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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+ 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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QJE-$ : 7lj-Z~1 Preface
GB+d0 S4 1 Elements of probability theory
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D8 #q.OR] 1.2 Properties of probabilities
=!c+|X` 1.2.1 Joint probabilities
7cy~qg 1.2.2 Conditional probabilities
RQ'c~D)X 1.2.3 Bayes'theorem on inverse probabilities
<Ztda ! 1.3 Random variables and probability distributions
.5ycO 1.3.1 Transformations ofvariates
DvKM>P%| 1.3.2 Expectations and moments
*Fc&DQT( 1.3.3 Chebyshev inequality
k:qou})#4 1.4 Generating functions
).S<{zm7 1.4.1 Moment generating function
w+Z};C 1.4.2 Characteristic function
UKBMGzu2: 1.4.3 Cumulants
WuQYEbap 1.5 Some examples of probability distributions
lG+ltCc$9 1.5.1 Bernoulli or binomial distributiou
5q#|sVT7R 1.5.2 Poisson distribution
? 7EVmF 1.5.3 Bose-Einstein distribution
;E"mB4/) 1.5.4 The weak law of large numbers
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T> 'Vaxo 2 Random processes
IjRmpVcwN 3 Some useful mathematical techniques
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