the SQL
Chapter 16
Single-photon
interferometry
16.1 Interferometry at the "single-photon" level
16.2 Interference - the quantum picture
16.3 Sources of nonclassical
light
16.3.1Parametric down-conversion
16.4 The beam splitter
16.5 Interference with single-photon states
16.6 The geometric phase
16.6.1Observations
at the "single-photon" level
16.6.2Observations with single-photon states
16.7 Interference with independent sources
16.7.1Observations
at the "single-photon" level
16.7.2Observations in the time domain
16.8 Superposition states
Chapter 17
Fourth-order interference
17.1 Nonclassical fourth-order interference
17.2 Interference in separated interferometers
17.3 The geometric phase
Chapter 18
Two-photon
interferometry
18.1 Interferometric tests of Bell"s inequality
18.2 Tests using unbalanced interferometers
18.3 Two-photon interference
18.4 The quantum eraser
18.5 Single-photon tunneling
18.5.1Dispersion cancellation
18.5.2Measurements of tunneling time
18.6 Conclusions
Appendix A
Two-dimensional linear systems
A.1 The Fourier transform
A.2 Convolution and correlation
A.3 The Dirac delta function
A.4 Random functions
Appendix B
The Fresnel-Kirchhoff integral
Appendix C
Reflection and transmission at a surface
C.1 The
Fresnel transform
C.2 The Stokes relations
Appendix D
The Jones calculus
Appendix E
The geometric phase
E.1 The Poincare
sphere
E.2 The Pancharatnam phase
Appendix F
Holography
F.1 The off-axis hologram
F.2 Volume holograms
F.3 Computer-generated
holograms
Appendix G
Speckle
G.1 Speckle statistics
G.2 Second-order statistics
G.3 Image speckle
G.4 Young"s fringes
G.5 Addition
of speckle patterns
Bibliography
References
Author index
Subject index
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