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.
s0,c4y 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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b*w izd ~/LO @ Preface
Gkci_A* 1 Elements of probability theory
0LX;Vvo 1.1 Definitions
iX4?5yz~< 1.2 Properties of probabilities
h^ wu8E 1.2.1 Joint probabilities
ST'M<G%4E 1.2.2 Conditional probabilities
;]AJ_h(<` 1.2.3 Bayes'theorem on inverse probabilities
e=$p( 1.3 Random variables and probability distributions
]hY'A>4Uq 1.3.1 Transformations ofvariates
l1*qDzb 1.3.2 Expectations and moments
]6)^+(zU 1.3.3 Chebyshev inequality
Gs^hqT;h 1.4 Generating functions
i>Wsc? 1.4.1 Moment generating function
,S(^r1R 1.4.2 Characteristic function
"%$jl0i_c 1.4.3 Cumulants
HD^ Ou5YB 1.5 Some examples of probability distributions
1#LXy%^tO 1.5.1 Bernoulli or binomial distributiou
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1.5.2 Poisson distribution
Q/'jwyj_ 1.5.3 Bose-Einstein distribution
ia#Z$I6 1.5.4 The weak law of large numbers
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98 dl -? 2 Random processes
/'KCW_Q 3 Some useful mathematical techniques
m$b5Vqq 4 Second-order Coherence theory of scalar wavefields
c:QZ(8d]L 5 Radiation form sources of any state of coherence
g\]2?vY. 7 Some applications of second-order coherence theory
-1'O 8 Higher-order correlations in optical fields
>2Z0XEe 9 Semiclassical theory of photoelectric detection of light
{')L* 10 Quantization of the free electromagnetic field
~*aPeJ 11 Coherent states of the electromagnetic field
O |45r 12 Quantum correlations and photon statistics
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