Speckle Phenomena in Optics: Theory and Applications ]'k[u
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Joseph W. Goodman 2xn<E>]
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Contents ZPyM>XK$4
1 Origins and Manifestations of Speckle 1 s4$X
1.1 General Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 etyCrQ
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1.2 Intuitive Explanation of the Cause of Speckle . . . . . . . . . . . . . . . . . . . . . . . . . 2 >zmzK{A=
1.3 Some Mathematical Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 #*2Rp8n
2 Random Phasor Sums 7 FZXyfZw!|
2.1 First and Second Moments of the Real and Imaginary Parts of the Resultant Phasor . . . . . 8 qVBL>9O*.
2.2 Random Walk with a Large Number of Independent Steps . . . . . . . . . . . . . . . . . . 9 :<GfET Is
2.3 Random Phasor Sum Plus a Known Phasor . . . . . . . . . . . . . . . . . . . . . . . . . . 12 AIh*1>2Xn
2.4 Sums of Random Phasor Sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 "-
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2.5 Random Phasor Sums with a Finite Number of Equal-Length Components . . . . . . . . . 16 *vnXlV4L
2.6 Random Phasor Sums with a Nonuniform Distribution of Phases . . . . . . . . . . . . . . . 17 yN\e{;z`
3 First-Order Statistical Properties of Optical Speckle 23 }1U*A#aN7K
3.1 Definition of Intensity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 ((|IS[
3.2 First-Order Statistics of the Intensity and Phase . . . . . . . . . . . . . . . . . . . . . . . . 24 ZJ(rG((!
3.2.1 Large Number of Random Phasors . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 a2yE:16o6
3.2.2 Constant Phasor plus a Random Phasor Sum . . . . . . . . . . . . . . . . . . . . . 27 i8~$o:&HT
3.2.3 Finite Number of Equal-Length Phasors . . . . . . . . . . . . . . . . . . . . . . . . 31 } 0M{A+
3.3 Sums of Speckle Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 vv.PF~:
3.3.1 Sums on an Amplitude Basis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 f^9&WT
3.3.2 Sum of Two Independent Speckle Intensities . . . . . . . . . . . . . . . . . . . . . 34 Rri`dmH
3.3.3 Sum of N Independent Speckle Intensities . . . . . . . . . . . . . . . . . . . . . . 37 Hm9<