Speckle Phenomena in Optics: Theory and Applications ;R/=9l  
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Joseph W. Goodman py)V7*CgH  
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Contents L-Z1Xs  
1 Origins and Manifestations of Speckle 1 ~,ac{%8x  
1.1 General Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 @mW0EJ8bb  
1.2 Intuitive Explanation of the Cause of Speckle . . . . . . . . . . . . . . . . . . . . . . . . . 2 H>M0GL  
1.3 Some Mathematical Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Qg3 -%i/@  
2 Random Phasor Sums 7 O9!<L.X,%  
2.1 First and Second Moments of the Real and Imaginary Parts of the Resultant Phasor . . . . . 8 wjY3:S~  
2.2 Random Walk with a Large Number of Independent Steps . . . . . . . . . . . . . . . . . . 9 ?onZ:s2  
2.3 Random Phasor Sum Plus a Known Phasor . . . . . . . . . . . . . . . . . . . . . . . . . . 12 z]tvy).  
2.4 Sums of Random Phasor Sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 +&JF|#FQ`  
2.5 Random Phasor Sums with a Finite Number of Equal-Length Components . . . . . . . . . 16 Ff|?<\x0}A  
2.6 Random Phasor Sums with a Nonuniform Distribution of Phases . . . . . . . . . . . . . . . 17 ~aBALD0D;  
3 First-Order Statistical Properties of Optical Speckle 23 ~?nPp$^  
3.1 Definition of Intensity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 ~bgFU  
3.2 First-Order Statistics of the Intensity and Phase . . . . . . . . . . . . . . . . . . . . . . . . 24 V<+d o|@F  
3.2.1 Large Number of Random Phasors . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 jo+T!CUM'  
3.2.2 Constant Phasor plus a Random Phasor Sum . . . . . . . . . . . . . . . . . . . . . 27 HAP9XC(F]  
3.2.3 Finite Number of Equal-Length Phasors . . . . . . . . . . . . . . . . . . . . . . . . 31 qxk1Rzm?x  
3.3 Sums of Speckle Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 D_'Zucq  
3.3.1 Sums on an Amplitude Basis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 aY6]NpT  
3.3.2 Sum of Two Independent Speckle Intensities . . . . . . . . . . . . . . . . . . . . . 34 bD=_44
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3.3.3 Sum of N Independent Speckle Intensities . . . . . . . . . . . . . . . . . . . . . . 37 aMT&}3