Prior to the development of the first lasers in the 1960s, optical coherence was not a subject with which many scientists had much acquaintance, even though early contributions to the field were made by several distinguished physicists, including Max you Lane, Erwin Schrodinger and Frits Zernike. However, the situation changed once it was realized that the remarkable properties of laser light depended on its coherence. An earlier development that also triggered interest in optical coherence was a series of important experiments by Hanbury Brown and Twiss in teh 1950s,showing that, correlations between the fluctuations of mutually coherent beams of thermal light could be measured by photoelectric correlation and two-photon coincidence counting experiments. The interpretation of these experiments was, however, surrounded by controversy, which emphasized the need for understanding the coherence properties of light and their effect on the interaction between light and matter.
}2i3 Prior to the development of the first lasers in the 1960s, optical coherence was not a subject with which many scientists had much acquaintance, even though early contributions to the field were made by several distinguished physicists, including Max you Lane, Erwin Schrodinger and Frits Zernike. However, the situation changed once it was realized that the remarkable properties of laser light depended on its coherence. An earlier development that also triggered interest in optical coherence was a series of important experiments by Hanbury Brown and Twiss in teh 1950s,showing that, correlations between the fluctuations of mutually coherent beams of thermal light could be measured by photoelectric correlation and two-photon coincidence counting experiments. The interpretation of these experiments was, however, surrounded by controversy, which emphasized the need for understanding the coherence properties of light and their effect on the interaction between light and matter.
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UB&)U\hn Y/aNrIK7 Preface
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dU 1 Elements of probability theory
Ls~F4ar$/ 1.1 Definitions
Gkq<?q({t 1.2 Properties of probabilities
]&kzIxh 1.2.1 Joint probabilities
Vg^@6zU 1.2.2 Conditional probabilities
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- 1.2.3 Bayes'theorem on inverse probabilities
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I 1.3 Random variables and probability distributions
kH10z~(e 1.3.1 Transformations ofvariates
\%ZF<sVW 1.3.2 Expectations and moments
KN"V(<!)~ 1.3.3 Chebyshev inequality
<^,5z!z} 1.4 Generating functions
?a]uyw, 1.4.1 Moment generating function
'G-zJcU 1.4.2 Characteristic function
R9B !F{! 5 1.4.3 Cumulants
E*_lT`Hzf 1.5 Some examples of probability distributions
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1.5.1 Bernoulli or binomial distributiou
qp@:Zqz8 1.5.2 Poisson distribution
L8zY?v(bG 1.5.3 Bose-Einstein distribution
]/y&5X 1.5.4 The weak law of large numbers
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1*!`G5c,} 2 Random processes
Uhz<B #tj 3 Some useful mathematical techniques
E'J| p7 4 Second-order Coherence theory of scalar wavefields
`1$7. ydQ 5 Radiation form sources of any state of coherence
Wi?37EHr 7 Some applications of second-order coherence theory
utz!ElzA 8 Higher-order correlations in optical fields
!pNY`sw} 9 Semiclassical theory of photoelectric detection of light
'nFqq:2Xa 10 Quantization of the free electromagnetic field
f/:XIG 11 Coherent states of the electromagnetic field
2nFSu9}+r 12 Quantum correlations and photon statistics
9V%s1@K 13 Radiation from thermal equilibrium sources
j+c<0,Kj 14 Quantum theory of photoelectric detection of light
`Al5(0Q 15 Interaction between light and a two-level atom
z$d/Vz,a 16 Collective atomic interactions
}"'^.FG^_ 17 Some general techniques for treating interacting systems
N}*|*!6hI 18 The single-mode laser
27t23@{YL 19 The two-mode ring laser
Rj|8lK;, 20 Squeezed states of light
6BJPQdqSl 22 Some quantum effects in nonlinear optics
fdD?"z References
]B<Hrnn Author index
:(|;J<R%_ Subject index
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