2013
DOI: 10.1364/ol.38.002578
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Cosine-Gaussian Schell-model sources

Abstract: We introduce a new class of partially coherent sources of Schell type with cosine-Gaussian spectral degree of coherence and confirm that such sources are physically genuine. Further, we derive the expression for the cross-spectral density function of a beam generated by the novel source propagating in free space and analyze the evolution of the spectral density and the spectral degree of coherence. It is shown that at sufficiently large distances from the source the degree of coherence of the propagating beam … Show more

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Cited by 159 publications
(65 citation statements)
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“…Partially coherent fields can cause several different kinds of modifications to the spatial intensity distribution, such as self-focusing and far-field flat topping, among many others [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. However, they are not the only extraordinary phenomena caused by partial coherence; some correlation functions can decrease scintillation in atmospheric turbulence [17], while others increase the resolving power of imaging systems [18,19].…”
Section: Introductionmentioning
confidence: 99%
“…Partially coherent fields can cause several different kinds of modifications to the spatial intensity distribution, such as self-focusing and far-field flat topping, among many others [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. However, they are not the only extraordinary phenomena caused by partial coherence; some correlation functions can decrease scintillation in atmospheric turbulence [17], while others increase the resolving power of imaging systems [18,19].…”
Section: Introductionmentioning
confidence: 99%
“…2,3 Owing to these advantages and other applications, the generation and propagation of partially coherent beams have attracted much attention. For instance, partially coherent beams with different types of correlation, including Gaussian Schell-model arrays, 4 multi-Gaussian correlated Schell-model beams, 5 and cosine-Gaussian Schell-model beams 6,7 have been produced. Further to this, the propagation of partially coherent beams in atmospheric turbulence, 8,9 oceanic turbulence, [10][11][12] and isotropic random media 13 has also been investigated.…”
Section: Introductionmentioning
confidence: 99%
“…However, in most studies, the correlation functions of the partially coherent beams are restricted on Gaussian function because it is difficult to judge whether other correlation functions are physical realizable or not. Since Gori and co-workers derived the sufficient condition for devising genuine correlation functions for partially coherent scalar and vector beams [3,4], various partially coherent beams with different kinds of correlation functions have been introduced theoretically [5][6][7][8]. Meanwhile, several methods were proposed to produce such kinds of partially coherent beams [9][10][11][12].…”
Section: Introductionmentioning
confidence: 99%