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.
X <f8,n 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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Preface
(?n=33}Ci 1 Elements of probability theory
+ieY:H[ 1.1 Definitions
xN5) 1.2 Properties of probabilities
*=8JIs A>! 1.2.1 Joint probabilities
u_@f$ 1.2.2 Conditional probabilities
CDsSrKhx 1.2.3 Bayes'theorem on inverse probabilities
J"!vu.[ 1.3 Random variables and probability distributions
")SFi^] 1.3.1 Transformations ofvariates
m8A#~i . 1.3.2 Expectations and moments
94h]~GqNi 1.3.3 Chebyshev inequality
-.1y(k^4E 1.4 Generating functions
gwLf ' 1.4.1 Moment generating function
kjIAep0rT 1.4.2 Characteristic function
i6^twK)j 1.4.3 Cumulants
( /=f6^} 1.5 Some examples of probability distributions
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9( x 1.5.1 Bernoulli or binomial distributiou
/KFfU1 1.5.2 Poisson distribution
nEJq_ 1.5.3 Bose-Einstein distribution
V3&RJ k=b 1.5.4 The weak law of large numbers
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Z?=AXu 2 Random processes
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