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.
?q+8 /2 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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@c=Bt$ .F{}~K] Preface
/ig^7+# 1 Elements of probability theory
},?-$eyX 1.1 Definitions
WyKUvVi 1.2 Properties of probabilities
{jj]K.& 1.2.1 Joint probabilities
\#h})` 1.2.2 Conditional probabilities
31
KDeFg 1.2.3 Bayes'theorem on inverse probabilities
Mqrt-VPh 1.3 Random variables and probability distributions
fJSV)\e0 1.3.1 Transformations ofvariates
o+)m}'T8 1.3.2 Expectations and moments
B`'}&6jr. 1.3.3 Chebyshev inequality
;j[q?^ b 1.4 Generating functions
mSVX4XW< 1.4.1 Moment generating function
|q1b8A \ 1.4.2 Characteristic function
<MI$Nl 1.4.3 Cumulants
20SF<V 1.5 Some examples of probability distributions
"6|'&6& 1.5.1 Bernoulli or binomial distributiou
~FK+bF?% 1.5.2 Poisson distribution
mvW^P`nB 1.5.3 Bose-Einstein distribution
DYy@t^sC 1.5.4 The weak law of large numbers
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I(iGs I 2 Random processes
];YglHH 3 Some useful mathematical techniques
vZ1D3ytfG 4 Second-order Coherence theory of scalar wavefields
QjW~6Z.tI 5 Radiation form sources of any state of coherence
VfJX<e=k 7 Some applications of second-order coherence theory
;DT"S{"7 8 Higher-order correlations in optical fields
ThT.iD[ 9 Semiclassical theory of photoelectric detection of light
Q!BkS=H30K 10 Quantization of the free electromagnetic field
+#i,87 11 Coherent states of the electromagnetic field
P~b%;*m}8 12 Quantum correlations and photon statistics
X:zyzEhS 13 Radiation from thermal equilibrium sources
y$;zTH_6j 14 Quantum theory of photoelectric detection of light
YV2pERl 15 Interaction between light and a two-level atom
qB`0^V 16 Collective atomic interactions
h:US]ZC^Z 17 Some general techniques for treating interacting systems
qZyt>SAx 18 The single-mode laser
I%VV4,I&pK 19 The two-mode ring laser
l1`c?Y 20 Squeezed states of light
Z;dwn~Tw 22 Some quantum effects in nonlinear optics
R[ +]d|L References
52q!zx E Author index
!Cv<>_N). Subject index
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