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.
`R8~H7{I6 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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HqOSQ<-Fo .4F(Y_c Preface
^F`FB..:y 1 Elements of probability theory
I_#)>%H 1.1 Definitions
#>~$`Sg 1.2 Properties of probabilities
7z=Ss'O] 1.2.1 Joint probabilities
pWps-e 1.2.2 Conditional probabilities
% 9BC%w]y 1.2.3 Bayes'theorem on inverse probabilities
5.VA1 1.3 Random variables and probability distributions
1WcT>_$ 1.3.1 Transformations ofvariates
Dw[w%uz 1.3.2 Expectations and moments
`"(7)T{ 1.3.3 Chebyshev inequality
l},px 1.4 Generating functions
LiQs;$V 1.4.1 Moment generating function
]$nJn+85@b 1.4.2 Characteristic function
yQ+#Tlji 1.4.3 Cumulants
`iIYZ3i 1.5 Some examples of probability distributions
I U4[}x 1.5.1 Bernoulli or binomial distributiou
;=)CjC8) 1.5.2 Poisson distribution
Rl3KE)< 1.5.3 Bose-Einstein distribution
%DPtK)X1 1.5.4 The weak law of large numbers
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r-Z' 2 Random processes
7\a(Imq 3 Some useful mathematical techniques
o?p) V^7 4 Second-order Coherence theory of scalar wavefields
0<v~J9i 5 Radiation form sources of any state of coherence
)CdglPK 7 Some applications of second-order coherence theory
7GK| A{r 8 Higher-order correlations in optical fields
"VcGr#zW 9 Semiclassical theory of photoelectric detection of light
rIge6A>I 10 Quantization of the free electromagnetic field
,=o q)Fm] 11 Coherent states of the electromagnetic field
\~y>aYy 12 Quantum correlations and photon statistics
>PySd"u 13 Radiation from thermal equilibrium sources
$!obpZ~ } 14 Quantum theory of photoelectric detection of light
j*QY_Ny* 15 Interaction between light and a two-level atom
,=6Eju#P 16 Collective atomic interactions
Fl*@@jQ8cV 17 Some general techniques for treating interacting systems
[(btpWxb^ 18 The single-mode laser
Jz%&-e3 19 The two-mode ring laser
7Zu!s]t 20 Squeezed states of light
#0xvxg%{ 22 Some quantum effects in nonlinear optics
8%`Sx[ References
CF42KNq Author index
XJ@ /r,2 Subject index
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