journal article·1973-08

Statistical properties of mutual intensity with finite measurement time

J. W. Goodman

Applied Physics· Volume 2· Issue 2
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Research context

OpenAlex topics: Laser Material Processing Techniques · Advanced Optical Sensing Technologies · Ocular and Laser Science Research

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References (15)

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1. The analytic signalu(P, t) has a real partu r (P, t) which is the actual real-valued wave disturbance, and an imaginary partu i (P, t) which is the Hilbert transform ofu r (P, t). For a discussion of analytic signals, see R.N. Bracewell:The Fourier Transform and its Applications (McGraw-Hill, New York 1965), pp. 267–272
2. E. Wolf: Proc. Roy. Society (A)225, 96 (1954);230, 226 (1955)10.1098/rspa.1954.0189 ↗
3. Throughout, a superbar over a symbol is used to indicate an infinite time average, or by ergodicity, an equivalent ensemble average
4. See, for example, J.W. Goodman: Synthetic Aperture Optics, inProgress in Optics, Vol. VII, ed. by E. Wolf (North-Holland Pub. Co., Amsterdam 1970), pp. 4–9
5. M. Born, E. Wolf:Principles of Optics, 2nd rev. Ed. (Pergamon Press, Oxoford 1964) Section 10.4.1
6. L. Mandel: J. Opt. Soc. Am.51, 1342 (1961)10.1364/JOSA.51.001342 ↗
7. S. Lowenthal, D. Joyeaux: J. Opt. Soc. Am.61, 847 (1971)10.1364/JOSA.61.000847 ↗
8. L. Mandel: Proc. Phys. Soc.72, 1037 (1958)10.1088/0370-1328/72/6/312 ↗
9. D. Middleton:An Introduction to Statistical Communication Theory (McGraw-Hill New York 1960) Section 7.7
10. P. Beckmann:Probability in Communication Engineering (Harcourt, Brace & World, Inc., New York 1967) Section 4.4
11. See Ref.—:Probability in Communication Engineering (Harcourt, Brace & World, Inc., New York 1967), Section 4.6
12. J.B. Thomas:An Introduction to Statistical Communication Theory (John Wiley & Sons New York 1969) Section 4.8
13. See Ref.—:An Introduction to Statistical Communication Theory (John Wiley & Sons New York 1969), Fig. 4.8
14. The symbolE[·] is used to represent a statistical expectation operator
15. See Ref.—:An Introduction to Statistical Communication Theory (John Wiley & Sons New York 1969), p. 168