Difference of cross-spectral densities

Santarsiero, Massimo; Piquero, Gemma; Sande, Juan Carlos González de; Gori, F.

doi:10.1364/ol.39.001713

Cited by 39 publications

(13 citation statements)

References 24 publications

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“…Equations (8) and (9) are slightly more general distributions than given in [6], the difference accounting for anisotropy of correlation functions along x and y directions. In order for ( ) p v to be nonnegative [13,14] it suffices to set and .…”

Section: Optical Frames With Polar Symmetrymentioning

confidence: 99%

Random sources for optical frames

Korotkova¹,

Shchepakina²

2014

Opt. Express

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Analytical models for random sources producing far fields with frame-like intensity profiles are introduced. The frames can have polar and Cartesian symmetry and adjustable sharpness of the inner and outer edges. The frames are shape invariant throughout the far zone but expand due to diffraction with growing distance from the source. The generalization to multiple nested frames is also discussed. The applications of the frames are envisioned in material surface processing and particle trapping.

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Section: Optical Frames With Polar Symmetrymentioning

confidence: 99%

Random sources for optical frames

Korotkova¹,

Shchepakina²

2014

Opt. Express

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“…Furthermore, a recent study has confirmed the fact that the difference between the two CSDs is a genuine CSD if there exists a kernel with respect to which two CSDs W 0 1 and W 0 2 belong to the same class and have weight functions p 1 v and p 2 v satisfying the inequality p 1 ≥ p 2 for any v [11]. The function pv can be written as the difference between two nonnegative functions p 1 v and p 2 v such that…”

mentioning

confidence: 90%

“…In this Letter, we first introduce another partially coherent source class with a non-Gaussian Schell-model, which has a sinc Schell-model (SSM) correlation source, taken from a recent theory developed for analyzing the correlation sources and the fields that the sources generate [10]. And then, we construct the difference between two SSM sources to generate a new genuine spatial correlation source based on the propositions suggested recently by Santarsiero et al [11]. Two types of SSM sources have different coherence distributions which are found to lead to different intensity distributions of beams during propagation.…”

mentioning

confidence: 99%

Two types of sinc Schell-model beams and their propagation characteristics

Mei¹

2014

Opt. Lett.

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Two types of partially coherent beams with sinc Schell-model-correlated function are introduced. The evolution behaviors of scalar beams generated by these two types of sources in free space are investigated with the help of the weighted superposition method and numerical examples. It is illustrated that the far field produced by these two novel sources carry tunable flat and dark hollow profiles, respectively. Our results suggest two new kinds of modal structure of the correlation source and of the optical field that such sources produce.

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14] It is also expected that interesting results could be found if the vectorial nature of light is taken into account. The coherence and polarization characteristics of a light source can be appropriately described by its cross-spectral density matrix (CSDM).…”

Section: Introductionmentioning

confidence: 99%

Partially polarized pseudo-Schell model sources

Martı́nez-Herrero

Maluenda

Piquero

et al. 2017

Third International Conference on Applications of Optics and Photonics

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In this work a new type of partially polarized and partially coherent sources is proposed. The coherence characteristics of these sources are dependent on the difference of the radial distances from the source center of the two points to be compared. The coherence is perfect for points located on the same circle centered on the source center and decreases for points that belongs to different concentric circles. The maximum attainable coherence is related to the degree of polarization of the source. Coherence and polarization characteristics of this kind of fields at the source plane and upon free space propagation are analyzed in detail for a simple case. For the particular presented example, a partially polarized and partially coherent field is obtained, whose polarization properties are invariant in propagation.

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Difference of cross-spectral densities

Cited by 39 publications

References 24 publications

Random sources for optical frames

Random sources for optical frames

Two types of sinc Schell-model beams and their propagation characteristics

Partially polarized pseudo-Schell model sources

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